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2593 lines
143 KiB
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2593 lines
143 KiB
HTML
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<html >
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<head><title>Method set</title>
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<!--l. 72--><div class="crosslinks"><p class="noindent"><span
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class="cmr-12">[</span><a
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href="userhtmlsu10.html" ><span
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class="cmr-12">next</span></a><span
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class="cmr-12">] [</span><a
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href="userhtmlsu8.html" ><span
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class="cmr-12">prev</span></a><span
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class="cmr-12">] [</span><a
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href="userhtmlsu8.html#tailuserhtmlsu8.html" ><span
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class="cmr-12">prev-tail</span></a><span
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class="cmr-12">] [</span><a
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href="#tailuserhtmlsu9.html"><span
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class="cmr-12">tail</span></a><span
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class="cmr-12">] [</span><a
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href="userhtmlse5.html#userhtmlsu9.html" ><span
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class="cmr-12">up</span></a><span
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class="cmr-12">] </span></p></div>
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<h4 class="subsectionHead"><span class="titlemark"><span
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class="cmr-12">5.2 </span></span> <a
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id="x19-180005.2"></a><span
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class="cmr-12">Method set</span></h4>
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<div class="center"
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>
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<!--l. 74--><p class="noindent" >
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<!--l. 75--><p class="noindent" ><span class="lstinline"></span><span
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class="cmtt-12">call</span><span
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class="cmtt-12"> </span><span
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class="cmtt-12">p</span><span
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class="cmtt-12">%</span><span
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class="cmtt-12">set</span><span
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class="cmtt-12">(</span><span
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class="cmtt-12">what</span><span
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class="cmtt-12">,</span><span
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class="cmtt-12">val</span><span
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class="cmtt-12">,</span><span
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class="cmtt-12">info</span><span
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class="cmtt-12"> </span><span
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class="cmtt-12">[,</span><span
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class="cmtt-12">ilev</span><span
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class="cmtt-12">,</span><span
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class="cmtt-12"> </span><span
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class="cmtt-12">ilmax</span><span
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class="cmtt-12">,</span><span
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class="cmtt-12"> </span><span
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class="cmtt-12">pos</span><span
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class="cmtt-12">,</span><span
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class="cmtt-12"> </span><span
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class="cmtt-12">idx</span><span
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class="cmtt-12">])</span></div>
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<!--l. 78--><p class="noindent" ><span
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class="cmr-12">This method sets the parameters defining the preconditioner </span><span class="lstinline"></span><span
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class="cmtt-12">p</span><span
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class="cmr-12">. More precisely, the</span>
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<span
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class="cmr-12">parameter identified by </span><span class="lstinline"></span><span
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class="cmtt-12">what</span> <span
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class="cmr-12">is assigned the value contained in </span><span class="lstinline"></span><span
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class="cmtt-12">val</span><span
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class="cmr-12">.</span>
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<!--l. 83--><p class="noindent" ><span
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class="cmbx-12">Arguments</span>
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<div class="tabular"> <table id="TBL-3" class="tabular"
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cellspacing="0" cellpadding="0"
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><colgroup id="TBL-3-1g"><col
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id="TBL-3-1"><col
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id="TBL-3-2"></colgroup><tr
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style="vertical-align:baseline;" id="TBL-3-1-"><td style="white-space:normal; text-align:left;" id="TBL-3-1-1"
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class="td11"><!--l. 86--><p class="noindent" ><span class="lstinline"></span><span
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class="cmtt-12">what</span> </td><td style="white-space:normal; text-align:left;" id="TBL-3-1-2"
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class="td11"><!--l. 86--><p class="noindent" ><span class="lstinline"></span><span
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class="cmtt-12">character</span><span
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class="cmtt-12">(</span><span
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class="cmtt-12">len</span><span
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class="cmtt-12">=*)</span><span
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class="cmr-12">.</span> </td>
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</tr><tr
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style="vertical-align:baseline;" id="TBL-3-2-"><td style="white-space:normal; text-align:left;" id="TBL-3-2-1"
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class="td11"><!--l. 87--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-3-2-2"
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class="td11"><!--l. 87--><p class="noindent" ><span
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class="cmr-12">The parameter to be set. It can be specified through its name; the</span>
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<span
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class="cmr-12">string is case-insensitive. See Tables</span><span
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class="cmr-12"> </span><a
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href="#x19-18009r2"><span
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class="cmr-12">2</span><!--tex4ht:ref: tab:p_cycle --></a><span
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class="cmr-12">-</span><a
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href="#x19-18015r8"><span
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class="cmr-12">8</span><!--tex4ht:ref: tab:p_smoother_1 --></a><span
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class="cmr-12">.</span> </td>
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</tr><tr
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style="vertical-align:baseline;" id="TBL-3-3-"><td style="white-space:normal; text-align:left;" id="TBL-3-3-1"
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class="td11"><!--l. 90--><p class="noindent" ><span class="lstinline"></span><span
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class="cmtt-12">val</span><span
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class="cmtt-12"> </span> </td><td style="white-space:normal; text-align:left;" id="TBL-3-3-2"
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class="td11"><!--l. 90--><p class="noindent" ><span class="lstinline"></span><span
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class="cmtt-12">integer</span> <span
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class="cmti-12">or </span><span class="lstinline"></span><span
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class="cmtt-12">character</span><span
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class="cmtt-12">(</span><span
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class="cmtt-12">len</span><span
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class="cmtt-12">=*)</span> <span
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class="cmti-12">or </span><span class="lstinline"></span><span
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class="cmtt-12">real</span><span
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class="cmtt-12">(</span><span
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class="cmtt-12">psb_spk_</span><span
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class="cmtt-12">)</span> <span
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class="cmti-12">or</span>
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<span class="lstinline"></span><span
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class="cmtt-12">real</span><span
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class="cmtt-12">(</span><span
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class="cmtt-12">psb_dpk_</span><span
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class="cmtt-12">)</span><span
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class="cmr-12">, </span><span class="lstinline"></span><span
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class="cmtt-12">intent</span><span
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class="cmtt-12">(</span><span
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class="cmtt-12">in</span><span
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class="cmtt-12">)</span><span
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class="cmr-12">.</span> </td>
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</tr><tr
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style="vertical-align:baseline;" id="TBL-3-4-"><td style="white-space:normal; text-align:left;" id="TBL-3-4-1"
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class="td11"><!--l. 93--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-3-4-2"
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class="td11"><!--l. 93--><p class="noindent" ><span
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class="cmr-12">The value of the parameter to be set. The list of allowed values and</span>
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<span
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class="cmr-12">the corresponding data types is given in Tables</span><span
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class="cmr-12"> </span><a
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href="#x19-18009r2"><span
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class="cmr-12">2</span><!--tex4ht:ref: tab:p_cycle --></a><span
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class="cmr-12">-</span><a
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href="#x19-18015r8"><span
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class="cmr-12">8</span><!--tex4ht:ref: tab:p_smoother_1 --></a><span
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class="cmr-12">. When the value</span>
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<span
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class="cmr-12">is of type </span><span class="lstinline"></span><span
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class="cmtt-12">character</span><span
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class="cmtt-12">(</span><span
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class="cmtt-12">len</span><span
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class="cmtt-12">=*)</span><span
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class="cmr-12">, it is also treated as case insensitive.</span></td>
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</tr><tr
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style="vertical-align:baseline;" id="TBL-3-5-"><td style="white-space:normal; text-align:left;" id="TBL-3-5-1"
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class="td11"><!--l. 98--><p class="noindent" ><span class="lstinline"></span><span
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class="cmtt-12">info</span> </td><td style="white-space:normal; text-align:left;" id="TBL-3-5-2"
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class="td11"><!--l. 98--><p class="noindent" ><span class="lstinline"></span><span
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class="cmtt-12">integer</span><span
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class="cmtt-12">,</span><span
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class="cmtt-12"> </span><span
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class="cmtt-12">intent</span><span
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class="cmtt-12">(</span><span
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class="cmtt-12">out</span><span
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|
class="cmtt-12">)</span><span
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class="cmr-12">.</span> </td>
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</tr><tr
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style="vertical-align:baseline;" id="TBL-3-6-"><td style="white-space:normal; text-align:left;" id="TBL-3-6-1"
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class="td11"><!--l. 99--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-3-6-2"
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class="td11"><!--l. 99--><p class="noindent" ><span
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class="cmr-12">Error code. If no error, 0 is returned. See Section</span><span
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class="cmr-12"> </span><a
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href="userhtmlse7.html#x28-320007"><span
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class="cmr-12">7</span><!--tex4ht:ref: sec:errors --></a> <span
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class="cmr-12">for details.</span> </td>
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</tr><tr
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style="vertical-align:baseline;" id="TBL-3-7-"><td style="white-space:normal; text-align:left;" id="TBL-3-7-1"
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class="td11"><!--l. 101--><p class="noindent" ><span class="lstinline"></span><span
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class="cmtt-12">ilev</span> </td><td style="white-space:normal; text-align:left;" id="TBL-3-7-2"
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class="td11"><!--l. 101--><p class="noindent" ><span class="lstinline"></span><span
