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Salvatore Filippone
5 years ago
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
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<B> Next:</B> <A NAME="tex2html26"
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HREF="node1.html">Abstract</A>
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<B> <A NAME="tex2html24"
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HREF="node2.html">Contents</A></B>
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<BIG CLASS="XXLARGE"><B>MLD2P4
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<BR>
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<BR>
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User's and Reference Guide</B></BIG>
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<BR><SPAN CLASS="textit"><BIG CLASS="LARGE">A guide for the MultiLevel Domain Decomposition
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Parallel Preconditioners Package
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based on PSBLAS</BIG></SPAN>
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<BR>
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<BR>
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<BR><BIG CLASS="LARGE"><B>Pasqua D'Ambra</B></BIG>
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<BR><BIG CLASS="LARGE">IAC-CNR, Naples, Italy
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<BR><BIG CLASS="LARGE"><B>Daniela di Serafino</B></BIG>
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<BR><BIG CLASS="LARGE">University of Campania “Luigi Vanvitelli”, Caserta, Italy
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<BR><BIG CLASS="LARGE"><B>Salvatore Filippone</B></BIG>
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<BR><BIG CLASS="LARGE">Cranfield University, Cranfield, United Kingdom
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Software version: 2.2
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<BR>
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July 31, 2018
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<BIG CLASS="LARGE"><BIG CLASS="LARGE"><BIG CLASS="LARGE"> </BIG></BIG></BIG>
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<BIG CLASS="LARGE"><BIG CLASS="LARGE"><BIG CLASS="LARGE"></BIG></BIG></BIG>
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<A NAME="CHILD_LINKS"></A>
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<UL CLASS="ChildLinks">
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<LI><A NAME="tex2html27"
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HREF="node1.html">Abstract</A>
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HREF="node2.html">Contents</A>
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HREF="node3.html">General Overview</A>
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HREF="node4.html">Code Distribution</A>
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HREF="node5.html">Contributors</A>
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<LI><A NAME="tex2html32"
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HREF="node6.html">Configuring and Building MLD2P4</A>
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<LI><A NAME="tex2html33"
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HREF="node7.html">Prerequisites</A>
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<LI><A NAME="tex2html34"
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HREF="node8.html">Optional third party libraries</A>
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HREF="node9.html">Configuration options</A>
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HREF="node10.html">Bug reporting</A>
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<LI><A NAME="tex2html37"
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HREF="node11.html">Example and test programs</A>
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<LI><A NAME="tex2html38"
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HREF="node12.html">Multigrid Background</A>
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<UL>
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<LI><A NAME="tex2html39"
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HREF="node13.html">AMG preconditioners</A>
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<LI><A NAME="tex2html40"
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HREF="node14.html">Smoothed Aggregation</A>
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<LI><A NAME="tex2html41"
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HREF="node15.html">Smoothers and coarsest-level solvers</A>
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<LI><A NAME="tex2html42"
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HREF="node16.html">Getting Started</A>
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<LI><A NAME="tex2html43"
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HREF="node17.html">Examples</A>
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<LI><A NAME="tex2html44"
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HREF="node18.html">User Interface</A>
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<LI><A NAME="tex2html45"
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HREF="node19.html">Method init</A>
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HREF="node20.html">Method set</A>
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HREF="node21.html">Method hierarchy_build</A>
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HREF="node22.html">Method smoothers_build</A>
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HREF="node23.html">Method build</A>
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HREF="node24.html">Method apply</A>
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HREF="node25.html">Method free</A>
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<LI><A NAME="tex2html52"
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HREF="node26.html">Method descr</A>
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HREF="node27.html">Auxiliary Methods</A>
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<LI><A NAME="tex2html54"
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HREF="node28.html">Method: dump</A>
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<LI><A NAME="tex2html55"
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HREF="node29.html">Method: clone</A>
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HREF="node30.html">Method: sizeof</A>
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HREF="node31.html">Method: allocate_wrk</A>
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<LI><A NAME="tex2html58"
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HREF="node32.html">Method: free_wrk</A>
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</UL>
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<LI><A NAME="tex2html59"
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HREF="node33.html">Adding new smoother and solver objects to MLD2P4</A>
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<LI><A NAME="tex2html60"
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HREF="node34.html">Error Handling</A>
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<LI><A NAME="tex2html61"
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HREF="node35.html">License</A>
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<LI><A NAME="tex2html62"
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HREF="node36.html">Bibliography</A>
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<LI><A NAME="tex2html63"
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HREF="node37.html">About this document ...</A>
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<TITLE>Abstract</TITLE>
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<META NAME="keywords" CONTENT="userhtml">
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<H1><A NAME="SECTION00010000000000000000">
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Abstract</A>
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</H1><BIG CLASS="LARGE"><BIG CLASS="LARGE"><BIG CLASS="LARGE">
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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
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BASED ON </SMALL>PSBLAS) is a package of parallel algebraic multilevel preconditioners.
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The first release of MLD2P4 made available multilevel additive and hybrid Schwarz
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preconditioners, as well as one-level additive Schwarz preconditioners. The package
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has been extended to include further multilevel cycles and smoothers widely used in
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multigrid methods. In the multilevel case, a purely algebraic approach is applied to
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generate coarse-level corrections, so that no geometric background is needed
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concerning the matrix to be preconditioned. The matrix is assumed to be square,
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real or complex.
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</BIG></BIG></BIG>
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<P>
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<BIG CLASS="LARGE"><BIG CLASS="LARGE"><BIG CLASS="LARGE">MLD2P4 has been designed to provide scalable and easy-to-use preconditioners
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in the context of the PSBLAS (Parallel Sparse Basic Linear Algebra Subprograms)
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computational framework and can be used in conjuction with the Krylov solvers
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available in this framework. MLD2P4 enables the user to easily specify different
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features of an algebraic multilevel preconditioner, thus allowing to search
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for the “best” preconditioner for the problem at hand.
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</BIG></BIG></BIG>
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<BIG CLASS="LARGE"><BIG CLASS="LARGE"><BIG CLASS="LARGE">The package employs object-oriented design techniques in
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Fortran 2003, with interfaces to additional third party libraries
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such as MUMPS, UMFPACK, SuperLU, and SuperLU_Dist, which
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can be exploited in building multilevel preconditioners. The parallel
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implementation is based on a Single Program Multiple Data (SPMD)
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paradigm; the inter-process communication is based on MPI and
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is managed mainly through PSBLAS.
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</BIG></BIG></BIG>
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<BIG CLASS="LARGE"><BIG CLASS="LARGE"><BIG CLASS="LARGE">This guide provides a brief description of the functionalities and
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<B> Next:</B> <A NAME="tex2html75"
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