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 Zh. Vychisl. Mat. Mat. Fiz., 2012, Volume 52, Number 1, Pages 97–104 (Mi zvmmf9639)

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

 Funding Agency Grant Number Russian Foundation for Basic Research 11-01-00744 Ministry of Education and Science of the Russian Federation ÍØ-65772.2010.1 Russian Academy of Sciences - Federal Agency for Scientific Organizations

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English version:
Computational Mathematics and Mathematical Physics, 2012, 52:1, 90–97

Bibliographic databases:

UDC: 519.632.4

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

Citation in format AMSBIB
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