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class="cmtt-12">integer</span><span
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class="cmtt-12">,</span><span
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class="cmtt-12"> </span><span
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class="cmtt-12">optional</span><span
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|
class="cmtt-12">,</span><span
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class="cmtt-12"> </span><span
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class="cmtt-12">intent</span><span
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|
class="cmtt-12">(</span><span
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class="cmtt-12">in</span><span
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class="cmtt-12">)</span><span
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class="cmr-12">.</span> </td>
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</tr><tr
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style="vertical-align:baseline;" id="TBL-3-8-"><td style="white-space:normal; text-align:left;" id="TBL-3-8-1"
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class="td11"><!--l. 102--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-3-8-2"
|
|
class="td11"><!--l. 102--><p class="noindent" ><span
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|
class="cmr-12">For the multilevel preconditioner, the level at which the</span>
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<span
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|
class="cmr-12">preconditioner parameter has to be set. The levels are numbered</span>
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|
<span
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|
class="cmr-12">in increasing order starting from the finest one, i.e., level 1 is the</span>
|
|
<span
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|
class="cmr-12">finest level. If </span><span class="lstinline"></span><span
|
|
class="cmtt-12">ilev</span> <span
|
|
class="cmr-12">is not present, the parameter identified by </span><span class="lstinline"></span><span
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|
class="cmtt-12">what</span>
|
|
<span
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|
class="cmr-12">is set at all levels that are appropriate (see Tables</span><span
|
|
class="cmr-12"> </span><a
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|
href="#x19-18009r2"><span
|
|
class="cmr-12">2</span><!--tex4ht:ref: tab:p_cycle --></a><span
|
|
class="cmr-12">-</span><a
|
|
href="#x19-18015r8"><span
|
|
class="cmr-12">8</span><!--tex4ht:ref: tab:p_smoother_1 --></a><span
|
|
class="cmr-12">).</span> </td>
|
|
</tr><tr
|
|
style="vertical-align:baseline;" id="TBL-3-9-"><td style="white-space:normal; text-align:left;" id="TBL-3-9-1"
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class="td11"><!--l. 109--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-12">ilmax</span> </td><td style="white-space:normal; text-align:left;" id="TBL-3-9-2"
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class="td11"><!--l. 109--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-12">integer</span><span
|
|
class="cmtt-12">,</span><span
|
|
class="cmtt-12"> </span><span
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|
class="cmtt-12">optional</span><span
|
|
class="cmtt-12">,</span><span
|
|
class="cmtt-12"> </span><span
|
|
class="cmtt-12">intent</span><span
|
|
class="cmtt-12">(</span><span
|
|
class="cmtt-12">in</span><span
|
|
class="cmtt-12">)</span><span
|
|
class="cmr-12">.</span> </td>
|
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</tr><tr
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|
style="vertical-align:baseline;" id="TBL-3-10-"><td style="white-space:normal; text-align:left;" id="TBL-3-10-1"
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class="td11"><!--l. 110--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-3-10-2"
|
|
class="td11"><!--l. 110--><p class="noindent" ><span
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|
class="cmr-12">For the multilevel preconditioner, when both </span><span class="lstinline"></span><span
|
|
class="cmtt-12">ilev</span> <span
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|
class="cmr-12">and </span><span class="lstinline"></span><span
|
|
class="cmtt-12">ilmax</span> <span
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|
class="cmr-12">are</span>
|
|
<span
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|
class="cmr-12">present, the settings are applied at all levels </span><span class="lstinline"></span><span
|
|
class="cmtt-12">ilev</span><span
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|
class="cmtt-12">:</span><span
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class="cmtt-12">ilmax</span><span
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class="cmr-12">. When</span>
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<span class="lstinline"></span><span
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class="cmtt-12">ilev</span> <span
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|
class="cmr-12">is present but </span><span class="lstinline"></span><span
|
|
class="cmtt-12">ilmax</span> <span
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class="cmr-12">is not, then the default is </span><span class="lstinline"></span><span
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class="cmtt-12">ilmax</span><span
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class="cmtt-12">=</span><span
|
|
class="cmtt-12">ilev</span><span
|
|
class="cmr-12">.</span>
|
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<span
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class="cmr-12">The levels are numbered in increasing order starting from the finest</span>
|
|
<span
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|
class="cmr-12">one, i.e., level 1 is the finest level.</span> </td>
|
|
</tr><tr
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style="vertical-align:baseline;" id="TBL-3-11-"><td style="white-space:normal; text-align:left;" id="TBL-3-11-1"
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|
class="td11"><!--l. 117--><p class="noindent" ><span class="lstinline"></span><span
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class="cmtt-12">pos</span> </td><td style="white-space:normal; text-align:left;" id="TBL-3-11-2"
|
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class="td11"><!--l. 117--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-12">character</span><span
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|
class="cmtt-12">(</span><span
|
|
class="cmtt-12">len</span><span
|
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class="cmtt-12">=*),</span><span
|
|
class="cmtt-12"> </span><span
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|
class="cmtt-12">optional</span><span
|
|
class="cmtt-12">,</span><span
|
|
class="cmtt-12"> </span><span
|
|
class="cmtt-12">intent</span><span
|
|
class="cmtt-12">(</span><span
|
|
class="cmtt-12">in</span><span
|
|
class="cmtt-12">)</span><span
|
|
class="cmr-12">.</span> </td>
|
|
</tr><tr
|
|
style="vertical-align:baseline;" id="TBL-3-12-"><td style="white-space:normal; text-align:left;" id="TBL-3-12-1"
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|
class="td11"><!--l. 118--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-3-12-2"
|
|
class="td11"><!--l. 118--><p class="noindent" ><span
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|
class="cmr-12">Whether the other arguments apply only to the pre-smoother</span>
|
|
<span
|
|
class="cmr-12">(</span><span class="lstinline"></span><span
|
|
class="cmtt-12">’</span><span
|
|
class="cmtt-12">PRE</span><span
|
|
class="cmtt-12">’</span><span
|
|
class="cmr-12">) or to the post-smoother (</span><span class="lstinline"></span><span
|
|
class="cmtt-12">’</span><span
|
|
class="cmtt-12">POST</span><span
|
|
class="cmtt-12">’</span><span
|
|
class="cmr-12">). If </span><span class="lstinline"></span><span
|
|
class="cmtt-12">pos</span> <span
|
|
class="cmr-12">is not present,</span>
|
|
<span
|
|
class="cmr-12">the other arguments are applied to both smoothers. If the</span>
|
|
<span
|
|
class="cmr-12">preconditioner is one-level or the parameter identified by </span><span class="lstinline"></span><span
|
|
class="cmtt-12">what</span> <span
|
|
class="cmr-12">does</span>
|
|
<span
|
|
class="cmr-12">not concern the smoothers, </span><span class="lstinline"></span><span
|
|
class="cmtt-12">pos</span> <span
|
|
class="cmr-12">is ignored.</span> </td>
|
|
</tr><tr
|
|
style="vertical-align:baseline;" id="TBL-3-13-"><td style="white-space:normal; text-align:left;" id="TBL-3-13-1"
|
|
class="td11"><!--l. 123--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-12">idx</span> </td><td style="white-space:normal; text-align:left;" id="TBL-3-13-2"
|
|
class="td11"><!--l. 123--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-12">integer</span><span
|
|
class="cmtt-12">,</span><span
|
|
class="cmtt-12"> </span><span
|
|
class="cmtt-12">optional</span><span
|
|
class="cmtt-12">,</span><span
|
|
class="cmtt-12"> </span><span
|
|
class="cmtt-12">intent</span><span
|
|
class="cmtt-12">(</span><span
|
|
class="cmtt-12">in</span><span
|
|
class="cmtt-12">)</span><span
|
|
class="cmr-12">.</span> </td>
|
|
</tr><tr
|
|
style="vertical-align:baseline;" id="TBL-3-14-"><td style="white-space:normal; text-align:left;" id="TBL-3-14-1"
|
|
class="td11"><!--l. 124--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-3-14-2"
|
|
class="td11"><!--l. 124--><p class="noindent" ><span
|
|
class="cmr-12">An auxiliary input argument that can be passed to the underlying</span>
|
|
<span
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|
class="cmr-12">objects.</span> </td>
|
|
</tr></table></div>
|
|
<!--l. 129--><p class="noindent" >
|
|
<!--l. 134--><p class="indent" > <span
|
|
class="cmr-12">A variety of preconditioners can be obtained by setting the appropriate</span>
|
|
<span
|
|
class="cmr-12">preconditioner parameters. These parameters can be logically divided into four groups,</span>
|
|
<span
|
|
class="cmr-12">i.e., parameters defining</span>
|
|
<ol class="enumerate1" >
|
|
<li
|
|
class="enumerate" id="x19-18002x1"><span
|
|
class="cmr-12">the type of multilevel cycle and how many cycles must be applied;</span>
|
|
</li>
|
|
<li
|
|
class="enumerate" id="x19-18004x2"><span
|
|
class="cmr-12">the coarsening algorithm;</span>
|
|
</li>
|
|
<li
|
|
class="enumerate" id="x19-18006x3"><span
|
|
class="cmr-12">the solver at the coarsest level (for multilevel preconditioners only);</span>
|
|
</li>
|
|
<li
|
|
class="enumerate" id="x19-18008x4"><span
|
|
class="cmr-12">the smoother of the multilevel preconditioners, or the one-level</span>
|
|
|
|
|
|
|
|
<span
|
|
class="cmr-12">preconditioner.</span></li></ol>
|
|
<!--l. 145--><p class="noindent" ><span
|
|
class="cmr-12">A list of the parameters that can be set, along with their allowed and default values, is</span>
|
|
<span
|
|
class="cmr-12">given in Tables</span><span
|
|
class="cmr-12"> </span><a
|
|
href="#x19-18009r2"><span
|
|
class="cmr-12">2</span><!--tex4ht:ref: tab:p_cycle --></a><span
|
|
class="cmr-12">-</span><a
|
|
href="#x19-18015r8"><span
|
|
class="cmr-12">8</span><!--tex4ht:ref: tab:p_smoother_1 --></a><span
|
|
class="cmr-12">.</span><br
|
|
class="newline" />
|
|
<!--l. 148--><p class="indent" > <span
|
|
class="cmbx-12">Remark 2. </span><span
|
|
class="cmr-12">A smoother is usually obtained by combining two objects: a</span>
|
|
<span
|
|
class="cmr-12">smoother (</span><span class="lstinline"></span><span
|
|
class="cmtt-12">’</span><span
|
|
class="cmtt-12">SMOOTHER_TYPE</span><span
|
|
class="cmtt-12">’</span><span
|
|
class="cmr-12">) and a local solver (</span><span class="lstinline"></span><span
|
|
class="cmtt-12">’</span><span
|
|
class="cmtt-12">SUB_SOLVE</span><span
|
|
class="cmtt-12">’</span><span
|
|
class="cmr-12">), as specified in</span>
|
|
<span
|
|
class="cmr-12">Tables</span><span
|
|
class="cmr-12"> </span><a
|
|
href="#x19-18014r7"><span
|
|
class="cmr-12">7</span><!--tex4ht:ref: tab:p_smoother --></a><span
|
|
class="cmr-12">-</span><a
|
|
href="#x19-18015r8"><span
|
|
class="cmr-12">8</span><!--tex4ht:ref: tab:p_smoother_1 --></a><span
|
|
class="cmr-12">. For example, the block-Jacobi smoother using ILU(0) on the blocks is</span>
|
|
<span
|
|
class="cmr-12">obtained by combining the block-Jacobi smoother object with the ILU(0) solver</span>
|
|
<span
|
|
class="cmr-12">object. Similarly, the hybrid Gauss-Seidel smoother (see Note in Table</span><span
|
|
class="cmr-12"> </span><a
|
|
href="#x19-18014r7"><span
|
|
class="cmr-12">7</span><!--tex4ht:ref: tab:p_smoother --></a><span
|
|
class="cmr-12">) is</span>
|
|
<span
|
|
class="cmr-12">obtained by combining the block-Jacobi smoother object with a single sweep of</span>
|
|
<span
|
|
class="cmr-12">the Gauss-Seidel solver object, while the point-Jacobi smoother is the result</span>
|
|
<span
|
|
class="cmr-12">of combining the block-Jacobi smoother object with a single sweep of the</span>
|
|
<span
|
|
class="cmr-12">point-Jacobi solver object. In the same way are obtained the </span><span
|
|
class="cmmi-12">ℓ</span><sub><span
|
|
class="cmr-8">1</span></sub><span
|
|
class="cmr-12">-versions of the</span>
|
|
<span
|
|
class="cmr-12">smoothers. However, for simplicity, shortcuts are provided to set all versions of</span>
|
|
<span
|
|
class="cmr-12">point-Jacobi, hybrid (forward) Gauss-Seidel, and hybrid backward Gauss-Seidel, i.e.,</span>
|
|
<span
|
|
class="cmr-12">the previous smoothers can be defined just by setting </span><span class="lstinline"></span><span
|
|
class="cmtt-12">’</span><span
|
|
class="cmtt-12">SMOOTHER_TYPE</span><span
|
|
class="cmtt-12">’</span> <span
|
|
class="cmr-12">to</span>
|
|
<span
|
|
class="cmr-12">certain specific values (see Tables</span><span
|
|
class="cmr-12"> </span><a
|
|
href="#x19-18014r7"><span
|
|
class="cmr-12">7</span><!--tex4ht:ref: tab:p_smoother --></a><span
|
|
class="cmr-12">), without the need to set </span><span class="lstinline"></span><span
|
|
class="cmtt-12">’</span><span
|
|
class="cmtt-12">SUB_SOLVE</span><span
|
|
class="cmtt-12">’</span> <span
|
|
class="cmr-12">as</span>
|
|
<span
|
|
class="cmr-12">well.</span>
|
|
<!--l. 166--><p class="indent" > <span
|
|
class="cmr-12">The smoother and solver objects are arranged in a hierarchical manner. When</span>
|
|
<span
|
|
class="cmr-12">specifying a smoother object, its parameters, including the local solver, are set to</span>
|
|
<span
|
|
class="cmr-12">their default values, and when a solver object is specified, its defaults are also</span>
|
|
<span
|
|
class="cmr-12">set, overriding in both cases any previous settings even if explicitly specified.</span>
|
|
<span
|
|
class="cmr-12">Therefore if the user sets a smoother, and wishes to use a solver different from</span>
|
|
<span
|
|
class="cmr-12">the default one, the call to set the solver must come </span><span
|
|
class="cmti-12">after </span><span
|
|
class="cmr-12">the call to set the</span>
|
|
<span
|
|
class="cmr-12">smoother.</span>
|
|
<!--l. 175--><p class="indent" > <span
|
|
class="cmr-12">Similar considerations apply to the point-Jacobi, Gauss-Seidel and block-Jacobi</span>
|
|
<span
|
|
class="cmr-12">coarsest-level solvers, and shortcuts are available in this case too (see Table</span><span
|
|
class="cmr-12"> </span><a
|
|
href="#x19-18012r5"><span
|
|
class="cmr-12">5</span><!--tex4ht:ref: tab:p_coarse_1 --></a><span
|
|
class="cmr-12">).</span>
|
|
<br
|
|
class="newline" />
|
|
<!--l. 179--><p class="indent" > <span
|
|
class="cmbx-12">Remark 3. </span><span
|
|
class="cmr-12">Many of the coarsest-level solvers cannot be used with both replicated</span>
|
|
<span
|
|
class="cmr-12">and distributed coarsest-matrix layouts; therefore, setting the solver after the layout</span>
|
|
<span
|
|
class="cmr-12">may change the layout. Similarly, setting the layout after the solver may change the</span>
|
|
<span
|
|
class="cmr-12">solver.</span>
|
|
<!--l. 184--><p class="indent" > <span
|
|
class="cmr-12">More precisely, UMFPACK and SuperLU require the coarsest-level matrix to be</span>
|
|
<span
|
|
class="cmr-12">replicated, while SuperLU</span><span
|
