Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 5, pp. 1205-1216
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V. I. Dymchenko. Asymptotic expansions of solutions of the Helmholtz equation in the neighbourhood of boundary corner points. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 5, pp. 1205-1216. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_5_a11/
@article{ZVMMF_1979_19_5_a11,
author = {V. I. Dymchenko},
title = {Asymptotic expansions of~solutions of~the {Helmholtz} equation in~the neighbourhood of~boundary corner points},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1205--1216},
year = {1979},
volume = {19},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_5_a11/}
}
TY - JOUR
AU - V. I. Dymchenko
TI - Asymptotic expansions of solutions of the Helmholtz equation in the neighbourhood of boundary corner points
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1979
SP - 1205
EP - 1216
VL - 19
IS - 5
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_5_a11/
LA - ru
ID - ZVMMF_1979_19_5_a11
ER -
%0 Journal Article
%A V. I. Dymchenko
%T Asymptotic expansions of solutions of the Helmholtz equation in the neighbourhood of boundary corner points
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1979
%P 1205-1216
%V 19
%N 5
%U http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_5_a11/
%G ru
%F ZVMMF_1979_19_5_a11
Complete asymptotic expansions are obtained, assuming that a piece of boundary consists of straight line segments. The Dirichlet, Neumann, and mixed boundary value problems are considered. A numerical example shows that expansions are worth using in approximate methods.
