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Preprints of the Keldysh Institute of Applied Mathematics, 2012, 076, 36 pp. (Mi ipmp94)  

This article is cited in 7 scientific papers (total in 7 papers)

Parallel multigrid method for elliptic difference equations. Anisotropic diffusion

V. T. Zhukov, N. D. Novikova, O. B. Feodoritova
Full-text PDF (436 kB) Citations (7)
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Abstract: Parallel multigrid method for elliptic difference equations. Anisotropic diffusion We present the development of the parallel multigrid algorithm [1] for solving three-dimensional elliptic difference equations. This algorithm exhibits scalability in the calculation of isotropic problems on multiprocessor supercomputers. Here we improve efficiency of the algorithm for solving anisotropic problems which are typical in applications for modeling the processes of diffusion, heat conduction, fluid dynamics, etc. The developed algorithm is a parallel implementation of the classical multigrid of R.P. Fedorenko for boundary-value problems of the first, second and third kinds, including semi-definite Neumann problem. The algorithm is based on the explicit Chebyshev iterations for solving the coarsest grid equations and to construct smoothing procedures. We develop the adaptive smoothers for anisotropy problems, and show that the multigrid provides efficiency and scalability in parallel implementation.
Document Type: Preprint
Language: Russian
Citation: V. T. Zhukov, N. D. Novikova, O. B. Feodoritova, “Parallel multigrid method for elliptic difference equations. Anisotropic diffusion”, Keldysh Institute preprints, 2012, 076, 36 pp.
Citation in format AMSBIB
\Bibitem{ZhuNovFeo12}
\by V.~T.~Zhukov, N.~D.~Novikova, O.~B.~Feodoritova
\paper Parallel multigrid method for elliptic difference equations. Anisotropic diffusion
\jour Keldysh Institute preprints
\yr 2012
\papernumber 076
\totalpages 36
\mathnet{http://mi.mathnet.ru/ipmp94}
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  • https://www.mathnet.ru/eng/ipmp/y2012/p76
  • This publication is cited in the following 7 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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    Full-text PDF :167
    References:71
     
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