|
class="cmr-12">_Dist and KRM require it to be distributed. In these cases,</span>
|
|
<span
|
|
class="cmr-12">setting the coarsest-level solver implies that the layout is redefined according to the</span>
|
|
<span
|
|
class="cmr-12">solver, ovverriding any previous settings. MUMPS, point-Jacobi, hybrid Gauss-Seidel</span>
|
|
<span
|
|
class="cmr-12">and block-Jacobi can be applied to replicated and distributed matrices, thus their</span>
|
|
<span
|
|
class="cmr-12">choice does not modify any previously specified layout. It is worth noting that, when</span>
|
|
<span
|
|
class="cmr-12">the matrix is replicated, the point-Jacobi, hybrid Gauss-Seidel and block-Jacobi solvers</span>
|
|
<span
|
|
class="cmr-12">and their </span><span
|
|
class="cmmi-12">ℓ</span><sub><span
|
|
class="cmr-8">1</span></sub><span
|
|
class="cmsy-10x-x-120">- </span><span
|
|
class="cmr-12">versions reduce to the corresponding local solver objects (see Remark</span><span
|
|
class="cmr-12"> 2).</span>
|
|
<span
|
|
class="cmr-12">For the point-Jacobi and Gauss-Seidel solvers, these objects correspond to a </span><span
|
|
class="cmti-12">single</span>
|
|
|
|
|
|
|
|
<span
|
|
class="cmr-12">point-Jacobi sweep and a </span><span
|
|
class="cmti-12">single </span><span
|
|
class="cmr-12">Gauss-Seidel sweep, respectively, which are very poor</span>
|
|
<span
|
|
class="cmr-12">solvers.</span>
|
|
<!--l. 199--><p class="indent" > <span
|
|
class="cmr-12">On the other hand, the distributed layout can be used with any solver but</span>
|
|
<span
|
|
class="cmr-12">UMFPACK and SuperLU; therefore, if any of these two solvers has already been</span>
|
|
<span
|
|
class="cmr-12">selected, the coarsest-level solver is changed to block-Jacobi, with the previously chosen</span>
|
|
<span
|
|
class="cmr-12">solver applied to the local blocks. Likewise, the replicated layout can be used with any</span>
|
|
<span
|
|
class="cmr-12">solver but SuperLu</span><span
|
|
class="cmr-12">_Dist and KRM; therefore, if SuperLu</span><span
|
|
class="cmr-12">_Dist or KRM have been</span>
|
|
<span
|
|
class="cmr-12">previously set, the coarsest-level solver is changed to the default sequential</span>
|
|
<span
|
|
class="cmr-12">solver.</span>
|
|
<!--l. 207--><p class="indent" > <span
|
|
class="cmr-12">In a parallel setting with many cores, we suggest to the users to change the default</span>
|
|
<span
|
|
class="cmr-12">coarsest solver for using the KRM choice, i.e. a parallel distributed iterative solution of</span>
|
|
<span
|
|
class="cmr-12">the coarsest system based on Krylov methods.</span>
|
|
<!--l. 211--><p class="indent" > <span
|
|
class="cmbx-12">Remark 4. </span><span
|
|
class="cmr-12">The argument </span><span class="lstinline"></span><span
|
|
class="cmtt-12">idx</span> <span
|
|
class="cmr-12">can be used to allow finer control for those solvers;</span>
|
|
<span
|
|
class="cmr-12">for instance, by specifying the keyword </span><span class="lstinline"></span><span
|
|
class="cmtt-12">’</span><span
|
|
class="cmtt-12">MUMPS_IPAR_ENTRY</span><span
|
|
class="cmtt-12">’</span> <span
|
|
class="cmr-12">and an appropriate value</span>
|
|
<span
|
|
class="cmr-12">for </span><span class="lstinline"></span><span
|
|
class="cmtt-12">idx</span><span
|
|
class="cmr-12">, it is possible to set any entry in the MUMPS integer control array. See also</span>
|
|
<span
|
|
class="cmr-12">Sec.</span><span
|
|
class="cmr-12"> </span><a
|
|
href="userhtmlse6.html#x27-310006"><span
|
|
class="cmr-12">6</span><!--tex4ht:ref: sec:adding --></a><span
|
|
class="cmr-12">.</span>
|
|
<div class="table">
|
|
|
|
|
|
|
|
<!--l. 222--><p class="indent" > <a
|
|
id="x19-18009r2"></a><hr class="float"><div class="float"
|
|
>
|
|
|
|
|
|
|
|
<div class="center"
|
|
>
|
|
<!--l. 222--><p class="noindent" >
|
|
<div class="tabular"> <table id="TBL-4" class="tabular"
|
|
cellspacing="0" cellpadding="0"
|
|
><colgroup id="TBL-4-1g"><col
|
|
id="TBL-4-1"></colgroup><colgroup id="TBL-4-2g"><col
|
|
id="TBL-4-2"></colgroup><colgroup id="TBL-4-3g"><col
|
|
id="TBL-4-3"></colgroup><colgroup id="TBL-4-4g"><col
|
|
id="TBL-4-4"></colgroup><colgroup id="TBL-4-5g"><col
|
|
id="TBL-4-5"></colgroup><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-4-1-"><td style="white-space:normal; text-align:left;" id="TBL-4-1-1"
|
|
class="td11"><!--l. 226--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">what</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-4-1-2"
|
|
class="td11"><span
|
|
class="cmcsc-10x-x-109"><span
|
|
class="small-caps">d</span><span
|
|
class="small-caps">a</span><span
|
|
class="small-caps">t</span><span
|
|
class="small-caps">a</span> <span
|
|
class="small-caps">t</span><span
|
|
class="small-caps">y</span><span
|
|
class="small-caps">p</span><span
|
|
class="small-caps">e</span> </span></td><td style="white-space:normal; text-align:left;" id="TBL-4-1-3"
|
|
class="td11"><!--l. 226--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">val</span> </td><td style="white-space:normal; text-align:left;" id="TBL-4-1-4"
|
|
class="td11"><!--l. 226--><p class="noindent" ><span
|
|
class="cmcsc-10x-x-109"><span
|
|
class="small-caps">d</span><span
|
|
class="small-caps">e</span><span
|
|
class="small-caps">f</span><span
|
|
class="small-caps">a</span><span
|
|
class="small-caps">u</span><span
|
|
class="small-caps">l</span><span
|
|
class="small-caps">t</span></span> </td><td style="white-space:normal; text-align:left;" id="TBL-4-1-5"
|
|
class="td11"><!--l. 227--><p class="noindent" ><span
|
|
class="cmcsc-10x-x-109"><span
|
|
class="small-caps">c</span><span
|
|
class="small-caps">o</span><span
|
|
class="small-caps">m</span><span
|
|
class="small-caps">m</span><span
|
|
class="small-caps">e</span><span
|
|
class="small-caps">n</span><span
|
|
class="small-caps">t</span><span
|
|
class="small-caps">s</span></span> </td></tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-4-2-"><td style="white-space:normal; text-align:left;" id="TBL-4-2-1"
|
|
class="td11"><!--l. 228--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">ML_CYCLE</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-4-2-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 228--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">character</span><span
|
|
class="cmtt-10x-x-109">(</span><span
|
|
class="cmtt-10x-x-109">len</span><span
|
|
class="cmtt-10x-x-109">=*)</span> </td><td style="white-space:normal; text-align:left;" id="TBL-4-2-3"
|
|
class="td11"><!--l. 229--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">VCYCLE</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<!--l. 229--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">WCYCLE</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<!--l. 229--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">KCYCLE</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<!--l. 229--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">ADD</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-4-2-4"
|
|
class="td11"><!--l. 230--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">VCYCLE</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-4-2-5"
|
|
class="td11"><!--l. 231--><p class="noindent" >Multilevel cycle: V-cycle, W-cycle, K-cycle,
|
|
and additive composition. </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-4-3-"><td style="white-space:normal; text-align:left;" id="TBL-4-3-1"
|
|
class="td11"><!--l. 232--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">CYCLE_SWEEPS</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-4-3-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 232--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">integer</span> </td><td style="white-space:normal; text-align:left;" id="TBL-4-3-3"
|
|
class="td11"><!--l. 233--><p class="noindent" >Any integer
|
|
<!--l. 233--><p class="noindent" >number <span
|
|
class="cmsy-10x-x-109">≥ </span>1 </td><td style="white-space:normal; text-align:left;" id="TBL-4-3-4"
|
|
class="td11"><!--l. 233--><p class="noindent" >1 </td><td style="white-space:normal; text-align:left;" id="TBL-4-3-5"
|
|
class="td11"><!--l. 234--><p class="noindent" >Number of multilevel cycles. </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-4-4-"><td style="white-space:normal; text-align:left;" id="TBL-4-4-1"
|
|
class="td11"> </td></tr></table></div></div>
|
|
<br /> <div class="caption"
|
|
><span class="id">Table 2: </span><span
|
|
class="content">Parameters defining the multilevel cycle and the number of cycles to be
|
|
applied. </span></div><!--tex4ht:label?: x19-18009r2 -->
|
|
|
|
|
|
|
|
</div><hr class="endfloat" />
|
|
</div>
|
|
<div class="table">
|
|
|
|
|
|
|
|
<!--l. 244--><p class="indent" > <a
|
|
id="x19-18010r3"></a><hr class="float"><div class="float"
|
|
>
|
|
|
|
|
|
|
|
<div class="center"
|
|
>
|
|
<!--l. 244--><p class="noindent" >
|
|
|
|
|
|
|
|
<div class="tabular"> <table id="TBL-5" class="tabular"
|
|
cellspacing="0" cellpadding="0"
|
|
><colgroup id="TBL-5-1g"><col
|
|
id="TBL-5-1"></colgroup><colgroup id="TBL-5-2g"><col
|
|
id="TBL-5-2"></colgroup><colgroup id="TBL-5-3g"><col
|
|
id="TBL-5-3"></colgroup><colgroup id="TBL-5-4g"><col
|
|
id="TBL-5-4"></colgroup><colgroup id="TBL-5-5g"><col
|
|
id="TBL-5-5"></colgroup><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-5-1-"><td style="white-space:normal; text-align:left;" id="TBL-5-1-1"
|
|
class="td11"><!--l. 248--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">what</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-5-1-2"
|
|
class="td11"><span
|
|
class="cmcsc-10x-x-109"><span
|
|
class="small-caps">d</span><span
|
|
class="small-caps">a</span><span
|
|
class="small-caps">t</span><span
|
|
class="small-caps">a</span> <span
|
|
class="small-caps">t</span><span
|
|
class="small-caps">y</span><span
|
|
class="small-caps">p</span><span
|
|
class="small-caps">e</span> </span></td><td style="white-space:normal; text-align:left;" id="TBL-5-1-3"
|
|
class="td11"><!--l. 248--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">val</span> </td><td style="white-space:normal; text-align:left;" id="TBL-5-1-4"
|
|
class="td11"><!--l. 248--><p class="noindent" ><span
|
|
class="cmcsc-10x-x-109"><span
|
|
class="small-caps">d</span><span
|
|
class="small-caps">e</span><span
|
|
class="small-caps">f</span><span
|
|
class="small-caps">a</span><span
|
|
class="small-caps">u</span><span
|
|
class="small-caps">l</span><span
|
|
class="small-caps">t</span></span> </td><td style="white-space:normal; text-align:left;" id="TBL-5-1-5"
|
|
class="td11"><!--l. 249--><p class="noindent" ><span
|
|
class="cmcsc-10x-x-109"><span
|
|
class="small-caps">c</span><span
|
|
class="small-caps">o</span><span
|
|
class="small-caps">m</span><span
|
|
class="small-caps">m</span><span
|
|
class="small-caps">e</span><span
|
|
class="small-caps">n</span><span
|
|
class="small-caps">t</span><span
|
|
class="small-caps">s</span></span> </td></tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-5-2-"><td style="white-space:normal; text-align:left;" id="TBL-5-2-1"
|
|
class="td11"><!--l. 250--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">MIN_COARSE_SIZE_PER_PROCESS</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-5-2-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 250--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">integer</span> </td><td style="white-space:normal; text-align:left;" id="TBL-5-2-3"
|
|
class="td11"><!--l. 251--><p class="noindent" >Any number
|
|
<!--l. 251--><p class="noindent" ><span
|
|
class="cmmi-10x-x-109">> </span>0 </td><td style="white-space:normal; text-align:left;" id="TBL-5-2-4"
|
|
class="td11"><!--l. 252--><p class="noindent" >200 </td><td style="white-space:normal; text-align:left;" id="TBL-5-2-5"
|
|
class="td11"><!--l. 253--><p class="noindent" >Coarse size threshold per process. The
|
|
aggregation stops if the global number of
|
|
variables of the computed coarsest matrix
|
|
is lower than or equal to this threshold
|
|
multiplied by the number of processes
|
|
(see Note). </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-5-3-"><td style="white-space:normal; text-align:left;" id="TBL-5-3-1"
|
|
class="td11"><!--l. 259--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">MIN_COARSE_SIZE</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-5-3-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 259--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">integer</span> </td><td style="white-space:normal; text-align:left;" id="TBL-5-3-3"
|
|
class="td11"><!--l. 260--><p class="noindent" >Any number
|
|
<!--l. 260--><p class="noindent" ><span
|
|
class="cmmi-10x-x-109">> </span>0 </td><td style="white-space:normal; text-align:left;" id="TBL-5-3-4"
|
|
class="td11"><!--l. 261--><p class="noindent" >-1 </td><td style="white-space:normal; text-align:left;" id="TBL-5-3-5"
|
|
class="td11"><!--l. 262--><p class="noindent" >Coarse size threshold. The aggregation
|
|
stops if the global number of variables
|
|
of the computed coarsest matrix is lower
|
|
than or equal
|
|
to this threshold (see Note). If negative,
|
|
it is ignored in favour of the default for
|
|
<span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">MIN_COARSE_SIZE_PER_PROCESS</span><span
|
|
class="cmtt-10x-x-109">’</span>. </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-5-4-"><td style="white-space:normal; text-align:left;" id="TBL-5-4-1"
|
|
class="td11"><!--l. 271--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">MIN_CR_RATIO</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-5-4-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 271--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">real</span> </td><td style="white-space:normal; text-align:left;" id="TBL-5-4-3"
|
|
class="td11"><!--l. 272--><p class="noindent" >Any number
|
|
<!--l. 272--><p class="noindent" ><span
|
|
class="cmmi-10x-x-109">> </span>1 </td><td style="white-space:normal; text-align:left;" id="TBL-5-4-4"
|
|
class="td11"><!--l. 273--><p class="noindent" >1.5 </td><td style="white-space:normal; text-align:left;" id="TBL-5-4-5"
|
|
class="td11"><!--l. 274--><p class="noindent" >Minimum coarsening
|
|
ratio. The aggregation stops if the ratio
|
|
between the global matrix dimensions at
|
|
two consecutive levels is lower than or
|
|
equal to this threshold (see Note). </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-5-5-"><td style="white-space:normal; text-align:left;" id="TBL-5-5-1"
|
|
class="td11"><!--l. 279--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">MAX_LEVS</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-5-5-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 279--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">integer</span> </td><td style="white-space:normal; text-align:left;" id="TBL-5-5-3"
|
|
class="td11"><!--l. 280--><p class="noindent" >Any integer
|
|
<!--l. 280--><p class="noindent" >number <span
|
|
class="cmmi-10x-x-109">> </span>1 </td><td style="white-space:normal; text-align:left;" id="TBL-5-5-4"
|
|
class="td11"><!--l. 281--><p class="noindent" >20 </td><td style="white-space:normal; text-align:left;" id="TBL-5-5-5"
|
|
class="td11"><!--l. 282--><p class="noindent" >Maximum number of levels. The
|
|
aggregation stops if the number of levels
|
|
reaches this value (see Note). </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-5-6-"><td style="white-space:normal; text-align:left;" id="TBL-5-6-1"
|
|
class="td11"><!--l. 284--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">PAR_AGGR_ALG</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-5-6-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 284--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">character</span><span
|
|
class="cmtt-10x-x-109">(</span><span
|
|
class="cmtt-10x-x-109">len</span><span
|
|
class="cmtt-10x-x-109">=*)</span> </td><td style="white-space:normal; text-align:left;" id="TBL-5-6-3"
|
|
class="td11"><!--l. 285--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">’DEC’</span>,
|
|
<span
|
|
class="cmtt-10x-x-109">’SYMDEC’</span>,
|
|
<span
|
|
class="cmtt-10x-x-109">’COUPLED’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-5-6-4"
|
|
class="td11"><!--l. 286--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">’DEC’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-5-6-5"
|
|
class="td11"><!--l. 287--><p class="noindent" >Parallel aggregation algorithm.
