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Preprints of the Keldysh Institute of Applied Mathematics, 2014, 028, 36 pp. (Mi ipmp1880)  

This article is cited in 3 scientific papers (total in 3 papers)

On multigrid and explicit-iterative methods for parabolic equations

V. T. Zhukov, N. D. Novikova, O. B. Feodoritova
References:
Abstract: Parallel solvers for three-dimensional parabolic equations are required for scalable simulation of diffusion and heat conduction on supercomputers with a large number of processors. Two parallel schemes of numerical integration are studied in this paper. The first one is the implicit scheme, resolved by the multigrid. The second one is based on explicit Chebyshev iterations. The results of numerical experiments are given for model problems including case of discontinuous coefficients. Computations show these techniques provide high parallel efficiency and allow to overcome scalability challenges in preparation for exascale.
Keywords: three-dimensional parabolic equations, multigrid, Chebyshev's iterations, parallel implementation.
Document Type: Preprint
Language: Russian
Citation: V. T. Zhukov, N. D. Novikova, O. B. Feodoritova, “On multigrid and explicit-iterative methods for parabolic equations”, Keldysh Institute preprints, 2014, 028, 36 pp.
Citation in format AMSBIB
\Bibitem{ZhuNovFeo14}
\by V.~T.~Zhukov, N.~D.~Novikova, O.~B.~Feodoritova
\paper On multigrid and explicit-iterative methods for parabolic equations
\jour Keldysh Institute preprints
\yr 2014
\papernumber 028
\totalpages 36
\mathnet{http://mi.mathnet.ru/ipmp1880}
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  • https://www.mathnet.ru/eng/ipmp/y2014/p28
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Препринты Института прикладной математики им. М. В. Келдыша РАН
     
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