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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 7, Pages 1197–1206 (Mi zvmmf4718)  
This article is cited in 8 scientific papers (total in 8 papers)

Method of boundary integral equations as applied to the numerical solution of the three-dimensional Dirichlet problem for the laplace equation in a piecewise homogeneous medium

E. V. Zakharov, A. V. Kalinin

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia
Full-text PDF (1148 kB) Citations (8)
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Abstract: A Dirichlet problem is considered in a three-dimensional domain filled with a piecewise homogeneous medium. The uniqueness of its solution is proved. A system of Fredholm boundary integral equations of the second kind is constructed using the method of surface potentials, and a system of boundary integral equations of the first kind is derived directly from Green's identity. A technique for the numerical solution of integral equations is proposed, and results of numerical experiments are presented.
Key words: Dirichlet problem for the Laplace equation, piecewise homogeneous medium, method of boundary integral equations.
Received: 17.10.2008
Revised: 15.12.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 7, Pages 1141–1150
DOI: https://doi.org/10.1134/S0965542509070070
Bibliographic databases:
Document Type: Article
UDC: 519.632.4
Language: Russian
Citation: E. V. Zakharov, A. V. Kalinin, “Method of boundary integral equations as applied to the numerical solution of the three-dimensional Dirichlet problem for the laplace equation in a piecewise homogeneous medium”, Zh. Vychisl. Mat. Mat. Fiz., 49:7 (2009), 1197–1206; Comput. Math. Math. Phys., 49:7 (2009), 1141–1150
Citation in format AMSBIB
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\paper Method of boundary integral equations as applied to the numerical solution of the three-dimensional Dirichlet problem for the laplace equation in a~piecewise homogeneous medium
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\yr 2009
\vol 49
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\pages 1197--1206
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\jour Comput. Math. Math. Phys.
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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