Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2014, Number 4, Pages 55–57 (Mi vmumm337)  
This article is cited in 1 scientific paper (total in 1 paper)

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Numerical solution of boundary integral equations on curvilinear polygons

I. O. Arushanyan

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: An approximate method of solving the integral equation of the potential theory for the Dirichlet problem for the Laplace operator is proposed in the case when the domains are curvilinear polygons with piecewise analytic boundaries. The proposed method is exponentially convergent with respect to the number of quadrature nodes in use.
Key words: double-layer potential, boundary integral equations, corner points, condensing grids, quadrature method.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00767-а
12-01-00960-а
12-01-00283-а
12-01-91330-ННИО-а
Received: 22.11.2013
English version:
Moscow University Mathematics Bulletin, 2014, Volume 69, Issue 4, Pages 174–176
DOI: https://doi.org/10.3103/S0027132214040068
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: I. O. Arushanyan, “Numerical solution of boundary integral equations on curvilinear polygons”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 4, 55–57; Moscow University Mathematics Bulletin, 69:4 (2014), 174–176
Citation in format AMSBIB
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\by I.~O.~Arushanyan
\paper Numerical solution of boundary integral equations on curvilinear polygons
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2014
\issue 4
\pages 55--57
\mathnet{http://mi.mathnet.ru/vmumm337}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3372786}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2014
\vol 69
\issue 4
\pages 174--176
\crossref{https://doi.org/10.3103/S0027132214040068}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84926685543}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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