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: http://num-meth.srcc.msu.ru/english/zhurnal/tom_2015/v16r105.html
Дата изменения: Mon Jan 26 15:10:14 2015 Дата индексирования: Sun Apr 10 02:49:42 2016 Кодировка: IBM-866 |
"A parallel algorithm for solving 2D Poisson's equation in the context
of nonstationary problems" Snytnikov N.V. |
A new parallel method to solve the Dirichlet problem for Poisson's equation in the context of nonstationary problems of mathematical physics is proposed. This method is based on a decomposition of a rectangular Cartesian domain in one direction, on a direct method of solving Poisson's equation in each subdomain, and on the coupling of the subdomains using a fast procedure for evaluating a single layer potential. A number of test experiments conducted on supercomputers installed at Joint Supercomputing Center of Russian Academy of Sciences and at Siberian Supercomputing Center show a good weak and strong scalability of the parallel algorithm. Keywords: Poisson's equation, Dirichlet problem, domain decomposition, gravitational potential, stellar dynamics, parallel programming, scalability of algorithms.
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