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Matematicheskoe modelirovanie, 2014, Volume 26, Number 1, Pages 55–68 (Mi mm3438)  
This article is cited in 18 scientific papers (total in 18 papers)

Parallel multigrid method for solving elliptic equations

V. T. Zhukov, N. D. Novikova, O. B. Feodoritova

Keldysh Institute of Applied Mathematics
Full-text PDF (386 kB) Citations (18)
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Abstract: Proposed algorithm represents an efficient parallel implementation of the multigrid method of R. P. Fedorenko and is intended for solving three-dimensional elliptic equations. Scalability is provided by the usage of the Chebyshev iteration for solution of the coarsest grid equations and for construction of the smoothing procedures. The calculation results are given; they confirm the efficiency of the algorithm and scalability of the parallel code.
Keywords: numerical simulation, three-dimensional elliptic equations, multigrid, Chebyshev iteration, parallel implementation.
Received: 11.02.2013
English version:
Mathematical Models and Computer Simulations, 2014, Volume 6, Issue 4, Pages 425–434
DOI: https://doi.org/10.1134/S2070048214040103
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: V. T. Zhukov, N. D. Novikova, O. B. Feodoritova, “Parallel multigrid method for solving elliptic equations”, Matem. Mod., 26:1 (2014), 55–68; Math. Models Comput. Simul., 6:4 (2014), 425–434
Citation in format AMSBIB
\Bibitem{ZhuNovFeo14}
\by V.~T.~Zhukov, N.~D.~Novikova, O.~B.~Feodoritova
\paper Parallel multigrid method for solving elliptic equations
\jour Matem. Mod.
\yr 2014
\vol 26
\issue 1
\pages 55--68
\mathnet{http://mi.mathnet.ru/mm3438}
\transl
\jour Math. Models Comput. Simul.
\yr 2014
\vol 6
\issue 4
\pages 425--434
\crossref{https://doi.org/10.1134/S2070048214040103}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84921842527}
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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    References:91
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