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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2015, Number 4, Pages 57–61
(Mi vmumm255)
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Short notes
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
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.
Received: 19.11.2014
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
Linking options:
https://www.mathnet.ru/eng/vmumm255 https://www.mathnet.ru/eng/vmumm/y2015/i4/p57
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Abstract page: | 68 | Full-text PDF : | 26 | References: | 22 |
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