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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 12, Pages 2253–2259 (Mi zvmmf9590)  
This article is cited in 5 scientific papers (total in 5 papers)

Behavior of solutions to elliptic boundary value problems in a neighborhood of corner points of discontinuity lines of the coefficients

A. N. Bogolyubov, I. E. Mogilevskii

Faculty of Physics, Moscow State University, Moscow, 119992 Russia
Full-text PDF (481 kB) Citations (5)
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Abstract: A representation of the solution to an elliptic boundary value problem in the vicinity of a corner point on the discontinuity line of the coefficient of the higher order derivative is constructed. The study is based on the method of additive separation of singularities proposed by Kondrat’ev.
Key words: elliptic boundary value problems, corner point on the discontinuity line, additive separation of singularities, numerical methods for singularity separation, waveguide problems.
Received: 30.06.2011
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 12, Pages 2121–2127
DOI: https://doi.org/10.1134/S0965542511120074
Bibliographic databases:
Document Type: Article
UDC: 519.632.4
Language: Russian
Citation: A. N. Bogolyubov, I. E. Mogilevskii, “Behavior of solutions to elliptic boundary value problems in a neighborhood of corner points of discontinuity lines of the coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 51:12 (2011), 2253–2259; Comput. Math. Math. Phys., 51:12 (2011), 2121–2127
Citation in format AMSBIB
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    • This publication is cited in the following 5 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:94
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