Geodesic
A numerical solution of the Dirichlet problem on some special doubly connected regions
Applications of Mathematics, Tome 43 (1998) no. 1, pp. 53-76.

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The aim of this paper is to give a convergence proof of a numerical method for the Dirichlet problem on doubly connected plane regions using the method of reflection across the exterior boundary curve (which is analytic) combined with integral equations extended over the interior boundary curve (which may be irregular with infinitely many angular points).
DOI : 10.1023/A:1022296024669
Classification : 31A20, 31A25, 45B05, 65N99, 65R20
Keywords: Dirichlet problem; integral equations; numerical method 
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Dont, Miroslav; Dontová, Eva. A numerical solution of the Dirichlet problem on some special doubly connected regions. Applications of Mathematics, Tome 43 (1998) no. 1, pp. 53-76. doi : 10.1023/A:1022296024669. http://geodesic.mathdoc.fr/articles/10.1023/A:1022296024669/

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