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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 1, Pages 97–104
(Mi zvmmf9639)
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About a local grid method of a solution of Laplace’s equation in the infinite rectangular cylinder
E. A. Volkov Steklov Mathematical Institute, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Abstract:
The Dirichlet problem for Laplace’s equation on an infinite rectangular cylinder is considered. The main goal is to develop a grid method for finding an approximate solution of the Dirichlet problem in a finite part of the infinite cylinder without solving the entire problem. The underlying idea is that the influence of the boundary values on the solution at a fixed point of the domain decreases as the boundary moves away.
Key words:
numerical solution of Laplace’s equation, convergence of grid solutions, domain in the form of an infinite rectangular cylinder.
Received: 19.07.2011
Citation:
E. A. Volkov, “About a local grid method of a solution of Laplace’s equation in the infinite rectangular cylinder”, Zh. Vychisl. Mat. Mat. Fiz., 52:1 (2012), 97–104; Comput. Math. Math. Phys., 52:1 (2012), 90–97
Linking options:
https://www.mathnet.ru/eng/zvmmf9639 https://www.mathnet.ru/eng/zvmmf/v52/i1/p97
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Statistics & downloads: |
Abstract page: | 404 | Full-text PDF : | 93 | References: | 54 | First page: | 19 |
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