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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1979, Volume 19, Number 5, Pages 1205–1216 (Mi zvmmf5347)  
Asymptotic expansions of solutions of the Helmholtz equation in the neighbourhood of boundary corner points

V. I. Dymchenko

Leningrad
Full-text PDF (1043 kB)
Abstract: 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.
Received: 23.06.1978
English version:
USSR Computational Mathematics and Mathematical Physics, 1979, Volume 19, Issue 5, Pages 119–130
DOI: https://doi.org/10.1016/0041-5553(79)90103-4
Bibliographic databases:
Document Type: Article
UDC: 517.958, 535.4
MSC: Primary 35J25; Secondary 35J05, 35C20
Language: Russian
Citation: V. I. Dymchenko, “Asymptotic expansions of solutions of the Helmholtz equation in the neighbourhood of boundary corner points”, Zh. Vychisl. Mat. Mat. Fiz., 19:5 (1979), 1205–1216; U.S.S.R. Comput. Math. Math. Phys., 19:5 (1979), 119–130
Citation in format AMSBIB
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\by V.~I.~Dymchenko
\paper Asymptotic expansions of~solutions of~the Helmholtz equation in~the neighbourhood of~boundary corner points
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1979
\vol 19
\issue 5
\pages 1205--1216
\mathnet{http://mi.mathnet.ru/zvmmf5347}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=550106}
\zmath{https://zbmath.org/?q=an:0425.35039}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1979
\vol 19
\issue 5
\pages 119--130
\crossref{https://doi.org/10.1016/0041-5553(79)90103-4}
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