Geodesic
Numerical solution of boundary integral equations on curvilinear polygons
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2014), pp. 55-57

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An approximate method of solving the integral equation of the potential theory for the Dirichlet problem for the Laplace operator is proposed in the case when the domains are curvilinear polygons with piecewise analytic boundaries. The proposed method is exponentially convergent with respect to the number of quadrature nodes in use. 
@article{VMUMM_2014_4_a8,
     author = {I. O. Arushanyan},
     title = {Numerical solution of boundary integral equations on curvilinear polygons},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {55--57},
     publisher = {mathdoc},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2014_4_a8/}
}
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I. O. Arushanyan. Numerical solution of boundary integral equations on curvilinear polygons. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2014), pp. 55-57. http://geodesic.mathdoc.fr/item/VMUMM_2014_4_a8/