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124 lines
4.6 KiB
HTML
124 lines
4.6 KiB
HTML
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<H1><A NAME="SECTION00010000000000000000">
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Abstract</A>
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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 BASED ON
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</SMALL>PSBLAS) is a package of parallel algebraic multi-level preconditioners.
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It implements various versions of one-level additive and of multi-level additive
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and hybrid Schwarz algorithms. In the multi-level case, a purely algebraic approach
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is applied to 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, real
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or complex, with a symmetric sparsity pattern.
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<P>
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MLD2P4 has been designed to provide scalable and easy-to-use preconditioners in the
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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 aspects
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of a generic algebraic multilevel Schwarz preconditioner, thus allowing to search
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for the ``best'' preconditioner for the problem at hand.
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<P>
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The package has been designed employing object-oriented techniques,
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using Fortran 95, with interfaces to additional third party libraries
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such as UMFPACK, SuperLU and SuperLU_Dist, that
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can be exploited in building multi-level preconditioners. The parallel
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implementation is based on a Single Program Multiple Data (SPMD)
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paradigm for distributed-memory architectures; the inter-process data
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communication is based on MPI and is managed mainly through PSBLAS.
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<P>
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This guide provides a brief description of the functionalities and
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the user interface of MLD2P4.
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