Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2015, Number 4, Pages 57–61 (Mi vmumm255)  
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Numerical solution of boundary integral equations of the plane theory of elasticity in curvilinear polygons

I. O. Arushanyan

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: A numerical method for solving boundary integral equations of the plane theory of elasticity in domains with piecewise analytic boundaries and a finite number of corner points is proposed. This method is based on the application of a family of composite quadrature formulas on condensing grids. It is proved that the proposed method is exponentially convergent with respect to the number of quadrature nodes in use.
Key words: double-layer potential, boundary integral equations, theory of elasticity, corner points, condensing grids, quadrature method.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00096a
14-01-00731а
Received: 19.11.2014
English version:
Moscow University Mathematics Bulletin, 2015, Volume 70, Issue 4, Pages 193–196
DOI: https://doi.org/10.3103/S0027132215040099
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: I. O. Arushanyan, “Numerical solution of boundary integral equations of the plane theory of elasticity in curvilinear polygons”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 4, 57–61; Moscow University Mathematics Bulletin, 70:4 (2015), 193–196
Citation in format AMSBIB
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