Numerical solution of boundary integral equations on curvilinear polygons / I. O. Arushanyan. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2014. № 4. P. 55-57 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].
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.
Key words: double-layer potential, boundary integral equations, corner points, condensing grids, quadrature method.