Geodesic
Numerical solution of boundary integral equations of the plane theory of elasticity in curvilinear polygons
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2015), pp. 57-61

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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. 
@article{VMUMM_2015_4_a10,
     author = {I. O. Arushanyan},
     title = {Numerical solution of boundary integral equations of the plane theory of elasticity in curvilinear polygons},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {57--61},
     publisher = {mathdoc},
     number = {4},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2015_4_a10/}
}
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I. O. Arushanyan. Numerical solution of boundary integral equations of the plane theory of elasticity in curvilinear polygons. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2015), pp. 57-61. http://geodesic.mathdoc.fr/item/VMUMM_2015_4_a10/