Merge mumps into trunk

This commit is contained in:
Ambra Abdullahi
2016-03-26 10:39:51 +00:00
parent c3d57d91db
commit d096f682dd
87 changed files with 4517 additions and 380 deletions
+14 -12
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<!--Converted with LaTeX2HTML 2012 (1.2)
original version by: Nikos Drakos, CBLU, University of Leeds
@@ -25,7 +25,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds
</HEAD>
<BODY >
<!--Navigation Panel-->
<DIV CLASS="navigation"><!--Navigation Panel-->
<A NAME="tex2html195"
HREF="node12.html">
<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A>
@@ -48,7 +49,7 @@ original version by: Nikos Drakos, CBLU, University of Leeds
&nbsp; <B> <A NAME="tex2html194"
HREF="node2.html">Contents</A></B>
<BR>
<BR>
<BR></DIV>
<!--End of Navigation Panel-->
<H1><A NAME="SECTION00060000000000000000"></A><A NAME="sec:background"></A>
@@ -57,7 +58,7 @@ Multi-level Domain Decomposition Background
</H1>
<P>
<I>Domain Decomposition</I> (DD) preconditioners, coupled with Krylov iterative
<SPAN CLASS="textit">Domain Decomposition</SPAN> (DD) preconditioners, coupled with Krylov iterative
solvers, are widely used in the parallel solution of large and sparse linear systems.
These preconditioners are based on the divide and conquer technique: the matrix
to be preconditioned is divided into submatrices, a ``local'' linear system
@@ -73,7 +74,7 @@ solution of the original problem from the local solutions
HREF="node25.html#dd2_96">22</A>].
<P>
<I>Additive Schwarz</I> preconditioners are DD preconditioners using overlapping
<SPAN CLASS="textit">Additive Schwarz</SPAN> preconditioners are DD preconditioners using overlapping
submatrices, i.e. with some common rows, to couple the local information
related to the submatrices (see, e.g., [<A
HREF="node25.html#dd2_96">22</A>]).
@@ -89,7 +90,7 @@ in a coarse space, which globally couples the information related to the single
submatrices.
<P>
<I>Two-level Schwarz</I> preconditioners are obtained
<SPAN CLASS="textit">Two-level Schwarz</SPAN> preconditioners are obtained
by combining basic (one-level) Schwarz preconditioners with a coarse-level
correction. In this context, the one-level preconditioner is often
called `smoother'. Different two-level preconditioners are obtained by varying the
@@ -97,7 +98,7 @@ choice of the smoother and of the coarse-level correction, and the
way they are combined [<A
HREF="node25.html#dd2_96">22</A>]. The same reasoning can be applied starting
from the coarse-level system, i.e. a coarse-space correction can be built
from this system, thus obtaining <I>multi-level</I> preconditioners.
from this system, thus obtaining <SPAN CLASS="textit">multi-level</SPAN> preconditioners.
<P>
It is worth noting that optimal preconditioners do not necessarily correspond
@@ -123,8 +124,8 @@ interpolation [<A
<P>
MLD2P4 uses a pure algebraic approach for building the sequence of coarse matrices
starting from the original matrix. The algebraic approach is based on the <I>smoothed
aggregation</I> algorithm [<A
starting from the original matrix. The algebraic approach is based on the <SPAN CLASS="textit">smoothed
aggregation</SPAN> algorithm [<A
HREF="node25.html#BREZINA_VANEK">1</A>,<A
HREF="node25.html#VANEK_MANDEL_BREZINA">26</A>]. A decoupled version
of this algorithm is implemented, where the smoothed aggregation is applied locally
@@ -144,14 +145,15 @@ is referred to [<A
<!--Table of Child-Links-->
<A NAME="CHILD_LINKS"><STRONG>Subsections</STRONG></A>
<UL>
<UL CLASS="ChildLinks">
<LI><A NAME="tex2html197"
HREF="node12.html">Multi-level Schwarz Preconditioners</A>
<LI><A NAME="tex2html198"
HREF="node13.html">Smoothed Aggregation</A>
</UL>
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<HR>
<DIV CLASS="navigation"><HR>
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<A NAME="tex2html195"
HREF="node12.html">
@@ -173,7 +175,7 @@ is referred to [<A
<B> Previous:</B> <A NAME="tex2html186"
HREF="node10.html">Example and test programs</A>
&nbsp; <B> <A NAME="tex2html194"
HREF="node2.html">Contents</A></B>
HREF="node2.html">Contents</A></B> </DIV>
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