Abstract
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).
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Dont, M., Dontová, E. A numerical solution of the dirichlet problem on some special doubly connected regions. Applications of Mathematics 43, 53–76 (1998). https://doi.org/10.1023/A:1022296024669
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DOI: https://doi.org/10.1023/A:1022296024669