|
|
<!--l. 287--><p class="noindent" >the <span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">SYMDEC</span> option applies decoupled
|
|
aggregation to the sparsity pattern of
|
|
<span
|
|
class="cmmi-10x-x-109">A </span>+ <span
|
|
class="cmmi-10x-x-109">A</span><sup><span
|
|
class="cmmi-8">T</span> </sup>. </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-5-7-"><td style="white-space:normal; text-align:left;" id="TBL-5-7-1"
|
|
class="td11"><!--l. 304--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">AGGR_TYPE</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-5-7-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 304--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">character</span><span
|
|
class="cmtt-10x-x-109">(</span><span
|
|
class="cmtt-10x-x-109">len</span><span
|
|
class="cmtt-10x-x-109">=*)</span> </td><td style="white-space:normal; text-align:left;" id="TBL-5-7-3"
|
|
class="td11"><!--l. 305--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">SOC1</span><span
|
|
class="cmtt-10x-x-109">’</span>,
|
|
<span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">SOC2</span><span
|
|
class="cmtt-10x-x-109">’</span>,
|
|
<span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">MATCHBOXP</span><span
|
|
class="cmtt-10x-x-109">’</span></td><td style="white-space:normal; text-align:left;" id="TBL-5-7-4"
|
|
class="td11"><!--l. 308--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">SOC1</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-5-7-5"
|
|
class="td11"><!--l. 309--><p class="noindent" >Type of aggregation algorithm: currently,
|
|
for the
|
|
decoupled aggregation we implement two
|
|
measures of strength of connection, the
|
|
one by Vaněk, Mandel and Brezina <span class="cite">[<a
|
|
href="userhtmlli5.html#XVANEK_MANDEL_BREZINA">33</a>]</span>,
|
|
and the one by Gratton et al <span class="cite">[<a
|
|
href="userhtmlli5.html#XGrHeJi:16">23</a>]</span>. The
|
|
coupled aggregation is based on a parallel
|
|
version of the half-approximate matching
|
|
implemented in the MatchBox-P software
|
|
package <span class="cite">[<a
|
|
href="userhtmlli5.html#XMatchBoxP">9</a>]</span>. </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-5-8-"><td style="white-space:normal; text-align:left;" id="TBL-5-8-1"
|
|
class="td11"><!--l. 317--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">AGGR_SIZE</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-5-8-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 317--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">integer</span> </td><td style="white-space:normal; text-align:left;" id="TBL-5-8-3"
|
|
class="td11"><!--l. 318--><p class="noindent" >Any integer
|
|
<!--l. 318--><p class="noindent" >power of 2,
|
|
with
|
|
<span
|
|
class="cmtt-10x-x-109">aggr</span><span
|
|
class="cmtt-10x-x-109">_size</span> <span
|
|
class="cmsy-10x-x-109">≥</span>
|
|
2 </td><td style="white-space:normal; text-align:left;" id="TBL-5-8-4"
|
|
class="td11"><!--l. 319--><p class="noindent" >4 </td><td style="white-space:normal; text-align:left;" id="TBL-5-8-5"
|
|
class="td11"><!--l. 320--><p class="noindent" >Maximum size of aggregates when the
|
|
coupled aggregation based on matching
|
|
is applied. For aggressive coarsening
|
|
with size of aggregate larger than 8
|
|
we recommend the use of smoothed
|
|
prolongators. Used only with <span
|
|
class="cmtt-10x-x-109">’COUPLED’</span>
|
|
and <span
|
|
class="cmtt-10x-x-109">’MATCHBOXP’</span> </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-5-9-"><td style="white-space:normal; text-align:left;" id="TBL-5-9-1"
|
|
class="td11"><!--l. 325--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">AGGR_PROL</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-5-9-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 325--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">character</span><span
|
|
class="cmtt-10x-x-109">(</span><span
|
|
class="cmtt-10x-x-109">len</span><span
|
|
class="cmtt-10x-x-109">=*)</span> </td><td style="white-space:normal; text-align:left;" id="TBL-5-9-3"
|
|
class="td11"><!--l. 326--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">SMOOTHED</span><span
|
|
class="cmtt-10x-x-109">’</span>,
|
|
<span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">UNSMOOTHED</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-5-9-4"
|
|
class="td11"><!--l. 326--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">SMOOTHED</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-5-9-5"
|
|
class="td11"><!--l. 327--><p class="noindent" >Prolongator used by the aggregation
|
|
algorithm: smoothed or unsmoothed (i.e.,
|
|
tentative prolongator). </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-5-10-"><td colspan="3" style="white-space:normal; text-align:left;" id="TBL-5-10-1"
|
|
class="td11"></td><div class="multicolumn" style="white-space:nowrap; text-align:left;"><span
|
|
class="cmbx-10x-x-109">Note. </span>The aggregation algorithm stops when at least one of the following criteria is met: the coarse size threshold, </div>
|
|
</tr><tr
|
|
style="vertical-align:baseline;" id="TBL-5-11-"><td colspan="3" style="white-space:normal; text-align:left;" id="TBL-5-11-1"
|
|
class="td11"></td><div class="multicolumn" style="white-space:nowrap; text-align:left;">the minimum coarsening ratio, or the maximum number of levels is reached.</div>
|
|
</tr><tr
|
|
style="vertical-align:baseline;" id="TBL-5-12-"><td colspan="3" style="white-space:normal; text-align:left;" id="TBL-5-12-1"
|
|
class="td11"></td><div class="multicolumn" style="white-space:nowrap; text-align:left;">Therefore, the actual number of levels may be smaller than the specified maximum number of levels. </div>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-5-13-"><td style="white-space:normal; text-align:left;" id="TBL-5-13-1"
|
|
class="td11"> </td></tr></table>
|
|
|
|
|
|
|
|
</div>
|
|
<br /> <div class="caption"
|
|
><span class="id">Table 3: </span><span
|
|
class="content">Parameters defining the aggregation algorithm. </span></div><!--tex4ht:label?: x19-18010r3 -->
|
|
</div>
|
|
|
|
|
|
|
|
</div><hr class="endfloat" />
|
|
</div>
|
|
<div class="table">
|
|
|
|
|
|
|
|
<!--l. 345--><p class="indent" > <a
|
|
id="x19-18011r4"></a><hr class="float"><div class="float"
|
|
>
|
|
|
|
|
|
|
|
<div class="center"
|
|
>
|
|
<!--l. 345--><p class="noindent" >
|
|
<div class="tabular"> <table id="TBL-6" class="tabular"
|
|
cellspacing="0" cellpadding="0"
|
|
><colgroup id="TBL-6-1g"><col
|
|
id="TBL-6-1"></colgroup><colgroup id="TBL-6-2g"><col
|
|
id="TBL-6-2"></colgroup><colgroup id="TBL-6-3g"><col
|
|
id="TBL-6-3"></colgroup><colgroup id="TBL-6-4g"><col
|
|
id="TBL-6-4"></colgroup><colgroup id="TBL-6-5g"><col
|
|
id="TBL-6-5"></colgroup><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-6-1-"><td style="white-space:normal; text-align:left;" id="TBL-6-1-1"
|
|
class="td11"><!--l. 349--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">what</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-6-1-2"
|
|
class="td11"><span
|
|
class="cmcsc-10x-x-109"><span
|
|
class="small-caps">d</span><span
|
|
class="small-caps">a</span><span
|
|
class="small-caps">t</span><span
|
|
class="small-caps">a</span> <span
|
|
class="small-caps">t</span><span
|
|
class="small-caps">y</span><span
|
|
class="small-caps">p</span><span
|
|
class="small-caps">e</span> </span></td><td style="white-space:normal; text-align:left;" id="TBL-6-1-3"
|
|
class="td11"><!--l. 349--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">val</span> </td><td style="white-space:normal; text-align:left;" id="TBL-6-1-4"
|
|
class="td11"><!--l. 349--><p class="noindent" ><span
|
|
class="cmcsc-10x-x-109"><span
|
|
class="small-caps">d</span><span
|
|
class="small-caps">e</span><span
|
|
class="small-caps">f</span><span
|
|
class="small-caps">a</span><span
|
|
class="small-caps">u</span><span
|
|
class="small-caps">l</span><span
|
|
class="small-caps">t</span></span> </td><td style="white-space:normal; text-align:left;" id="TBL-6-1-5"
|
|
class="td11"><!--l. 350--><p class="noindent" ><span
|
|
class="cmcsc-10x-x-109"><span
|
|
class="small-caps">c</span><span
|
|
class="small-caps">o</span><span
|
|
class="small-caps">m</span><span
|
|
class="small-caps">m</span><span
|
|
class="small-caps">e</span><span
|
|
class="small-caps">n</span><span
|
|
class="small-caps">t</span><span
|
|
class="small-caps">s</span></span> </td></tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-6-2-"><td style="white-space:normal; text-align:left;" id="TBL-6-2-1"
|
|
class="td11"><!--l. 352--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">AGGR_ORD</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-6-2-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 352--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">character</span><span
|
|
class="cmtt-10x-x-109">(</span><span
|
|
class="cmtt-10x-x-109">len</span><span
|
|
class="cmtt-10x-x-109">=*)</span> </td><td style="white-space:normal; text-align:left;" id="TBL-6-2-3"
|
|
class="td11"><!--l. 353--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">’NATURAL’</span>
|
|
<!--l. 353--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">’DEGREE’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-6-2-4"
|
|
class="td11"><!--l. 354--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">’NATURAL’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-6-2-5"
|
|
class="td11"><!--l. 355--><p class="noindent" >Initial ordering of indices for
|
|
the decoupled aggregation algorithm:
|
|
either natural ordering or sorted by
|
|
descending degrees of the nodes in the
|
|
matrix graph. </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-6-3-"><td style="white-space:normal; text-align:left;" id="TBL-6-3-1"
|
|
class="td11"><!--l. 362--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">AGGR_THRESH</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-6-3-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 362--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">real</span><span
|
|
class="cmtt-10x-x-109">(</span><span
|
|
class="cmtt-10x-x-109">kind_parameter</span><span
|
|
class="cmtt-10x-x-109">)</span> </td><td style="white-space:normal; text-align:left;" id="TBL-6-3-3"
|
|
class="td11"><!--l. 363--><p class="noindent" >Any real
|
|
<!--l. 363--><p class="noindent" >number <span
|
|
class="cmsy-10x-x-109">∈</span>
|
|
[0<span
|
|
class="cmmi-10x-x-109">,</span>1] </td><td style="white-space:normal; text-align:left;" id="TBL-6-3-4"
|
|
class="td11"><!--l. 364--><p class="noindent" >0.01 </td><td style="white-space:normal; text-align:left;" id="TBL-6-3-5"
|
|
class="td11"><!--l. 365--><p class="noindent" >The threshold <span
|
|
class="cmmi-10x-x-109">θ </span>in the strength of
|
|
connection algorithm. See also the note
|
|
at the bottom of this table. </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-6-4-"><td style="white-space:normal; text-align:left;" id="TBL-6-4-1"
|
|
class="td11"><!--l. 368--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">AGGR_FILTER</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-6-4-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 369--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">character</span><span
|
|
class="cmtt-10x-x-109">(</span><span
|
|
class="cmtt-10x-x-109">len</span><span
|
|
class="cmtt-10x-x-109">=*)</span> </td><td style="white-space:normal; text-align:left;" id="TBL-6-4-3"
|
|
class="td11"><!--l. 370--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">’FILTER’</span>
|
|
<!--l. 370--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">’NOFILTER’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-6-4-4"
|
|
class="td11"><!--l. 371--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">’NOFILTER’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-6-4-5"
|
|
class="td11"><!--l. 372--><p class="noindent" >Matrix used in computing the smoothed
|
|
prolongator: filtered or unfiltered. </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-6-5-"><td colspan="3" style="white-space:normal; text-align:left;" id="TBL-6-5-1"
|
|
class="td11"></td><div class="multicolumn" style="white-space:nowrap; text-align:left;"><span
|
|
class="cmbx-10x-x-109">Note. </span>Different thresholds at different levels, such as those used in <span class="cite">[<a
|
|
href="userhtmlli5.html#XVANEK_MANDEL_BREZINA">33</a>, Section 5.1]</span>, can be easily set by invoking the rou-</div>
|
|
</tr><tr
|
|
style="vertical-align:baseline;" id="TBL-6-6-"><td colspan="3" style="white-space:normal; text-align:left;" id="TBL-6-6-1"
|
|
class="td11"></td><div class="multicolumn" style="white-space:nowrap; text-align:left;">tine <span
|
|
class="cmtt-10x-x-109">set </span>with the parameter <span
|
|
class="cmtt-10x-x-109">ilev</span>.</div>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-6-7-"><td style="white-space:normal; text-align:left;" id="TBL-6-7-1"
|
|
class="td11"> </td></tr></table></div></div>
|
|
<br /> <div class="caption"
|
|
><span class="id">Table 4: </span><span
|
|
class="content">Parameters defining the aggregation algorithm (continued). </span></div><!--tex4ht:label?: x19-18011r4 -->
|
|
|
|
|
|
|
|
</div><hr class="endfloat" />
|
|
</div>
|
|
<div class="table">
|
|
|
|
|
|
|
|
<!--l. 389--><p class="indent" > <a
|
|
id="x19-18012r5"></a><hr class="float"><div class="float"
|
|
>
|
|
|
|
|
|
|
|
<div class="center"
|
|
>
|
|
<!--l. 389--><p class="noindent" >
|
|
|
|
|
|
|
|
<div class="tabular"> <table id="TBL-7" class="tabular"
|
|
cellspacing="0" cellpadding="0"
|
|
><colgroup id="TBL-7-1g"><col
|
|
id="TBL-7-1"></colgroup><colgroup id="TBL-7-2g"><col
|
|
id="TBL-7-2"></colgroup><colgroup id="TBL-7-3g"><col
|
|
id="TBL-7-3"></colgroup><colgroup id="TBL-7-4g"><col
|
|
id="TBL-7-4"></colgroup><colgroup id="TBL-7-5g"><col
|
|
id="TBL-7-5"></colgroup><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-7-1-"><td style="white-space:normal; text-align:left;" id="TBL-7-1-1"
|
|
class="td11"><!--l. 392--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">what</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-7-1-2"
|
|
class="td11"><span
|
|
class="cmcsc-10x-x-109"><span
|
|
class="small-caps">d</span><span
|
|
class="small-caps">a</span><span
|
|
class="small-caps">t</span><span
|
|
class="small-caps">a</span> <span
|
|
class="small-caps">t</span><span
|
|
class="small-caps">y</span><span
|
|
class="small-caps">p</span><span
|
|
class="small-caps">e</span> </span></td><td style="white-space:normal; text-align:left;" id="TBL-7-1-3"
|
|
class="td11"><!--l. 392--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">val</span> </td><td style="white-space:normal; text-align:left;" id="TBL-7-1-4"
|
|
class="td11"><!--l. 392--><p class="noindent" ><span
|
|
class="cmcsc-10x-x-109"><span
|
|
class="small-caps">d</span><span
|
|
class="small-caps">e</span><span
|
|
class="small-caps">f</span><span
|
|
class="small-caps">a</span><span
|
|
class="small-caps">u</span><span
|
|
class="small-caps">l</span><span
|
|
class="small-caps">t</span></span> </td><td style="white-space:normal; text-align:left;" id="TBL-7-1-5"
|
|
class="td11"><!--l. 393--><p class="noindent" ><span
|
|
class="cmcsc-10x-x-109"><span
|
|
class="small-caps">c</span><span
|
|
class="small-caps">o</span><span
|
|
class="small-caps">m</span><span
|
|
class="small-caps">m</span><span
|
|
class="small-caps">e</span><span
|
|
class="small-caps">n</span><span
|
|
class="small-caps">t</span><span
|
|
class="small-caps">s</span></span> </td></tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-7-2-"><td style="white-space:normal; text-align:left;" id="TBL-7-2-1"
|
|
class="td11"><!--l. 394--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">COARSE_MAT</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-7-2-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 394--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">character</span><span
|
|
class="cmtt-10x-x-109">(</span><span
|
|
class="cmtt-10x-x-109">len</span><span
