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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 7, Pages 1168–1182
DOI: https://doi.org/10.7868/S0044466915070133 (Mi zvmmf10235) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Multigrid method for elliptic equations with anisotropic discontinuous coefficients

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

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia
Full-text PDF (268 kB) Citations (13)
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DOI: https://doi.org/10.7868/S0044466915070133
Abstract: For difference elliptic equations, an algorithm based on Fedorenko’s multigrid method is constructed. The algorithm is intended for solving three-dimensional boundary value problems for equations with anisotropic discontinuous coefficients on parallel computers. Numerical results confirming the performance and parallel efficiency of the multigrid algorithm are presented. These qualities are ensured by using, as a multigrid triad, the standard Chebyshev iteration for coarsest grid equations, Chebyshev-type smoothing explicit iterative procedures, and intergrid transfer operators in problem-dependent form.
Key words: three-dimensional elliptic equations, anisotropic discontinuous coefficients, multigrid method, Chebyshev iteration method, parallel implementation.
Received: 03.09.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 7, Pages 1150–1163
DOI: https://doi.org/10.1134/S0965542515070131
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: V. T. Zhukov, N. D. Novikova, O. B. Feodoritova, “Multigrid method for elliptic equations with anisotropic discontinuous coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 55:7 (2015), 1168–1182; Comput. Math. Math. Phys., 55:7 (2015), 1150–1163
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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