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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 7, Pages 1057–1070 (Mi zvmmf3234)  
This article is cited in 2 scientific papers (total in 2 papers)

A rigorous justification and estimation of the rate of convergence for the partial domain method in two-dimensional eigenvalue problems for the Laplace operator

L. T. Poznyak

Leningrad
Full-text PDF (1437 kB) Citations (2)
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Abstract: The partial domain method for problems of the type indicated in the title of this paper is treated as a version either of Weinstein's method of intermediate problems or of the Ritz method. This yields a rigorous justification of the method and enables one to estimate its rate of convergence. The justification technique is demonstrated in detail for the problem of the normal modes of an $\mathrm L$-shaped membrane clamped at its edges.
Received: 27.12.1988
Revised: 12.12.1989
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 4, Pages 66–75
DOI: https://doi.org/10.1016/0041-5553(90)90045-T
Bibliographic databases:
Document Type: Article
UDC: 519.63
MSC: Primary 65N25; Secondary 65N30, 35P15, 35J05
Language: Russian
Citation: L. T. Poznyak, “A rigorous justification and estimation of the rate of convergence for the partial domain method in two-dimensional eigenvalue problems for the Laplace operator”, Zh. Vychisl. Mat. Mat. Fiz., 30:7 (1990), 1057–1070; U.S.S.R. Comput. Math. Math. Phys., 30:4 (1990), 66–75
Citation in format AMSBIB
\Bibitem{Poz90}
\by L.~T.~Poznyak
\paper A~rigorous justification and estimation of the rate of convergence for the partial domain method in two-dimensional eigenvalue problems for the Laplace operator
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 7
\pages 1057--1070
\mathnet{http://mi.mathnet.ru/zvmmf3234}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1070550}
\zmath{https://zbmath.org/?q=an:0708.65099}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 4
\pages 66--75
\crossref{https://doi.org/10.1016/0041-5553(90)90045-T}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:76
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