|
|
class="cmtt-10x-x-109">=*)</span> </td><td style="white-space:normal; text-align:left;" id="TBL-7-2-3"
|
|
class="td11"><!--l. 395--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">DIST</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<!--l. 395--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">REPL</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-7-2-4"
|
|
class="td11"><!--l. 396--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">REPL</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-7-2-5"
|
|
class="td11"><!--l. 397--><p class="noindent" >Coarsest matrix layout: distributed among the
|
|
processes or replicated on each of them. </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-7-3-"><td style="white-space:normal; text-align:left;" id="TBL-7-3-1"
|
|
class="td11"><!--l. 399--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">COARSE_SOLVE</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-7-3-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 399--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">character</span><span
|
|
class="cmtt-10x-x-109">(</span><span
|
|
class="cmtt-10x-x-109">len</span><span
|
|
class="cmtt-10x-x-109">=*)</span> </td><td style="white-space:normal; text-align:left;" id="TBL-7-3-3"
|
|
class="td11"><!--l. 400--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">MUMPS</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<!--l. 400--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">UMF</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<!--l. 401--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">SLU</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<!--l. 401--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">SLUDIST</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<!--l. 402--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">JACOBI</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<!--l. 402--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">GS</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<!--l. 402--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">BJAC</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<!--l. 402--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">KRM</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">L1</span><span
|
|
class="cmtt-10x-x-109">-</span><span
|
|
class="cmtt-10x-x-109">JACOBI</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<!--l. 403--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">L1</span><span
|
|
class="cmtt-10x-x-109">-</span><span
|
|
class="cmtt-10x-x-109">BJAC</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<!--l. 403--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">L1</span><span
|
|
class="cmtt-10x-x-109">-</span><span
|
|
class="cmtt-10x-x-109">FBGS</span><span
|
|
class="cmtt-10x-x-109">’</span></td><td style="white-space:normal; text-align:left;" id="TBL-7-3-4"
|
|
class="td11"><!--l. 404--><p class="noindent" >See Note.</td><td style="white-space:normal; text-align:left;" id="TBL-7-3-5"
|
|
class="td11"><!--l. 405--><p class="noindent" >Solver used at the coarsest level: sequential
|
|
LU from MUMPS, UMFPACK, or SuperLU
|
|
(plus triangular solve); distributed LU from
|
|
MUMPS or SuperLU_Dist (plus triangular solve);
|
|
point-Jacobi, hybrid Gauss-Seidel or block-Jacobi
|
|
and related <span
|
|
class="cmmi-10x-x-109">ℓ</span><sub><span
|
|
class="cmr-8">1</span></sub>-versions; Krylov Method (flexible
|
|
Conjugate Gradient) coupled with the block-Jacobi
|
|
preconditioner with ILU(0) on the blocks. Note
|
|
that <span
|
|
class="cmtt-10x-x-109">UMF </span>and <span
|
|
class="cmtt-10x-x-109">SLU </span>require the coarsest matrix to
|
|
be replicated, <span
|
|
class="cmtt-10x-x-109">SLUDIST</span>, <span
|
|
class="cmtt-10x-x-109">JACOBI</span>, <span
|
|
class="cmtt-10x-x-109">GS</span>, <span
|
|
class="cmtt-10x-x-109">BJAC </span>and <span
|
|
class="cmtt-10x-x-109">KRM</span>
|
|
require it to be distributed, <span
|
|
class="cmtt-10x-x-109">MUMPS </span>can be used with
|
|
either a replicated or a distributed matrix. When
|
|
any of the previous solvers is specified, the matrix
|
|
layout is set to a default value which allows the use
|
|
of the solver (see Remark 3, p. 24). Note also that
|
|
UMFPACK and SuperLU_Dist are available only in
|
|
double precision. </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-7-4-"><td style="white-space:normal; text-align:left;" id="TBL-7-4-1"
|
|
class="td11"><!--l. 435--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">COARSE_SUBSOLVE</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-7-4-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 435--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">character</span><span
|
|
class="cmtt-10x-x-109">(</span><span
|
|
class="cmtt-10x-x-109">len</span><span
|
|
class="cmtt-10x-x-109">=*)</span> </td><td style="white-space:normal; text-align:left;" id="TBL-7-4-3"
|
|
class="td11"><!--l. 436--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">ILU</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<!--l. 436--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">ILUT</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<!--l. 436--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">MILU</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<!--l. 437--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">MUMPS</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<!--l. 437--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">SLU</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<!--l. 437--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">UMF</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<!--l. 438--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">INVT</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<!--l. 438--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">INVK</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<!--l. 438--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">AINV</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-7-4-4"
|
|
class="td11"><!--l. 439--><p class="noindent" >See Note.</td><td style="white-space:normal; text-align:left;" id="TBL-7-4-5"
|
|
class="td11"><!--l. 440--><p class="noindent" >Solver for the diagonal blocks of the coarsest
|
|
matrix, in case the block Jacobi solver is chosen
|
|
as coarsest-level solver: ILU(<span
|
|
class="cmmi-10x-x-109">p</span>), ILU(<span
|
|
class="cmmi-10x-x-109">p,t</span>), MILU(<span
|
|
class="cmmi-10x-x-109">p</span>),
|
|
LU from MUMPS, SuperLU or UMFPACK
|
|
(plus triangular solve), Approximate Inverses
|
|
INVK(<span
|
|
class="cmmi-10x-x-109">p,q</span>), INVT(<span
|
|
class="cmmi-10x-x-109">p</span><sub><span
|
|
class="cmr-8">1</span></sub><span
|
|
class="cmmi-10x-x-109">,p</span>2<span
|
|
class="cmmi-10x-x-109">,t</span><sub><span
|
|
class="cmr-8">1</span></sub><span
|
|
class="cmmi-10x-x-109">,t</span><sub><span
|
|
class="cmr-8">2</span></sub>) and AINV(<span
|
|
class="cmmi-10x-x-109">t</span>); note
|
|
that approximate inverses are specifically suited
|
|
for GPUs since they do not employ triangular
|
|
system solve kernels, see <span class="cite">[<a
|
|
href="userhtmlli5.html#XBERTACCINIFILIPPONE">3</a>]</span>. Note that UMFPACK
|
|
and SuperLU_Dist are available only in double
|
|
precision. </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-7-5-"><td colspan="3" style="white-space:normal; text-align:left;" id="TBL-7-5-1"
|
|
class="td11"></td><div class="multicolumn" style="white-space:nowrap; text-align:left;"><span
|
|
class="cmbx-10x-x-109">Note. </span>Defaults for <span
|
|
class="cmtt-10x-x-109">COARSE</span><span
|
|
class="cmtt-10x-x-109">_SOLVE </span>and <span
|
|
class="cmtt-10x-x-109">COARSE</span><span
|
|
class="cmtt-10x-x-109">_SUBSOLVE </span>are chosen in the following order:</div>
|
|
</tr><tr
|
|
style="vertical-align:baseline;" id="TBL-7-6-"><td colspan="3" style="white-space:normal; text-align:left;" id="TBL-7-6-1"
|
|
class="td11"></td><div class="multicolumn" style="white-space:nowrap; text-align:left;">single precision version – <span
|
|
class="cmtt-10x-x-109">MUMPS </span>if installed, then <span
|
|
class="cmtt-10x-x-109">SLU </span>if installed, <span
|
|
class="cmtt-10x-x-109">ILU </span>otherwise;</div>
|
|
</tr><tr
|
|
style="vertical-align:baseline;" id="TBL-7-7-"><td colspan="3" style="white-space:normal; text-align:left;" id="TBL-7-7-1"
|
|
class="td11"></td><div class="multicolumn" style="white-space:nowrap; text-align:left;">double precision version – <span
|
|
class="cmtt-10x-x-109">UMF </span>if installed, then <span
|
|
class="cmtt-10x-x-109">MUMPS </span>if installed, then <span
|
|
class="cmtt-10x-x-109">SLU </span>if installed, <span
|
|
class="cmtt-10x-x-109">ILU </span>otherwise.</div>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-7-8-"><td style="white-space:normal; text-align:left;" id="TBL-7-8-1"
|
|
class="td11"><!--l. 471--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">what</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-7-8-2"
|
|
class="td11"><span
|
|
class="cmcsc-10x-x-109"><span
|
|
class="small-caps">d</span><span
|
|
class="small-caps">a</span><span
|
|
class="small-caps">t</span><span
|
|
class="small-caps">a</span> <span
|
|
class="small-caps">t</span><span
|
|
class="small-caps">y</span><span
|
|
class="small-caps">p</span><span
|
|
class="small-caps">e</span> </span></td><td style="white-space:normal; text-align:left;" id="TBL-7-8-3"
|
|
class="td11"><!--l. 471--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">val</span> </td><td style="white-space:normal; text-align:left;" id="TBL-7-8-4"
|
|
class="td11"><!--l. 471--><p class="noindent" ><span
|
|
class="cmcsc-10x-x-109"><span
|
|
class="small-caps">d</span><span
|
|
class="small-caps">e</span><span
|
|
class="small-caps">f</span><span
|
|
class="small-caps">a</span><span
|
|
class="small-caps">u</span><span
|
|
class="small-caps">l</span><span
|
|
class="small-caps">t</span></span> </td><td style="white-space:normal; text-align:left;" id="TBL-7-8-5"
|
|
class="td11"><!--l. 472--><p class="noindent" ><span
|
|
class="cmcsc-10x-x-109"><span
|
|
class="small-caps">c</span><span
|
|
class="small-caps">o</span><span
|
|
class="small-caps">m</span><span
|
|
class="small-caps">m</span><span
|
|
class="small-caps">e</span><span
|
|
class="small-caps">n</span><span
|
|
class="small-caps">t</span><span
|
|
class="small-caps">s</span></span> </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-7-9-"><td style="white-space:normal; text-align:left;" id="TBL-7-9-1"
|
|
class="td11"><!--l. 473--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">COARSE_SWEEPS</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-7-9-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 473--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">integer</span> </td><td style="white-space:normal; text-align:left;" id="TBL-7-9-3"
|
|
class="td11"><!--l. 474--><p class="noindent" >Any
|
|
integer
|
|
<!--l. 474--><p class="noindent" >number <span
|
|
class="cmmi-10x-x-109">></span>
|
|
0 </td><td style="white-space:normal; text-align:left;" id="TBL-7-9-4"
|
|
class="td11"><!--l. 475--><p class="noindent" >10 </td><td style="white-space:normal; text-align:left;" id="TBL-7-9-5"
|
|
class="td11"><!--l. 476--><p class="noindent" >Number of sweeps when <span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">JACOBI</span>, <span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">GS</span> or <span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">BJAC</span> is
|
|
chosen as coarsest-level solver. </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-7-10-"><td style="white-space:normal; text-align:left;" id="TBL-7-10-1"
|
|
class="td11"><!--l. 478--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">COARSE_FILLIN</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-7-10-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 478--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">integer</span> </td><td style="white-space:normal; text-align:left;" id="TBL-7-10-3"
|
|
class="td11"><!--l. 479--><p class="noindent" >Any
|
|
integer
|
|
<!--l. 479--><p class="noindent" >number <span
|
|
class="cmsy-10x-x-109">≥</span>
|
|
0 </td><td style="white-space:normal; text-align:left;" id="TBL-7-10-4"
|
|
class="td11"><!--l. 480--><p class="noindent" >0 </td><td style="white-space:normal; text-align:left;" id="TBL-7-10-5"
|
|
class="td11"><!--l. 481--><p class="noindent" >Fill-in level <span
|
|
class="cmmi-10x-x-109">p </span>of the ILU factorizations and first
|
|
fill-in for the approximate inverses. </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-7-11-"><td style="white-space:normal; text-align:left;" id="TBL-7-11-1"
|
|
class="td11"><!--l. 483--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">COARSE_ILUTHRS</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-7-11-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 484--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">real</span><span
|
|
class="cmtt-10x-x-109">(</span><span
|
|
class="cmtt-10x-x-109">kind_parameter</span><span
|
|
class="cmtt-10x-x-109">)</span> </td><td style="white-space:normal; text-align:left;" id="TBL-7-11-3"
|
|
class="td11"><!--l. 485--><p class="noindent" >Any real
|
|
<!--l. 485--><p class="noindent" >number <span
|
|
class="cmsy-10x-x-109">≥</span>
|
|
0 </td><td style="white-space:normal; text-align:left;" id="TBL-7-11-4"
|
|
class="td11"><!--l. 486--><p class="noindent" >0 </td><td style="white-space:normal; text-align:left;" id="TBL-7-11-5"
|
|
class="td11"><!--l. 487--><p class="noindent" >Drop tolerance <span
|
|
class="cmmi-10x-x-109">t </span>in the ILU(<span
|
|
class="cmmi-10x-x-109">p,t</span>) factorization and
|
|
first drop-tolerance for the approximate inverses. </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-7-12-"><td colspan="3" style="white-space:normal; text-align:left;" id="TBL-7-12-1"
|
|
class="td11"></td><div class="multicolumn" style="white-space:nowrap; text-align:left;"><span
|
|
class="cmbx-10x-x-109">Note. </span>Further options for coarse solvers are contained in Table <a
|
|
href="#x19-18013r6">6<!--tex4ht:ref: tab:p_coarse_2 --></a>.</div>
|
|
</tr><tr
|
|
style="vertical-align:baseline;" id="TBL-7-13-"><td colspan="3" style="white-space:normal; text-align:left;" id="TBL-7-13-1"
|
|
class="td11"></td><div class="multicolumn" style="white-space:nowrap; text-align:left;">For a first use it is suggested to use the default options obtained by simply selecting the solver type.</div>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-7-14-"><td style="white-space:normal; text-align:left;" id="TBL-7-14-1"
|
|
class="td11"> </td></tr></table>
|
|
|
|
|
|
|
|
</div></div>
|
|
<br /> <div class="caption"
|
|
><span class="id">Table 5: </span><span
|
|
class="content">Parameters defining the solver at the coarsest level (continued).</span></div><!--tex4ht:label?: x19-18012r5 -->
|
|
|
|
|
|
|
|
</div><hr class="endfloat" />
|
|
</div>
|
|
<div class="table">
|
|
|
|
|
|
|
|
<!--l. 500--><p class="indent" > <a
|
|
id="x19-18013r6"></a><hr class="float"><div class="float"
|
|
>
|
|
|
|
|
|
|
|
<div class="center"
|
|
>
|
|
<!--l. 500--><p class="noindent" >
|
|
|
|
|
|
|
|
<div class="tabular"> <table id="TBL-8" class="tabular"
|
|
cellspacing="0" cellpadding="0"
|
|
><colgroup id="TBL-8-1g"><col
|
|
id="TBL-8-1"></colgroup><colgroup id="TBL-8-2g"><col
|
|
id="TBL-8-2"></colgroup><colgroup id="TBL-8-3g"><col
|
|
id="TBL-8-3"></colgroup><colgroup id="TBL-8-4g"><col
|
|
id="TBL-8-4"></colgroup><colgroup id="TBL-8-5g"><col
|
|
id="TBL-8-5"></colgroup><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-8-1-"><td style="white-space:normal; text-align:left;" id="TBL-8-1-1"
|
|
class="td11"><!--l. 503--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">what</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-8-1-2"
|
|
class="td11"><span
|
|
class="cmcsc-10x-x-109"><span
|
|
