Source: http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=mm&paperid=3438&option_lang=eng
Timestamp: 2019-04-24 19:35:07+00:00

Document:
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.
V. T. Zhukov, N. D. Novikova, O. B. Feodoritova, “O mnogosetochnom i yavno-iteratsionnom metodakh resheniya parabolicheskikh uravnenii”, Preprinty IPM im. M. V. Keldysha, 2014, 028, 36 pp.
V. T. Zhukov, M. M. Krasnov, N. D. Novikova, O. B. Feodoritova, “Parallelnyi mnogosetochnyi metod: sravnenie effektivnosti na sovremennykh vychislitelnykh arkhitekturakh”, Preprinty IPM im. M. V. Keldysha, 2014, 031, 22 pp.
V. T. Zhukov, N. D. Novikova, O. B. Feodoritova, “O primenenii mnogosetochnogo i yavno-iteratsionnogo metodov k resheniyu parabolicheskikh uravnenii s anizotropnymi razryvnymi koeffitsientami”, Preprinty IPM im. M. V. Keldysha, 2014, 085, 24 pp.
V. T. Zhukov, M. M. Krasnov, N. D. Novikova, O. B. Feodoritova, “Algebraicheskii mnogosetochnyi metod c adaptivnymi sglazhivatelyami na osnove mnogochlenov Chebysheva”, Preprinty IPM im. M. V. Keldysha, 2016, 113, 32 pp.

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