Geodesic
The application of the boundary integral equation method to numerical solution of Dirichlet problem in domains with corner points
Numerical methods and programming, Tome 1 (2000) no. 1, pp. 1-7

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Dirichlet's problem in a domain with corner points is reduced to a boundary integral equation. In order to solve this problem numerically, we propose a method with exponential rate of convergence. An approach for computing the normal derivative of the solution to the problem is discussed. Some estimates for the number of arithmetic operations needed are given.
Keywords: quadrature method, boundary integral equations, Dirichlet problem, domains with corner points, condensing grids.
Mots-clés : quadratures 
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     author = {I. O. Arushanyan},
     title = {The application of the boundary integral equation method to numerical solution of {Dirichlet} problem in domains with corner points},
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     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/VMP_2000_1_1_a0/}
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I. O. Arushanyan. The application of the boundary integral equation method to numerical solution of Dirichlet problem in domains with corner points. Numerical methods and programming, Tome 1 (2000) no. 1, pp. 1-7. http://geodesic.mathdoc.fr/item/VMP_2000_1_1_a0/