Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2012, Volume 15, Number 2, Pages 223–228 (Mi sjvm474)  
Iterative solver for systems of linear equations with a sparse stiffness matrix for clusters

A. A. Kalinkinab, Yu. M. Laevskyab

a Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University, Novosibirsk
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Abstract: In this paper, a package of programs for solving systems of linear equations with a sparse matrix for computers with distributed memory is proposed. This package is based on the iterative algorithm for solving the initial system of equations with preconditioner constructed using the algebraic domain decomposition. Such an approach makes possible to multiply by the preconditioner and a stiffness matrix on cluster. Also, to improve the efficiency of computation, PARDISO and SparseBlas functionalities from Intel$\circledR$MKL library are used on each process. In addition to parallelization among processes, this package uses OpenMP parallelization on each of these processes as well as Intel$\circledR$MKL internal functional parallelization.
Key words: sparse solver, domain decomposition, parallelization, MPI and OpenMP.
Received: 06.10.2011
Revised: 17.01.2012
English version:
Numerical Analysis and Applications, 2012, Volume 5, Issue 2, Pages 182–186
DOI: https://doi.org/10.1134/S1995423912020139
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. A. Kalinkin, Yu. M. Laevsky, “Iterative solver for systems of linear equations with a sparse stiffness matrix for clusters”, Sib. Zh. Vychisl. Mat., 15:2 (2012), 223–228; Num. Anal. Appl., 5:2 (2012), 182–186
Citation in format AMSBIB
\Bibitem{KalLae12}
\by A.~A.~Kalinkin, Yu.~M.~Laevsky
\paper Iterative solver for systems of linear equations with a~sparse stiffness matrix for clusters
\jour Sib. Zh. Vychisl. Mat.
\yr 2012
\vol 15
\issue 2
\pages 223--228
\mathnet{http://mi.mathnet.ru/sjvm474}
\transl
\jour Num. Anal. Appl.
\yr 2012
\vol 5
\issue 2
\pages 182--186
\crossref{https://doi.org/10.1134/S1995423912020139}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862153244}
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