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 Num. Meth. Prog., 2015, Volume 16, Issue 1, Pages 78–85 (Mi vmp520)

Application of the boundary integral equation method to numerical solution of Dirichlet's boundary value problem in the elasticity theory on polygons

I. O. Arushanyan

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: Dirichlet's boundary value problem of the two-dimensional elasticity theory is considered for domains with a finite number of corner points. This problem is put in correspondence with a system of boundary integral equations used in the potential theory. An approach to the efficient approximate solution of the original boundary value problem by numerical solving the system of boundary integral equations is proposed.

Keywords: Dirichlet's boundary value problem, double-layer potential, potential theory, boundary integral equations, corner points, quadrature method, two-dimensional theory of elasticity.

Full text: PDF file (214 kB)
UDC: 519.6

Citation: I. O. Arushanyan, “Application of the boundary integral equation method to numerical solution of Dirichlet's boundary value problem in the elasticity theory on polygons”, Num. Meth. Prog., 16:1 (2015), 78–85

Citation in format AMSBIB
\Bibitem{Aru15} \by I.~O.~Arushanyan \paper Application of the boundary integral equation method to numerical solution of Dirichlet's boundary value problem in the elasticity theory on polygons \jour Num. Meth. Prog. \yr 2015 \vol 16 \issue 1 \pages 78--85 \mathnet{http://mi.mathnet.ru/vmp520}