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Numerical methods and programming, 2016, Volume 17, Issue 1, Pages 72–80
(Mi vmp817)
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New approaches to the development of highly efficient parallel algorithms for numerical solution of boundary value problems on structured grids
V. M. Volokhov, S. I. Martynenko, P. D. Toktaliev, L. S. Yanovskii, A. V. Volokhov Institute of Problems of Chemical Physics, Russian Academy of Sciences, Chernogolovka, Moscow region
Abstract:
New approaches to the development of highly efficient parallel algorithms for numerical solution of boundary value problems are considered. The previously proposed robust multigrid technique (a single grid version of the Seidel method for solving a large class of applied problems with close-to-optimal computational efforts) is taken as a basic algorithm. Two approaches for the parallelization of computations based on combined and purely geometric preconditioning are studied. Advantages of these approaches compared to traditional methods of constructing parallel algorithms are shown. Several estimates for the parallelism efficiency are proposed.
Keywords:
parallel computing, boundary value problems, multigrid methods.
Received: 17.02.2016
Citation:
V. M. Volokhov, S. I. Martynenko, P. D. Toktaliev, L. S. Yanovskii, A. V. Volokhov, “New approaches to the development of highly efficient parallel algorithms for numerical solution of boundary value problems on structured grids”, Num. Meth. Prog., 17:1 (2016), 72–80
Linking options:
https://www.mathnet.ru/eng/vmp817 https://www.mathnet.ru/eng/vmp/v17/i1/p72
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Abstract page: | 153 | Full-text PDF : | 49 |
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