|
|
@ -137,7 +137,7 @@ refer to Section <A HREF="node11.html#sec:background">4</A>.
|
|
|
|
|
|
|
|
|
|
|
|
<P>
|
|
|
|
<P>
|
|
|
|
<BR><P></P>
|
|
|
|
<BR><P></P>
|
|
|
|
<DIV ALIGN="CENTER"><A NAME="1251"></A>
|
|
|
|
<DIV ALIGN="CENTER"><A NAME="1252"></A>
|
|
|
|
<TABLE>
|
|
|
|
<TABLE>
|
|
|
|
<CAPTION><STRONG>Table 2:</STRONG>
|
|
|
|
<CAPTION><STRONG>Table 2:</STRONG>
|
|
|
|
Parameters defining the type of multi-level preconditioner.
|
|
|
|
Parameters defining the type of multi-level preconditioner.
|
|
|
@ -181,7 +181,7 @@ Parameters defining the type of multi-level preconditioner.
|
|
|
|
|
|
|
|
|
|
|
|
<P>
|
|
|
|
<P>
|
|
|
|
<BR><P></P>
|
|
|
|
<BR><P></P>
|
|
|
|
<DIV ALIGN="CENTER"><A NAME="1253"></A>
|
|
|
|
<DIV ALIGN="CENTER"><A NAME="1254"></A>
|
|
|
|
<TABLE>
|
|
|
|
<TABLE>
|
|
|
|
<CAPTION><STRONG>Table 3:</STRONG>
|
|
|
|
<CAPTION><STRONG>Table 3:</STRONG>
|
|
|
|
Parameters defining the one-level preconditioner used as smoother.
|
|
|
|
Parameters defining the one-level preconditioner used as smoother.
|
|
|
@ -281,7 +281,7 @@ Parameters defining the one-level preconditioner used as smoother.
|
|
|
|
|
|
|
|
|
|
|
|
<P>
|
|
|
|
<P>
|
|
|
|
<BR><P></P>
|
|
|
|
<BR><P></P>
|
|
|
|
<DIV ALIGN="CENTER"><A NAME="1255"></A>
|
|
|
|
<DIV ALIGN="CENTER"><A NAME="1256"></A>
|
|
|
|
<TABLE>
|
|
|
|
<TABLE>
|
|
|
|
<CAPTION><STRONG>Table 4:</STRONG>
|
|
|
|
<CAPTION><STRONG>Table 4:</STRONG>
|
|
|
|
Parameters defining the aggregation algorithm.
|
|
|
|
Parameters defining the aggregation algorithm.
|
|
|
@ -291,29 +291,29 @@ Parameters defining the aggregation algorithm.
|
|
|
|
<TABLE CELLPADDING=3 BORDER="1" ALIGN="CENTER">
|
|
|
|
<TABLE CELLPADDING=3 BORDER="1" ALIGN="CENTER">
|
|
|
|
<TR><TD ALIGN="LEFT"><code>what</code></TD>
|
|
|
|
<TR><TD ALIGN="LEFT"><code>what</code></TD>
|
|
|
|
<TD ALIGN="LEFT"><SMALL>DATA TYPE</SMALL></TD>
|
|
|
|
<TD ALIGN="LEFT"><SMALL>DATA TYPE</SMALL></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=65><code>val</code></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=68><code>val</code></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=74><SMALL>DEFAULT</SMALL></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=68><SMALL>DEFAULT</SMALL></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198><SMALL>COMMENTS</SMALL></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198><SMALL>COMMENTS</SMALL></TD>
|
|
|
|
</TR>
|
|
|
|
</TR>
|
|
|
|
<TR><TD ALIGN="LEFT"><code>mld_aggr_alg_</code></TD>
|
|
|
|
<TR><TD ALIGN="LEFT"><code>mld_aggr_alg_</code></TD>
|
|
|
|
<TD ALIGN="LEFT"><code>character(len=*)</code></TD>
|
|
|
|
<TD ALIGN="LEFT"><code>character(len=*)</code></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=65><TT>'DEC'</TT></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=68><TT>'DEC'</TT></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=74><TT>'DEC'</TT></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=68><TT>'DEC'</TT></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Aggregation algorithm. Currently, only the decoupled aggregation is available.</TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Aggregation algorithm. Currently, only the decoupled aggregation is available.</TD>
|
|
|
|
</TR>
|
|
|
|
</TR>
|
|
|
|
<TR><TD ALIGN="LEFT"><code>mld_aggr_kind_</code></TD>
|
|
|
|
<TR><TD ALIGN="LEFT"><code>mld_aggr_kind_</code></TD>
|
|
|
|
<TD ALIGN="LEFT"><code>character(len=*)</code></TD>
|
|
|
|
<TD ALIGN="LEFT"><code>character(len=*)</code></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=65><TT>'SMOOTH'</TT> <TT>'RAW'</TT></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=68><TT>'SMOOTH'</TT> <TT>'RAW'</TT></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=74><TT>'SMOOTH'</TT></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=68><TT>'SMOOTH'</TT></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Type of aggregation: smoothed, raw (i.e. using the tentative prolongator).</TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Type of aggregation: smoothed, raw (i.e. using the tentative prolongator).</TD>