class="small-caps">d</span><span
|
|
class="small-caps">a</span><span
|
|
class="small-caps">t</span><span
|
|
class="small-caps">a</span> <span
|
|
class="small-caps">t</span><span
|
|
class="small-caps">y</span><span
|
|
class="small-caps">p</span><span
|
|
class="small-caps">e</span> </span></td><td style="white-space:normal; text-align:left;" id="TBL-8-1-3"
|
|
class="td11"><!--l. 503--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">val</span> </td><td style="white-space:normal; text-align:left;" id="TBL-8-1-4"
|
|
class="td11"><!--l. 503--><p class="noindent" ><span
|
|
class="cmcsc-10x-x-109"><span
|
|
class="small-caps">d</span><span
|
|
class="small-caps">e</span><span
|
|
class="small-caps">f</span><span
|
|
class="small-caps">a</span><span
|
|
class="small-caps">u</span><span
|
|
class="small-caps">l</span><span
|
|
class="small-caps">t</span></span> </td><td style="white-space:normal; text-align:left;" id="TBL-8-1-5"
|
|
class="td11"><!--l. 504--><p class="noindent" ><span
|
|
class="cmcsc-10x-x-109"><span
|
|
class="small-caps">c</span><span
|
|
class="small-caps">o</span><span
|
|
class="small-caps">m</span><span
|
|
class="small-caps">m</span><span
|
|
class="small-caps">e</span><span
|
|
class="small-caps">n</span><span
|
|
class="small-caps">t</span><span
|
|
class="small-caps">s</span></span> </td></tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-8-2-"><td style="white-space:normal; text-align:left;" id="TBL-8-2-1"
|
|
class="td11"><!--l. 505--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">BJAC_STOP</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-8-2-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 505--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">character</span><span
|
|
class="cmtt-10x-x-109">(</span><span
|
|
class="cmtt-10x-x-109">len</span><span
|
|
class="cmtt-10x-x-109">=*)</span> </td><td style="white-space:normal; text-align:left;" id="TBL-8-2-3"
|
|
class="td11"><!--l. 505--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">FALSE</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<!--l. 505--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">TRUE</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-8-2-4"
|
|
class="td11"><!--l. 505--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">FALSE</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-8-2-5"
|
|
class="td11"><!--l. 505--><p class="noindent" >Select whether to use a stopping criterion for
|
|
the Block-Jacobi method used as a coarse
|
|
solver. </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-8-3-"><td style="white-space:normal; text-align:left;" id="TBL-8-3-1"
|
|
class="td11"><!--l. 506--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">BJAC_TRACE</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-8-3-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 506--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">character</span><span
|
|
class="cmtt-10x-x-109">(</span><span
|
|
class="cmtt-10x-x-109">len</span><span
|
|
class="cmtt-10x-x-109">=*)</span> </td><td style="white-space:normal; text-align:left;" id="TBL-8-3-3"
|
|
class="td11"><!--l. 506--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">FALSE</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<!--l. 506--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">TRUE</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-8-3-4"
|
|
class="td11"><!--l. 506--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">FALSE</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-8-3-5"
|
|
class="td11"><!--l. 506--><p class="noindent" >Select whether to print a trace for the
|
|
calculated residual for the Block-Jacobi
|
|
method used as a coarse solver. </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-8-4-"><td style="white-space:normal; text-align:left;" id="TBL-8-4-1"
|
|
class="td11"><!--l. 507--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">BJAC_ITRACE</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-8-4-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 507--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">integer</span> </td><td style="white-space:normal; text-align:left;" id="TBL-8-4-3"
|
|
class="td11"><!--l. 507--><p class="noindent" >Any integer
|
|
<!--l. 507--><p class="noindent" ><span
|
|
class="cmmi-10x-x-109">> </span>0 </td><td style="white-space:normal; text-align:left;" id="TBL-8-4-4"
|
|
class="td11"><!--l. 507--><p class="noindent" >-1 </td><td style="white-space:normal; text-align:left;" id="TBL-8-4-5"
|
|
class="td11"><!--l. 507--><p class="noindent" >Number of iterations after which a trace is to
|
|
be printed. </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-8-5-"><td style="white-space:normal; text-align:left;" id="TBL-8-5-1"
|
|
class="td11"><!--l. 508--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">BJAC_RESCHECK</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-8-5-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 508--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">integer</span> </td><td style="white-space:normal; text-align:left;" id="TBL-8-5-3"
|
|
class="td11"><!--l. 508--><p class="noindent" >Any integer
|
|
<!--l. 508--><p class="noindent" ><span
|
|
class="cmmi-10x-x-109">> </span>0 </td><td style="white-space:normal; text-align:left;" id="TBL-8-5-4"
|
|
class="td11"><!--l. 508--><p class="noindent" >-1 </td><td style="white-space:normal; text-align:left;" id="TBL-8-5-5"
|
|
class="td11"><!--l. 508--><p class="noindent" >Number of iterations after which a residual is
|
|
to be calculated. </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-8-6-"><td style="white-space:normal; text-align:left;" id="TBL-8-6-1"
|
|
class="td11"><!--l. 509--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">BJAC_STOPTOL</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-8-6-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 509--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">real</span><span
|
|
class="cmtt-10x-x-109">(</span><span
|
|
class="cmtt-10x-x-109">kind_parameter</span><span
|
|
class="cmtt-10x-x-109">)</span> </td><td style="white-space:normal; text-align:left;" id="TBL-8-6-3"
|
|
class="td11"><!--l. 509--><p class="noindent" >Any real
|
|
<!--l. 509--><p class="noindent" ><span
|
|
class="cmmi-10x-x-109">< </span>1 </td><td style="white-space:normal; text-align:left;" id="TBL-8-6-4"
|
|
class="td11"><!--l. 509--><p class="noindent" >0 </td><td style="white-space:normal; text-align:left;" id="TBL-8-6-5"
|
|
class="td11"><!--l. 509--><p class="noindent" >Tolerance for the stopping criterion on the
|
|
residual. </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-8-7-"><td style="white-space:normal; text-align:left;" id="TBL-8-7-1"
|
|
class="td11"><!--l. 510--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">KRM_METHOD</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-8-7-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 510--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">character</span><span
|
|
class="cmtt-10x-x-109">(</span><span
|
|
class="cmtt-10x-x-109">len</span><span
|
|
class="cmtt-10x-x-109">=*)</span> </td><td style="white-space:normal; text-align:left;" id="TBL-8-7-3"
|
|
class="td11"><!--l. 510--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">CG</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<!--l. 510--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">FCG</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<!--l. 510--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">CGS</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<!--l. 510--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">CGR</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<!--l. 510--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">BICG</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<!--l. 510--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">BICGSTAB</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<!--l. 510--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">BICGSTABL</span><span
|
|
class="cmtt-10x-x-109">’</span>
|
|
<!--l. 510--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">RGMRES</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-8-7-4"
|
|
class="td11"><!--l. 510--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">FCG</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-8-7-5"
|
|
class="td11"><!--l. 510--><p class="noindent" >A string that defines the iterative method to
|
|
be used when employing a Krylov method
|
|
<span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">KRM</span><span
|
|
class="cmtt-10x-x-109">’</span> as a coarse solver. <span
|
|
class="cmtt-10x-x-109">CG </span>the Conjugate
|
|
Gradient method; <span
|
|
class="cmtt-10x-x-109">FCG </span>the Flexible Conjugate
|
|
Gradient method; <span
|
|
class="cmtt-10x-x-109">CGS </span>the Conjugate Gradient
|
|
Stabilized
|
|
method; <span
|
|
class="cmtt-10x-x-109">GCR </span>the Generalized Conjugate
|
|
Residual method; <span
|
|
class="cmtt-10x-x-109">FCG </span>the Flexible Conjugate
|
|
Gradient method; <span
|
|
class="cmtt-10x-x-109">BICG </span>the Bi-Conjugate
|
|
Gradient method; <span
|
|
class="cmtt-10x-x-109">BICGSTAB </span>the Bi-Conjugate
|
|
Gradient Stabilized method; <span
|
|
class="cmtt-10x-x-109">BICGSTABL </span>the
|
|
Bi-Conjugate Gradient Stabilized method
|
|
with restarting; <span
|
|
class="cmtt-10x-x-109">RGMRES </span>the Generalized
|
|
Minimal Residual method with restarting.
|
|
Refer to the PSBLAS guide <span class="cite">[<a
|
|
href="userhtmlli5.html#XPSBLASGUIDE">20</a>]</span> for further
|
|
information. </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-8-8-"><td style="white-space:normal; text-align:left;" id="TBL-8-8-1"
|
|
class="td11"><!--l. 520--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">KRM_KPREC</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-8-8-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 520--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">character</span><span
|
|
class="cmtt-10x-x-109">(</span><span
|
|
class="cmtt-10x-x-109">len</span><span
|
|
class="cmtt-10x-x-109">=*)</span> </td><td style="white-space:normal; text-align:left;" id="TBL-8-8-3"
|
|
class="td11"><!--l. 520--><p class="noindent" >Table <a
|
|
href="userhtmlse4.html#x14-13015r1">1<!--tex4ht:ref: tab:precinit --></a> </td><td style="white-space:normal; text-align:left;" id="TBL-8-8-4"
|
|
class="td11"><!--l. 520--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">BJAC</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-8-8-5"
|
|
class="td11"><!--l. 520--><p class="noindent" >The one-level
|
|
preconditioners from the Table <a
|
|
href="userhtmlse4.html#x14-13015r1">1<!--tex4ht:ref: tab:precinit --></a> can be used
|
|
for the coarse Krylov solver. </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-8-9-"><td style="white-space:normal; text-align:left;" id="TBL-8-9-1"
|
|
class="td11"><!--l. 532--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">KRM_SUB_SOLVE</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-8-9-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 532--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">character</span><span
|
|
class="cmtt-10x-x-109">(</span><span
|
|
class="cmtt-10x-x-109">len</span><span
|
|
class="cmtt-10x-x-109">=*)</span> </td><td style="white-space:normal; text-align:left;" id="TBL-8-9-3"
|
|
class="td11"><!--l. 532--><p class="noindent" >Table <a
|
|
href="#x19-18012r5">5<!--tex4ht:ref: tab:p_coarse_1 --></a> </td><td style="white-space:normal; text-align:left;" id="TBL-8-9-4"
|
|
class="td11"><!--l. 532--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">ILU</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-8-9-5"
|
|
class="td11"><!--l. 532--><p class="noindent" >Solver for the diagonal blocks of the coarsest
|
|
matrix preconditioner, in case the block Jacobi
|
|
solver is chosen
|
|
as <span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">KRM_KPREC</span><span
|
|
class="cmtt-10x-x-109">’</span>: ILU(<span
|
|
class="cmmi-10x-x-109">p</span>), ILU(<span
|
|
class="cmmi-10x-x-109">p,t</span>), MILU(<span
|
|
class="cmmi-10x-x-109">p</span>),
|
|
LU from MUMPS, SuperLU or UMFPACK
|
|
(plus triangular solve), Approximate Inverses
|
|
INVK(<span
|
|
class="cmmi-10x-x-109">p,q</span>), INVT(<span
|
|
class="cmmi-10x-x-109">p</span><sub><span
|
|
class="cmr-8">1</span></sub><span
|
|
class="cmmi-10x-x-109">,p</span>2<span
|
|
class="cmmi-10x-x-109">,t</span><sub><span
|
|
class="cmr-8">1</span></sub><span
|
|
class="cmmi-10x-x-109">,t</span><sub><span
|
|
class="cmr-8">2</span></sub>) and AINV(<span
|
|
class="cmmi-10x-x-109">t</span>);
|
|
The same caveat from Table <a
|
|
href="#x19-18012r5">5<!--tex4ht:ref: tab:p_coarse_1 --></a> applies here. </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-8-10-"><td style="white-space:normal; text-align:left;" id="TBL-8-10-1"
|
|
class="td11"><!--l. 539--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">KRM_GLOBAL</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-8-10-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 539--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">character</span><span
|
|
class="cmtt-10x-x-109">(</span><span
|
|
class="cmtt-10x-x-109">len</span><span
|
|
class="cmtt-10x-x-109">=*)</span> </td><td style="white-space:normal; text-align:left;" id="TBL-8-10-3"
|
|
class="td11"><!--l. 539--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">TRUE</span><span
|
|
class="cmtt-10x-x-109">’</span>,
|
|
<span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">FALSE</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-8-10-4"
|
|
class="td11"><!--l. 539--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">FALSE</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-8-10-5"
|
|
class="td11"><!--l. 539--><p class="noindent" >Choose between a global Krylov solver, all
|
|
unknowns on a single node, or a distributed
|
|
one. The default choice is the distributed
|
|
solver. </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-8-11-"><td style="white-space:normal; text-align:left;" id="TBL-8-11-1"
|
|
class="td11"><!--l. 540--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">KRM_EPS</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-8-11-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 540--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">real</span><span
|
|
class="cmtt-10x-x-109">(</span><span
|
|
class="cmtt-10x-x-109">kind_parameter</span><span
|
|
class="cmtt-10x-x-109">)</span> </td><td style="white-space:normal; text-align:left;" id="TBL-8-11-3"
|
|
class="td11"><!--l. 540--><p class="noindent" >Real <span
|
|
class="cmmi-10x-x-109">< </span>1 </td><td style="white-space:normal; text-align:left;" id="TBL-8-11-4"
|
|
class="td11"><!--l. 540--><p class="noindent" >10<sup><span
|
|
class="cmsy-8">-</span><span
|
|
class="cmr-8">6</span> </sup> </td><td style="white-space:normal; text-align:left;" id="TBL-8-11-5"
|
|
class="td11"><!--l. 540--><p class="noindent" >The stopping tolerance. </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-8-12-"><td style="white-space:normal; text-align:left;" id="TBL-8-12-1"
|
|
class="td11"><!--l. 541--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">KRM_IRST</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-8-12-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 541--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">integer</span> </td><td style="white-space:normal; text-align:left;" id="TBL-8-12-3"
|
|
class="td11"><!--l. 541--><p class="noindent" >Integer
|
|
<!--l. 541--><p class="noindent" ><span
|
|
class="cmsy-10x-x-109">≥ </span>1 </td><td style="white-space:normal; text-align:left;" id="TBL-8-12-4"
|
|
class="td11"><!--l. 541--><p class="noindent" >30 </td><td style="white-space:normal; text-align:left;" id="TBL-8-12-5"
|
|
class="td11"><!--l. 541--><p class="noindent" >An integer specifying the restart parameter.
