You cannot select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
116 lines
4.3 KiB
HTML
116 lines
4.3 KiB
HTML
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
|
|
|
|
<!--Converted with LaTeX2HTML 2012 (1.2)
|
|
original version by: Nikos Drakos, CBLU, University of Leeds
|
|
* revised and updated by: Marcus Hennecke, Ross Moore, Herb Swan
|
|
* with significant contributions from:
|
|
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
|
|
<HTML>
|
|
<HEAD>
|
|
<TITLE>Abstract</TITLE>
|
|
<META NAME="description" CONTENT="Abstract">
|
|
<META NAME="keywords" CONTENT="userhtml">
|
|
<META NAME="resource-type" CONTENT="document">
|
|
<META NAME="distribution" CONTENT="global">
|
|
|
|
<META NAME="Generator" CONTENT="LaTeX2HTML v2012">
|
|
<META HTTP-EQUIV="Content-Style-Type" CONTENT="text/css">
|
|
|
|
<LINK REL="STYLESHEET" HREF="userhtml.css">
|
|
|
|
<LINK REL="next" HREF="node2.html">
|
|
<LINK REL="previous" HREF="userhtml.html">
|
|
<LINK REL="up" HREF="userhtml.html">
|
|
<LINK REL="next" HREF="node2.html">
|
|
</HEAD>
|
|
|
|
<BODY >
|
|
<!--Navigation Panel-->
|
|
<A NAME="tex2html51"
|
|
HREF="node2.html">
|
|
<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A>
|
|
<A NAME="tex2html47"
|
|
HREF="userhtml.html">
|
|
<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A>
|
|
<A NAME="tex2html41"
|
|
HREF="userhtml.html">
|
|
<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev.png"></A>
|
|
<A NAME="tex2html49"
|
|
HREF="node2.html">
|
|
<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A>
|
|
<BR>
|
|
<B> Next:</B> <A NAME="tex2html52"
|
|
HREF="node2.html">Contents</A>
|
|
<B> Up:</B> <A NAME="tex2html48"
|
|
HREF="userhtml.html">userhtml</A>
|
|
<B> Previous:</B> <A NAME="tex2html42"
|
|
HREF="userhtml.html">userhtml</A>
|
|
<B> <A NAME="tex2html50"
|
|
HREF="node2.html">Contents</A></B>
|
|
<BR>
|
|
<BR>
|
|
<!--End of Navigation Panel-->
|
|
|
|
<H1><A NAME="SECTION00010000000000000000">
|
|
Abstract</A>
|
|
</H1>
|
|
|
|
MLD2P4 (M<SMALL>ULTI-</SMALL>L<SMALL>EVEL </SMALL>D<SMALL>OMAIN </SMALL>D<SMALL>ECOMPOSITION </SMALL>P<SMALL>ARALLEL </SMALL>P<SMALL>RECONDITIONERS </SMALL>P<SMALL>ACKAGE BASED ON
|
|
</SMALL>PSBLAS) is a package of parallel algebraic multi-level preconditioners.
|
|
It implements various versions of one-level additive and of multi-level additive
|
|
and hybrid Schwarz algorithms. In the multi-level case, a purely algebraic approach
|
|
is applied to generate coarse-level corrections, so that no geometric background is needed
|
|
concerning the matrix to be preconditioned. The matrix is assumed to be square, real
|
|
or complex, with a symmetric sparsity pattern.
|
|
|
|
<P>
|
|
MLD2P4 has been designed to provide scalable and easy-to-use preconditioners in the
|
|
context of the PSBLAS (Parallel Sparse Basic Linear Algebra Subprograms)
|
|
computational framework and can be used in conjuction with the Krylov solvers
|
|
available in this framework. MLD2P4 enables the user to easily specify different aspects
|
|
of a generic algebraic multilevel Schwarz preconditioner, thus allowing to search
|
|
for the ``best'' preconditioner for the problem at hand.
|
|
|
|
<P>
|
|
The package employs object-oriented design techniques in
|
|
Fortran 2003, with interfaces to additional third party libraries
|
|
such as UMFPACK, SuperLU and SuperLU_Dist, that
|
|
can be exploited in building multi-level preconditioners. The parallel
|
|
implementation is based on a Single Program Multiple Data (SPMD)
|
|
paradigm for distributed-memory architectures; the inter-process data
|
|
communication is based on MPI and is managed mainly through PSBLAS.
|
|
|
|
<P>
|
|
This guide provides a brief description of the functionalities and
|
|
the user interface of MLD2P4.
|
|
|
|
<P>
|
|
|
|
<HR>
|
|
<!--Navigation Panel-->
|
|
<A NAME="tex2html51"
|
|
HREF="node2.html">
|
|
<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A>
|
|
<A NAME="tex2html47"
|
|
HREF="userhtml.html">
|
|
<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A>
|
|
<A NAME="tex2html41"
|
|
HREF="userhtml.html">
|
|
<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev.png"></A>
|
|
<A NAME="tex2html49"
|
|
HREF="node2.html">
|
|
<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A>
|
|
<BR>
|
|
<B> Next:</B> <A NAME="tex2html52"
|
|
HREF="node2.html">Contents</A>
|
|
<B> Up:</B> <A NAME="tex2html48"
|
|
HREF="userhtml.html">userhtml</A>
|
|
<B> Previous:</B> <A NAME="tex2html42"
|
|
HREF="userhtml.html">userhtml</A>
|
|
<B> <A NAME="tex2html50"
|
|
HREF="node2.html">Contents</A></B>
|
|
<!--End of Navigation Panel-->
|
|
|
|
</BODY>
|
|
</HTML>
|