About a local grid method of a solution of Laplace’s equation in the infinite rectangular cylinder
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 1, pp. 97-104
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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.
@article{ZVMMF_2012_52_1_a8,
author = {E. A. Volkov},
title = {About a local grid method of a solution of {Laplace{\textquoteright}s} equation in the infinite rectangular cylinder},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {97--104},
publisher = {mathdoc},
volume = {52},
number = {1},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_1_a8/}
}
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E. A. Volkov. About a local grid method of a solution of Laplace’s equation in the infinite rectangular cylinder. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 1, pp. 97-104. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_1_a8/