|
|
This is employed for the <span
|
|
class="cmtt-10x-x-109">BiCGSTABL </span>or <span
|
|
class="cmtt-10x-x-109">RGMRES</span>
|
|
methods, otherwise it is ignored. </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-8-13-"><td style="white-space:normal; text-align:left;" id="TBL-8-13-1"
|
|
class="td11"><!--l. 542--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">KRM_ISTOPC</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-8-13-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 542--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">integer</span> </td><td style="white-space:normal; text-align:left;" id="TBL-8-13-3"
|
|
class="td11"><!--l. 542--><p class="noindent" >Integers
|
|
1,2,3 </td><td style="white-space:normal; text-align:left;" id="TBL-8-13-4"
|
|
class="td11"><!--l. 542--><p class="noindent" >2 </td><td style="white-space:normal; text-align:left;" id="TBL-8-13-5"
|
|
class="td11"><!--l. 542--><p class="noindent" >If <span
|
|
class="cmtt-10x-x-109">1 </span>then the method uses the normwise
|
|
backward error in the infinity norm; if <span
|
|
class="cmtt-10x-x-109">2</span>, the
|
|
it uses the relative residual in the 2-norm; if <span
|
|
class="cmtt-10x-x-109">3</span>
|
|
the relative residual reduction in the 2-norm is
|
|
used instead; refer to the PSBLAS <span class="cite">[<a
|
|
href="userhtmlli5.html#XPSBLASGUIDE">20</a>]</span> guide
|
|
for the details. </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-8-14-"><td style="white-space:normal; text-align:left;" id="TBL-8-14-1"
|
|
class="td11"><!--l. 544--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">KRM_ITMAX</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-8-14-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 544--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">integer</span> </td><td style="white-space:normal; text-align:left;" id="TBL-8-14-3"
|
|
class="td11"><!--l. 544--><p class="noindent" >Integer
|
|
<!--l. 544--><p class="noindent" ><span
|
|
class="cmsy-10x-x-109">≥ </span>1 </td><td style="white-space:normal; text-align:left;" id="TBL-8-14-4"
|
|
class="td11"><!--l. 544--><p class="noindent" >40 </td><td style="white-space:normal; text-align:left;" id="TBL-8-14-5"
|
|
class="td11"><!--l. 544--><p class="noindent" >The maximum number of iterations to
|
|
perform. </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-8-15-"><td style="white-space:normal; text-align:left;" id="TBL-8-15-1"
|
|
class="td11"><!--l. 545--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">KRM_ITRACE</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-8-15-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 545--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">integer</span> </td><td style="white-space:normal; text-align:left;" id="TBL-8-15-3"
|
|
class="td11"><!--l. 545--><p class="noindent" >Integer
|
|
<!--l. 545--><p class="noindent" ><span
|
|
class="cmsy-10x-x-109">≥ </span>0 </td><td style="white-space:normal; text-align:left;" id="TBL-8-15-4"
|
|
class="td11"><!--l. 545--><p class="noindent" >-1 </td><td style="white-space:normal; text-align:left;" id="TBL-8-15-5"
|
|
class="td11"><!--l. 545--><p class="noindent" >If <span
|
|
class="cmmi-10x-x-109">> </span>0 print out
|
|
an informational message about convergence
|
|
every <span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">KRM_ITRACE</span><span
|
|
class="cmtt-10x-x-109">’</span> iterations. If = 0 print a
|
|
message in case of convergence failure. </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-8-16-"><td style="white-space:normal; text-align:left;" id="TBL-8-16-1"
|
|
class="td11"><!--l. 549--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10x-x-109">’</span><span
|
|
class="cmtt-10x-x-109">KRM_FILLIN</span><span
|
|
class="cmtt-10x-x-109">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-8-16-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 549--><p class="noindent" ><span
|
|
class="cmtt-10x-x-109">integer</span> </td><td style="white-space:normal; text-align:left;" id="TBL-8-16-3"
|
|
class="td11"><!--l. 549--><p class="noindent" >Integer
|
|
<!--l. 549--><p class="noindent" ><span
|
|
class="cmsy-10x-x-109">≥ </span>0 </td><td style="white-space:normal; text-align:left;" id="TBL-8-16-4"
|
|
class="td11"><!--l. 550--><p class="noindent" >0 </td><td style="white-space:normal; text-align:left;" id="TBL-8-16-5"
|
|
class="td11"><!--l. 551--><p class="noindent" >Fill-in level <span
|
|
class="cmmi-10x-x-109">p </span>of the ILU factorizations and
|
|
first fill-in for the approximate inverses. </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-8-17-"><td style="white-space:normal; text-align:left;" id="TBL-8-17-1"
|
|
class="td11"> </td></tr></table>
|
|
|
|
|
|
</div></div>
|
|
<br /> <div class="caption"
|
|
><span class="id">Table 6: </span><span
|
|
class="content">Additional parameters defining the solver at the coarsest level.</span></div><!--tex4ht:label?: x19-18013r6 -->
|
|
|
|
|
|
|
|
</div><hr class="endfloat" />
|
|
</div>
|
|
<div class="table">
|
|
|
|
|
|
|
|
<!--l. 560--><p class="indent" > <a
|
|
id="x19-18014r7"></a><hr class="float"><div class="float"
|
|
>
|
|
|
|
|
|
|
|
<div class="center"
|
|
>
|
|
<!--l. 560--><p class="noindent" >
|
|
<div class="tabular"> <table id="TBL-9" class="tabular"
|
|
cellspacing="0" cellpadding="0"
|
|
><colgroup id="TBL-9-1g"><col
|
|
id="TBL-9-1"></colgroup><colgroup id="TBL-9-2g"><col
|
|
id="TBL-9-2"></colgroup><colgroup id="TBL-9-3g"><col
|
|
id="TBL-9-3"></colgroup><colgroup id="TBL-9-4g"><col
|
|
id="TBL-9-4"></colgroup><colgroup id="TBL-9-5g"><col
|
|
id="TBL-9-5"></colgroup><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-9-1-"><td style="white-space:normal; text-align:left;" id="TBL-9-1-1"
|
|
class="td11"><!--l. 564--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">what</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-9-1-2"
|
|
class="td11"><span
|
|
class="cmcsc-10"><span
|
|
class="small-caps">d</span><span
|
|
class="small-caps">a</span><span
|
|
class="small-caps">t</span><span
|
|
class="small-caps">a</span> <span
|
|
class="small-caps">t</span><span
|
|
class="small-caps">y</span><span
|
|
class="small-caps">p</span><span
|
|
class="small-caps">e</span> </span></td><td style="white-space:normal; text-align:left;" id="TBL-9-1-3"
|
|
class="td11"><!--l. 564--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">val</span> </td><td style="white-space:normal; text-align:left;" id="TBL-9-1-4"
|
|
class="td11"><!--l. 564--><p class="noindent" ><span
|
|
class="cmcsc-10"><span
|
|
class="small-caps">d</span><span
|
|
class="small-caps">e</span><span
|
|
class="small-caps">f</span><span
|
|
class="small-caps">a</span><span
|
|
class="small-caps">u</span><span
|
|
class="small-caps">l</span><span
|
|
class="small-caps">t</span></span> </td><td style="white-space:normal; text-align:left;" id="TBL-9-1-5"
|
|
class="td11"><!--l. 565--><p class="noindent" ><span
|
|
class="cmcsc-10"><span
|
|
class="small-caps">c</span><span
|
|
class="small-caps">o</span><span
|
|
class="small-caps">m</span><span
|
|
class="small-caps">m</span><span
|
|
class="small-caps">e</span><span
|
|
class="small-caps">n</span><span
|
|
class="small-caps">t</span><span
|
|
class="small-caps">s</span></span> </td></tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-9-2-"><td style="white-space:normal; text-align:left;" id="TBL-9-2-1"
|
|
class="td11"><!--l. 567--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">SMOOTHER_TYPE</span><span
|
|
class="cmtt-10">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-9-2-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 567--><p class="noindent" ><span
|
|
class="cmtt-10">character</span><span
|
|
class="cmtt-10">(</span><span
|
|
class="cmtt-10">len</span><span
|
|
class="cmtt-10">=*)</span> </td><td style="white-space:normal; text-align:left;" id="TBL-9-2-3"
|
|
class="td11"><!--l. 568--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">JACOBI</span><span
|
|
class="cmtt-10">’</span>
|
|
<!--l. 568--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">GS</span><span
|
|
class="cmtt-10">’</span>
|
|
<!--l. 568--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">BGS</span><span
|
|
class="cmtt-10">’</span>
|
|
<!--l. 568--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">BJAC</span><span
|
|
class="cmtt-10">’</span>
|
|
<!--l. 569--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">AS</span><span
|
|
class="cmtt-10">’</span>
|
|
<!--l. 569--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">L1</span><span
|
|
class="cmtt-10">-</span><span
|
|
class="cmtt-10">JACOBI</span><span
|
|
class="cmtt-10">’</span>
|
|
<!--l. 569--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">L1</span><span
|
|
class="cmtt-10">-</span><span
|
|
class="cmtt-10">BJAC</span><span
|
|
class="cmtt-10">’</span>
|
|
<!--l. 569--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">L1</span><span
|
|
class="cmtt-10">-</span><span
|
|
class="cmtt-10">FBGS</span><span
|
|
class="cmtt-10">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-9-2-4"
|
|
class="td11"><!--l. 570--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">FBGS</span><span
|
|
class="cmtt-10">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-9-2-5"
|
|
class="td11"><!--l. 571--><p class="noindent" ><span
|
|
class="cmr-10">Type of smoother used in the multilevel</span>
|
|
<span
|
|
class="cmr-10">preconditioner: point-Jacobi, hybrid</span>
|
|
<span
|
|
class="cmr-10">(forward) Gauss-Seidel, hybrid backward</span>
|
|
<span
|
|
class="cmr-10">Gauss-Seidel, block-Jacobi, </span><span
|
|
class="cmmi-10">ℓ</span><sub><span
|
|
class="cmr-7">1</span></sub><span
|
|
class="cmr-10">-Jacobi,</span>
|
|
<span
|
|
class="cmmi-10">ℓ</span><sub><span
|
|
class="cmr-7">1</span></sub><span
|
|
class="cmr-10">–hybrid (forward) Gauss-Seidel,</span>
|
|
<span
|
|
class="cmmi-10">ℓ</span><sub><span
|
|
class="cmr-7">1</span></sub><span
|
|
class="cmr-10">-point-Jacobi and Additive Schwarz.</span>
|
|
<!--l. 575--><p class="noindent" ><span
|
|
class="cmr-10">It is ignored by one-level preconditioners.</span> </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-9-3-"><td style="white-space:normal; text-align:left;" id="TBL-9-3-1"
|
|
class="td11"><!--l. 576--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">SUB_SOLVE</span><span
|
|
class="cmtt-10">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-9-3-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 576--><p class="noindent" ><span
|
|
class="cmtt-10">character</span><span
|
|
class="cmtt-10">(</span><span
|
|
class="cmtt-10">len</span><span
|
|
class="cmtt-10">=*)</span> </td><td style="white-space:normal; text-align:left;" id="TBL-9-3-3"
|
|
class="td11"><!--l. 577--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">JACOBI</span><span
|
|
class="cmtt-10">’</span>
|
|
<span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">GS</span><span
|
|
class="cmtt-10">’</span>
|
|
<!--l. 578--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">BGS</span><span
|
|
class="cmtt-10">’</span>
|
|
<!--l. 578--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">ILU</span><span
|
|
class="cmtt-10">’</span>
|
|
<!--l. 579--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">ILUT</span><span
|
|
class="cmtt-10">’</span>
|
|
<!--l. 579--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">MILU</span><span
|
|
class="cmtt-10">’</span>
|
|
<!--l. 580--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">MUMPS</span><span
|
|
class="cmtt-10">’</span>
|
|
<!--l. 581--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">SLU</span><span
|
|
class="cmtt-10">’</span>
|
|
<!--l. 581--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">UMF</span><span
|
|
class="cmtt-10">’</span>
|
|
<!--l. 582--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">INVT</span><span
|
|
class="cmtt-10">’</span>
|
|
<!--l. 582--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">INVK</span><span
|
|
class="cmtt-10">’</span>
|
|
<!--l. 582--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">AINV</span><span
|
|
class="cmtt-10">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-9-3-4"
|
|
class="td11"><!--l. 583--><p class="noindent" ><span
|
|
class="cmtt-10">GS </span><span
|
|
class="cmr-10">and </span><span
|
|
class="cmtt-10">BGS </span><span
|
|
class="cmr-10">for pre-</span>
|
|
<span
|
|
class="cmr-10">and post-smoothers of</span>
|
|
<span
|
|
class="cmr-10">multilevel</span>
|
|
<span
|
|
class="cmr-10">preconditioners,</span>
|
|
<span
|
|
class="cmr-10">respectively</span>
|
|
<!--l. 585--><p class="noindent" ><span
|
|
class="cmtt-10">ILU </span><span
|
|
class="cmr-10">for block-Jacobi</span>
|
|
<span
|
|
class="cmr-10">and Additive Schwarz</span>
|
|
<span
|
|
class="cmr-10">one-level</span>
|
|
<span
|
|
class="cmr-10">preconditioners</span> </td><td style="white-space:normal; text-align:left;" id="TBL-9-3-5"
|
|
class="td11"><!--l. 587--><p class="noindent" ><span
|
|
class="cmr-10">The local solver to be used with the</span>
|
|
<span
|
|
class="cmr-10">smoother or one-level preconditioner (see</span>
|
|
<span
|
|
class="cmr-10">Remark</span><span
|
|
class="cmr-10"> 2, page</span><span
|
|
class="cmr-10"> 24): point-Jacobi, hybrid</span>
|
|
<span
|
|
class="cmr-10">(forward) Gauss-Seidel, hybrid backward</span>
|
|
<span
|
|
class="cmr-10">Gauss-Seidel, ILU(</span><span
|
|
class="cmmi-10">p</span><span
|
|
class="cmr-10">), ILU(</span><span
|
|
class="cmmi-10">p,t</span><span
|
|
class="cmr-10">), MILU(</span><span
|
|
class="cmmi-10">p</span><span
|
|
class="cmr-10">),</span>
|
|
<span
|
|
class="cmr-10">LU from MUMPS,</span>
|
|
<span
|
|
class="cmr-10">SuperLU or UMFPACK (plus triangular</span>
|
|
<span
|
|
class="cmr-10">solve), Approximate Inverses INVK(</span><span
|
|
class="cmmi-10">p,q</span><span
|
|
class="cmr-10">),</span>
|
|
<span
|
|
class="cmr-10">INVT(</span><span
|
|
class="cmmi-10">p</span><sub><span
|
|
class="cmr-7">1</span></sub><span
|
|
class="cmmi-10">,p</span><span
|
|
class="cmr-10">2</span><span
|
|
class="cmmi-10">,t</span><sub><span
|
|
class="cmr-7">1</span></sub><span
|
|
class="cmmi-10">,t</span><sub><span
|
|
class="cmr-7">2</span></sub><span
|
|
class="cmr-10">) and AINV(</span><span
|
|
class="cmmi-10">t</span><span
|
|
class="cmr-10">); note</span>
|
|
<span
|
|
class="cmr-10">that approximate inverses are specifically</span>
|
|
<span
|
|
class="cmr-10">suited for GPUs since they do not employ</span>
|
|
<span
|
|
class="cmr-10">triangular system solve kernels, see</span><span
|
|
class="cmr-10"> </span><span class="cite"><span
|
|
class="cmr-10">[</span><a
|
|
href="userhtmlli5.html#XBERTACCINIFILIPPONE"><span
|
|
class="cmr-10">3</span></a><span
|
|
class="cmr-10">]</span></span><span
|
|
class="cmr-10">. See</span>
|
|
<span
|
|
class="cmr-10">Note for details on hybrid Gauss-Seidel.</span> </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-9-4-"><td style="white-space:normal; text-align:left;" id="TBL-9-4-1"
|
|
class="td11"><!--l. 601--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">SMOOTHER_SWEEPS</span><span
|
|
class="cmtt-10">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-9-4-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 601--><p class="noindent" ><span
|
|
class="cmtt-10">integer</span> </td><td style="white-space:normal; text-align:left;" id="TBL-9-4-3"
|
|
class="td11"><!--l. 602--><p class="noindent" ><span
|
|
class="cmr-10">Any integer</span>
|
|
<!--l. 602--><p class="noindent" ><span
|
|
class="cmr-10">number</span><span
|
|
class="cmr-10"> </span><span
|
|
class="cmsy-10">≥ </span><span
|
|
class="cmr-10">0</span></td><td style="white-space:normal; text-align:left;" id="TBL-9-4-4"
|
|
class="td11"><!--l. 603--><p class="noindent" ><span
|
|
class="cmr-10">1</span> </td><td style="white-space:normal; text-align:left;" id="TBL-9-4-5"
|
|
