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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 6, Pages 1064–1080 (Mi zvmmf9464)  
This article is cited in 9 scientific papers (total in 9 papers)

Asymptotics of the solution of Laplace's equation with mixed boundary conditions

A. A. Ershov

Chelyabinsk State University, ul. Brat'ev Kashirinykh 129, Chelyabinsk, 454136 Russia
Full-text PDF (315 kB) Citations (9)
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Abstract: A uniform asymptotic expansion of the solution of a two-dimensional elliptic problem with mixed boundary conditions is found. A physical application of the result is discussed.
Key words: boundary value problem for Laplace's equation, asymptotic expansion of the solution, mixed boundary conditions.
Received: 18.10.2010
Revised: 03.11.2010
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 6, Pages 994–1010
DOI: https://doi.org/10.1134/S0965542511060066
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. A. Ershov, “Asymptotics of the solution of Laplace's equation with mixed boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 51:6 (2011), 1064–1080; Comput. Math. Math. Phys., 51:6 (2011), 994–1010
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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