Geodesic
Application of the boundary integral equation method to numerical solution of Dirichlet's boundary value problem in the elasticity theory on polygons
Numerical methods and programming, Tome 16 (2015) no. 1, pp. 78-85.

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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. 
@article{VMP_2015_16_1_a7,
     author = {I. O. Arushanyan},
     title = {Application of the boundary integral equation method to numerical solution of {Dirichlet's} boundary value problem in the elasticity theory on polygons},
     journal = {Numerical methods and programming},
     pages = {78--85},
     publisher = {mathdoc},
     volume = {16},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2015_16_1_a7/}
}
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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. Numerical methods and programming, Tome 16 (2015) no. 1, pp. 78-85. http://geodesic.mathdoc.fr/item/VMP_2015_16_1_a7/