class="td11"><!--l. 604--><p class="noindent" ><span
|
|
class="cmr-10">Number of sweeps of the smoother or</span>
|
|
<span
|
|
class="cmr-10">one-level preconditioner. In the multilevel</span>
|
|
<span
|
|
class="cmr-10">case, no pre-smother or post-smoother</span>
|
|
<span
|
|
class="cmr-10">is used if this parameter is set to 0</span>
|
|
<span
|
|
class="cmr-10">together with </span><span class="lstinline"></span><span
|
|
class="cmtt-10">pos</span><span
|
|
class="cmtt-10">=</span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">PRE</span><span
|
|
class="cmtt-10">’</span> <span
|
|
class="cmr-10">or </span><span class="lstinline"></span><span
|
|
class="cmtt-10">pos</span><span
|
|
class="cmtt-10">=</span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">POST</span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmr-10">,</span>
|
|
<span
|
|
class="cmr-10">respectively.</span> </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-9-5-"><td style="white-space:normal; text-align:left;" id="TBL-9-5-1"
|
|
class="td11"><!--l. 609--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">SUB_OVR</span><span
|
|
class="cmtt-10">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-9-5-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 609--><p class="noindent" ><span
|
|
class="cmtt-10">integer</span> </td><td style="white-space:normal; text-align:left;" id="TBL-9-5-3"
|
|
class="td11"><!--l. 610--><p class="noindent" ><span
|
|
class="cmr-10">Any integer</span>
|
|
<!--l. 610--><p class="noindent" ><span
|
|
class="cmr-10">number</span><span
|
|
class="cmr-10"> </span><span
|
|
class="cmsy-10">≥ </span><span
|
|
class="cmr-10">0</span></td><td style="white-space:normal; text-align:left;" id="TBL-9-5-4"
|
|
class="td11"><!--l. 611--><p class="noindent" ><span
|
|
class="cmr-10">1</span> </td><td style="white-space:normal; text-align:left;" id="TBL-9-5-5"
|
|
class="td11"><!--l. 612--><p class="noindent" ><span
|
|
class="cmr-10">Number of overlap layers, for Additive</span>
|
|
<span
|
|
class="cmr-10">Schwarz only.</span> </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-9-6-"><td style="white-space:normal; text-align:left;" id="TBL-9-6-1"
|
|
class="td11"> </td></tr></table></div></div>
|
|
<br /> <div class="caption"
|
|
><span class="id">Table 7: </span><span
|
|
class="content">Parameters defining the smoother or the details of the one-level
|
|
preconditioner. </span></div><!--tex4ht:label?: x19-18014r7 -->
|
|
|
|
|
|
|
|
</div><hr class="endfloat" />
|
|
</div>
|
|
<div class="table">
|
|
|
|
|
|
|
|
<!--l. 621--><p class="indent" > <a
|
|
id="x19-18015r8"></a><hr class="float"><div class="float"
|
|
>
|
|
|
|
|
|
|
|
<div class="center"
|
|
>
|
|
<!--l. 621--><p class="noindent" >
|
|
<div class="tabular"> <table id="TBL-10" class="tabular"
|
|
cellspacing="0" cellpadding="0"
|
|
><colgroup id="TBL-10-1g"><col
|
|
id="TBL-10-1"></colgroup><colgroup id="TBL-10-2g"><col
|
|
id="TBL-10-2"></colgroup><colgroup id="TBL-10-3g"><col
|
|
id="TBL-10-3"></colgroup><colgroup id="TBL-10-4g"><col
|
|
id="TBL-10-4"></colgroup><colgroup id="TBL-10-5g"><col
|
|
id="TBL-10-5"></colgroup><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-10-1-"><td style="white-space:normal; text-align:left;" id="TBL-10-1-1"
|
|
class="td11"><!--l. 625--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">what</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-10-1-2"
|
|
class="td11"><span
|
|
class="cmcsc-10"><span
|
|
class="small-caps">d</span><span
|
|
class="small-caps">a</span><span
|
|
class="small-caps">t</span><span
|
|
class="small-caps">a</span> <span
|
|
class="small-caps">t</span><span
|
|
class="small-caps">y</span><span
|
|
class="small-caps">p</span><span
|
|
class="small-caps">e</span> </span></td><td style="white-space:normal; text-align:left;" id="TBL-10-1-3"
|
|
class="td11"><!--l. 625--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">val</span> </td><td style="white-space:normal; text-align:left;" id="TBL-10-1-4"
|
|
class="td11"><!--l. 625--><p class="noindent" ><span
|
|
class="cmcsc-10"><span
|
|
class="small-caps">d</span><span
|
|
class="small-caps">e</span><span
|
|
class="small-caps">f</span><span
|
|
class="small-caps">a</span><span
|
|
class="small-caps">u</span><span
|
|
class="small-caps">l</span><span
|
|
class="small-caps">t</span></span> </td><td style="white-space:normal; text-align:left;" id="TBL-10-1-5"
|
|
class="td11"><!--l. 626--><p class="noindent" ><span
|
|
class="cmcsc-10"><span
|
|
class="small-caps">c</span><span
|
|
class="small-caps">o</span><span
|
|
class="small-caps">m</span><span
|
|
class="small-caps">m</span><span
|
|
class="small-caps">e</span><span
|
|
class="small-caps">n</span><span
|
|
class="small-caps">t</span><span
|
|
class="small-caps">s</span></span> </td></tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-10-2-"><td style="white-space:normal; text-align:left;" id="TBL-10-2-1"
|
|
class="td11"><!--l. 627--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">SUB_RESTR</span><span
|
|
class="cmtt-10">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-10-2-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 627--><p class="noindent" ><span
|
|
class="cmtt-10">character</span><span
|
|
class="cmtt-10">(</span><span
|
|
class="cmtt-10">len</span><span
|
|
class="cmtt-10">=*)</span> </td><td style="white-space:normal; text-align:left;" id="TBL-10-2-3"
|
|
class="td11"><!--l. 628--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">HALO</span><span
|
|
class="cmtt-10">’</span>
|
|
<!--l. 628--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">NONE</span><span
|
|
class="cmtt-10">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-10-2-4"
|
|
class="td11"><!--l. 629--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">HALO</span><span
|
|
class="cmtt-10">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-10-2-5"
|
|
class="td11"><!--l. 630--><p class="noindent" ><span
|
|
class="cmr-10">Type of restriction operator, for Additive</span>
|
|
<span
|
|
class="cmr-10">Schwarz only: </span><span
|
|
class="cmtt-10">HALO </span><span
|
|
class="cmr-10">for taking into account</span>
|
|
<span
|
|
class="cmr-10">the overlap, </span><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">NONE</span><span
|
|
class="cmtt-10">’</span> <span
|
|
class="cmr-10">for neglecting it.</span>
|
|
<!--l. 633--><p class="noindent" ><span
|
|
class="cmr-10">Note that </span><span
|
|
class="cmtt-10">HALO </span><span
|
|
class="cmr-10">must be chosen for the</span>
|
|
<span
|
|
class="cmr-10">classical Addditive Schwarz smoother and</span>
|
|
<span
|
|
class="cmr-10">its RAS variant.</span> </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-10-3-"><td style="white-space:normal; text-align:left;" id="TBL-10-3-1"
|
|
class="td11"><!--l. 635--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">SUB_PROL</span><span
|
|
class="cmtt-10">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-10-3-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 635--><p class="noindent" ><span
|
|
class="cmtt-10">character</span><span
|
|
class="cmtt-10">(</span><span
|
|
class="cmtt-10">len</span><span
|
|
class="cmtt-10">=*)</span> </td><td style="white-space:normal; text-align:left;" id="TBL-10-3-3"
|
|
class="td11"><!--l. 636--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">SUM</span><span
|
|
class="cmtt-10">’</span>
|
|
<!--l. 636--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">NONE</span><span
|
|
class="cmtt-10">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-10-3-4"
|
|
class="td11"><!--l. 637--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">NONE</span><span
|
|
class="cmtt-10">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-10-3-5"
|
|
class="td11"><!--l. 638--><p class="noindent" ><span
|
|
class="cmr-10">Type of prolongation operator, for Additive</span>
|
|
<span
|
|
class="cmr-10">Schwarz only: </span><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">SUM</span><span
|
|
class="cmtt-10">’</span> <span
|
|
class="cmr-10">for adding the</span>
|
|
<span
|
|
class="cmr-10">contributions from the overlap, </span><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">NONE</span><span
|
|
class="cmtt-10">’</span> <span
|
|
class="cmr-10">for</span>
|
|
<span
|
|
class="cmr-10">neglecting them.</span>
|
|
<!--l. 641--><p class="noindent" ><span
|
|
class="cmr-10">Note that </span><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">SUM</span><span
|
|
class="cmtt-10">’</span> <span
|
|
class="cmr-10">must be chosen for the</span>
|
|
<span
|
|
class="cmr-10">classical Additive Schwarz smoother, and</span>
|
|
<span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">NONE</span><span
|
|
class="cmtt-10">’</span> <span
|
|
class="cmr-10">for its RAS variant.</span> </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-10-4-"><td style="white-space:normal; text-align:left;" id="TBL-10-4-1"
|
|
class="td11"><!--l. 643--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">SUB_FILLIN</span><span
|
|
class="cmtt-10">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-10-4-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 643--><p class="noindent" ><span
|
|
class="cmtt-10">integer</span> </td><td style="white-space:normal; text-align:left;" id="TBL-10-4-3"
|
|
class="td11"><!--l. 644--><p class="noindent" ><span
|
|
class="cmr-10">Any integer</span>
|
|
<!--l. 644--><p class="noindent" ><span
|
|
class="cmr-10">number</span><span
|
|
class="cmr-10"> </span><span
|
|
class="cmsy-10">≥ </span><span
|
|
class="cmr-10">0</span> </td><td style="white-space:normal; text-align:left;" id="TBL-10-4-4"
|
|
class="td11"><!--l. 645--><p class="noindent" ><span
|
|
class="cmr-10">0</span> </td><td style="white-space:normal; text-align:left;" id="TBL-10-4-5"
|
|
class="td11"><!--l. 646--><p class="noindent" ><span
|
|
class="cmr-10">Fill-in level </span><span
|
|
class="cmmi-10">p </span><span
|
|
class="cmr-10">of the incomplete LU</span>
|
|
<span
|
|
class="cmr-10">factorizations.</span> </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-10-5-"><td style="white-space:normal; text-align:left;" id="TBL-10-5-1"
|
|
class="td11"><!--l. 647--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">SUB_ILUTHRS</span><span
|
|
class="cmtt-10">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-10-5-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 647--><p class="noindent" ><span
|
|
class="cmtt-10">real</span><span
|
|
class="cmtt-10">(</span><span
|
|
class="cmtt-10">kind_parameter</span><span
|
|
class="cmtt-10">)</span> </td><td style="white-space:normal; text-align:left;" id="TBL-10-5-3"
|
|
class="td11"><!--l. 648--><p class="noindent" ><span
|
|
class="cmr-10">Any real</span>
|
|
<span
|
|
class="cmr-10">number</span><span
|
|
class="cmr-10"> </span><span
|
|
class="cmsy-10">≥ </span><span
|
|
class="cmr-10">0</span> </td><td style="white-space:normal; text-align:left;" id="TBL-10-5-4"
|
|
class="td11"><!--l. 649--><p class="noindent" ><span
|
|
class="cmr-10">0</span> </td><td style="white-space:normal; text-align:left;" id="TBL-10-5-5"
|
|
class="td11"><!--l. 650--><p class="noindent" ><span
|
|
class="cmr-10">Drop tolerance </span><span
|
|
class="cmmi-10">t </span><span
|
|
class="cmr-10">in the ILU(</span><span
|
|
class="cmmi-10">p,t</span><span
|
|
class="cmr-10">)</span>
|
|
<span
|
|
class="cmr-10">factorization.</span> </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-10-6-"><td style="white-space:normal; text-align:left;" id="TBL-10-6-1"
|
|
class="td11"><!--l. 651--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">MUMPS_LOC_GLOB</span><span
|
|
class="cmtt-10">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-10-6-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 651--><p class="noindent" ><span
|
|
class="cmtt-10">character</span><span
|
|
class="cmtt-10">(</span><span
|
|
class="cmtt-10">len</span><span
|
|
class="cmtt-10">=*)</span> </td><td style="white-space:normal; text-align:left;" id="TBL-10-6-3"
|
|
class="td11"><!--l. 652--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">LOCAL_SOLVER</span><span
|
|
class="cmtt-10">’</span>
|
|
<!--l. 652--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">GLOBAL_SOLVER</span><span
|
|
class="cmtt-10">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-10-6-4"
|
|
class="td11"><!--l. 653--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">GLOBAL_SOLVER</span><span
|
|
class="cmtt-10">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-10-6-5"
|
|
class="td11"><!--l. 654--><p class="noindent" ><span
|
|
class="cmr-10">Whether MUMPS should be used as a</span>
|
|
<span
|
|
class="cmr-10">distributed solver, or as a serial solver acting</span>
|
|
<span
|
|
class="cmr-10">only on the part of the matrix local to each</span>
|
|
<span
|
|
class="cmr-10">process.</span> </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-10-7-"><td style="white-space:normal; text-align:left;" id="TBL-10-7-1"
|
|
class="td11"><!--l. 658--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">MUMPS_IPAR_ENTRY</span><span
|
|
class="cmtt-10">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-10-7-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 658--><p class="noindent" ><span
|
|
class="cmtt-10">integer</span> </td><td style="white-space:normal; text-align:left;" id="TBL-10-7-3"
|
|
class="td11"><!--l. 659--><p class="noindent" ><span
|
|
class="cmr-10">Any integer</span>
|
|
<span
|
|
class="cmr-10">number</span> </td><td style="white-space:normal; text-align:left;" id="TBL-10-7-4"
|
|
class="td11"><!--l. 660--><p class="noindent" ><span
|
|
class="cmr-10">0</span> </td><td style="white-space:normal; text-align:left;" id="TBL-10-7-5"
|
|
class="td11"><!--l. 661--><p class="noindent" ><span
|
|
class="cmr-10">Set an entry in the MUMPS integer control</span>
|
|
<span
|
|
class="cmr-10">array, as chosen via the </span><span class="lstinline"></span><span
|
|
class="cmtt-10">idx</span> <span
|
|
class="cmr-10">optional</span>
|
|
<span
|
|
class="cmr-10">argument.</span> </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-10-8-"><td style="white-space:normal; text-align:left;" id="TBL-10-8-1"
|
|
class="td11"><!--l. 663--><p class="noindent" ><span class="lstinline"></span><span
|
|
class="cmtt-10">’</span><span
|
|
class="cmtt-10">MUMPS_RPAR_ENTRY</span><span
|
|
class="cmtt-10">’</span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-10-8-2"
|
|
class="td11"><span class="lstinline"></span><!--l. 663--><p class="noindent" ><span
|
|
class="cmtt-10">real</span> </td><td style="white-space:normal; text-align:left;" id="TBL-10-8-3"
|
|
class="td11"><!--l. 664--><p class="noindent" ><span
|
|
class="cmr-10">Any real number</span> </td><td style="white-space:normal; text-align:left;" id="TBL-10-8-4"
|
|
class="td11"><!--l. 665--><p class="noindent" ><span
|
|
class="cmr-10">0</span> </td><td style="white-space:normal; text-align:left;" id="TBL-10-8-5"
|
|
class="td11"><!--l. 666--><p class="noindent" ><span
|
|
class="cmr-10">Set an entry in the MUMPS real control</span>
|
|
<span
|
|
class="cmr-10">array, as chosen via the </span><span class="lstinline"></span><span
|
|
class="cmtt-10">idx</span> <span
|
|
class="cmr-10">optional</span>
|
|
<span
|
|
class="cmr-10">argument.</span> </td>
|
|
</tr><tr
|
|
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
|
style="vertical-align:baseline;" id="TBL-10-9-"><td style="white-space:normal; text-align:left;" id="TBL-10-9-1"
|
|
class="td11"> </td></tr></table></div></div>
|
|
<br /> <div class="caption"
|
|
><span class="id">Table 8: </span><span
|
|
class="content">Parameters defining the smoother or the details of the one-level preconditioner
|
|
(continued).</span></div><!--tex4ht:label?: x19-18015r8 -->
|
|
|
|
|
|
|
|
</div><hr class="endfloat" />
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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