|
|
|
|
</TR>
|
|
|
|
</TR>
|
|
|
|
<TR><TD ALIGN="LEFT"><code>mld_aggr_thresh_</code></TD>
|
|
|
|
<TR><TD ALIGN="LEFT"><code>mld_aggr_thresh_</code></TD>
|
|
|
|
<TD ALIGN="LEFT"><code>real(</code><I>kind_parameter</I><code>)</code></TD>
|
|
|
|
<TD ALIGN="LEFT"><code>real(</code><I>kind_parameter</I><code>)</code></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=65>Any real num. <IMG
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=68>Any real num. <IMG
|
|
|
|
WIDTH="56" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
|
|
|
|
WIDTH="56" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
|
|
|
|
SRC="img90.png"
|
|
|
|
SRC="img90.png"
|
|
|
|
ALT="$\in [0, 1]$"></TD>
|
|
|
|
ALT="$\in [0, 1]$"></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=74>0</TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=68>0</TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Threshold <IMG
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Threshold <IMG
|
|
|
|
WIDTH="13" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
|
|
|
|
WIDTH="13" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
|
|
|
|
SRC="img91.png"
|
|
|
|
SRC="img91.png"
|
|
|
@ -321,49 +321,57 @@ Parameters defining the aggregation algorithm.
|
|
|
|
</TR>
|
|
|
|
</TR>
|
|
|
|
<TR><TD ALIGN="LEFT"><code>mld_aggr_omega_alg_</code></TD>
|
|
|
|
<TR><TD ALIGN="LEFT"><code>mld_aggr_omega_alg_</code></TD>
|
|
|
|
<TD ALIGN="LEFT"><code>character(len=*)</code></TD>
|
|
|
|
<TD ALIGN="LEFT"><code>character(len=*)</code></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=65><TT>'USER_CHOICE'</TT> <TT>'EIG_EST'</TT></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=68><TT>'EIG_EST'</TT> <TT>'USER_CHOICE'</TT></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=74><TT>'EIG_EST'</TT></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=68><TT>'EIG_EST'</TT></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>How the damping parameter <IMG
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>How the damping parameter <IMG
|
|
|
|
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
|
|
|
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
|
|
|
SRC="img84.png"
|
|
|
|
SRC="img84.png"
|
|
|
|
ALT="$\omega$"> in the
|
|
|
|
ALT="$\omega$"> in the
|
|
|
|
smoothed aggregation should be computed:
|
|
|
|
smoothed aggregation should be computed:
|
|
|
|
either via an estimate of the eigenvalue
|
|
|
|
either via an estimate of the spectral radius of
|
|
|
|
<IMG
|
|
|
|
<IMG
|
|
|
|
WIDTH="50" HEIGHT="21" ALIGN="BOTTOM" BORDER="0"
|
|
|
|
WIDTH="50" HEIGHT="21" ALIGN="BOTTOM" BORDER="0"
|
|
|
|
SRC="img85.png"
|
|
|
|
SRC="img85.png"
|
|
|
|
ALT="$D^{-1}A$"> with largest modulus, or explicily
|
|
|
|
ALT="$D^{-1}A$">, or explicily
|
|
|
|
specified by the user.</TD>
|
|
|
|
specified by the user.</TD>
|
|
|
|
</TR>
|
|
|
|
</TR>
|
|
|
|
<TR><TD ALIGN="LEFT"><code>mld_aggr_eig_</code></TD>
|
|
|
|
<TR><TD ALIGN="LEFT"><code>mld_aggr_eig_</code></TD>
|
|
|
|
<TD ALIGN="LEFT"><code>character(len=*)</code></TD>
|
|
|
|
<TD ALIGN="LEFT"><code>character(len=*)</code></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=65><TT>'A_NORMI'</TT></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=68><TT>'A_NORMI'</TT></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=74><TT>'A_NORMI'</TT></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=68><TT>'A_NORMI'</TT></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>How to estimate the eigenvalue <IMG
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>How to estimate the spectral radius of <IMG
|
|
|
|
WIDTH="50" HEIGHT="21" ALIGN="BOTTOM" BORDER="0"
|
|
|
|
WIDTH="50" HEIGHT="21" ALIGN="BOTTOM" BORDER="0"
|
|
|
|
SRC="img85.png"
|
|
|
|
SRC="img85.png"
|
|
|
|
ALT="$D^{-1}A$"> with largest modulus.
|
|
|
|
ALT="$D^{-1}A$">.
