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Salvatore Filippone
2017-09-15 11:17:32 +01:00
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@@ -55,12 +55,12 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Abstract</A>
</H1><FONT SIZE="+1"><FONT SIZE="+1"><FONT SIZE="+1">
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.
The first release of MLD2P4 made available multi-level additive and hybrid Schwarz
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 multilevel preconditioners.
The first release of MLD2P4 made available multilevel additive and hybrid Schwarz
preconditioners, as well as one-level additive Schwarz preconditioners. The package
has been extended to include further multi-level cycles and smoothers widely used in
multigrid methods. In the multi-level case, a purely algebraic approach is applied to
has been extended to include further multilevel cycles and smoothers widely used in
multigrid methods. In the multilevel 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.
@@ -70,14 +70,14 @@ real or complex.
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
features of an algebraic multi-level preconditioner, thus allowing to search
features of an algebraic multilevel preconditioner, thus allowing to search
for the ``best'' preconditioner for the problem at hand.
</FONT></FONT></FONT>
<P>
<FONT SIZE="+1"><FONT SIZE="+1"><FONT SIZE="+1">The package employs object-oriented design techniques in
Fortran&nbsp;2003, with interfaces to additional third party libraries
such as MUMPS, UMFPACK, SuperLU, and SuperLU_Dist, which
can be exploited in building multi-level preconditioners. The parallel
can be exploited in building multilevel preconditioners. The parallel
implementation is based on a Single Program Multiple Data (SPMD)
paradigm; the inter-process communication is based on MPI and
is managed mainly through PSBLAS.