|
|
|
|
Currently only the infinity norm estimate
|
|
|
|
Currently only the infinity norm estimate
|
|
|
|
is available.</TD>
|
|
|
|
is available.</TD>
|
|
|
|
</TR>
|
|
|
|
</TR>
|
|
|
|
<TR><TD ALIGN="LEFT"><code>mld_aggr_damp_</code></TD>
|
|
|
|
<TR><TD ALIGN="LEFT"><code>mld_aggr_damp_</code></TD>
|
|
|
|
<TD ALIGN="LEFT"><code>real(</code><I>kind_parameter</I><code>)</code></TD>
|
|
|
|
<TD ALIGN="LEFT"><code>real(</code><I>kind_parameter</I><code>)</code></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=65>Any nonnegative real num.</TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=68>Any nonnegative real num.</TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=74><!-- MATH
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=68><!-- MATH
|
|
|
|
$4/(3|\lambda_{max}(D^{-1}A)|)$
|
|
|
|
$4/(3\rho(D^{-1}A))$
|
|
|
|
-->
|
|
|
|
-->
|
|
|
|
<IMG
|
|
|
|
<IMG
|
|
|
|
WIDTH="151" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
|
|
|
|
WIDTH="113" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
|
|
|
|
SRC="img92.png"
|
|
|
|
SRC="img92.png"
|
|
|
|
ALT="$4/(3\vert\lambda_{max}(D^{-1}A)\vert)$"></TD>
|
|
|
|
ALT="$4/(3\rho(D^{-1}A))$"></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Damping parameter <IMG
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Damping parameter <IMG
|
|
|
|
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
|
|
|
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
|
|
|
SRC="img84.png"
|
|
|
|
SRC="img84.png"
|
|
|
|
ALT="$\omega$"> in the smoothed aggregation algorithm.
|
|
|
|
ALT="$\omega$"> in the smoothed aggregation algorithm.
|
|
|
|
Must be set by the user if
|
|
|
|
It must be set by the user if
|
|
|
|
<code>USER_CHOICE</code> was specified for
|
|
|
|
<code>USER_CHOICE</code> was specified for
|
|
|
|
<code>mld_aggr_omega_alg_</code>,
|
|
|
|
<code>mld_aggr_omega_alg_</code>,
|
|
|
|
otherwise it is computed by the library.</TD>
|
|
|
|
otherwise it is computed by the library, using the
|
|
|
|
|
|
|
|
selected estimate of the spectral radius <IMG
|
|
|
|
|
|
|
|
WIDTH="73" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
|
|
|
|
|
|
|
|
SRC="img93.png"
|
|
|
|
|
|
|
|
ALT="$\rho(D^{-1}A)$"> of
|
|
|
|
|
|
|
|
<IMG
|
|
|
|
|
|
|
|
WIDTH="50" HEIGHT="21" ALIGN="BOTTOM" BORDER="0"
|
|
|
|
|
|
|
|
SRC="img85.png"
|
|
|
|
|
|
|
|
ALT="$D^{-1}A$">.</TD>
|
|
|
|
</TR>
|
|
|
|
</TR>
|
|
|
|
</TABLE>
|
|
|
|
</TABLE>
|
|
|
|
</DIV>
|
|
|
|
</DIV>
|
|
|
@ -374,7 +382,7 @@ Parameters defining the aggregation algorithm.
|
|
|
|
|
|
|
|
|
|
|
|
<P>
|
|
|
|
<P>
|
|
|
|
<BR><P></P>
|
|
|
|
<BR><P></P>
|
|
|
|
<DIV ALIGN="CENTER"><A NAME="1257"></A>
|
|
|
|
<DIV ALIGN="CENTER"><A NAME="1258"></A>
|
|
|
|
<TABLE>
|
|
|
|
<TABLE>
|
|
|
|
<CAPTION><STRONG>Table 5:</STRONG>
|
|
|
|
<CAPTION><STRONG>Table 5:</STRONG>
|
|
|
|
Parameters defining the coarse-space correction at the coarsest
|
|
|
|
Parameters defining the coarse-space correction at the coarsest
|
|
|
@ -432,7 +440,7 @@ level.</CAPTION>
|
|
|
|
<TD ALIGN="LEFT"><code>integer</code></TD>
|
|
|
|
<TD ALIGN="LEFT"><code>integer</code></TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91>Any int. num. <IMG
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91>Any int. num. <IMG
|
|
|
|
WIDTH="31" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
|
|
|
|
WIDTH="31" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
|
|
|
|
SRC="img93.png"
|
|
|
|
SRC="img94.png"
|
|
|
|
ALT="$> 0$"></TD>
|
|
|
|
ALT="$> 0$"></TD>
|
|
|
|
<TD ALIGN="LEFT">4</TD>
|
|
|
|
<TD ALIGN="LEFT">4</TD>
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Number of Block-Jacobi sweeps when 'BJAC' is used as
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Number of Block-Jacobi sweeps when 'BJAC' is used as
|
|
|
|