Discrete qualocation methods for logarithmic-kernel integral equations on a piecewise smooth boundary

被引：0
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作者：
Y. Jeon
I.H. Sloan
E.P. Stephan
J. Elschner
机构：
[1] Ajou University,Department of Mathematics
[2] University of New South Wales,School of Mathematics
[3] Universität Hannover,Institut für Angewandte Mathematik
[4] Weierstraß-Institut für Angewandte Analysis und Stochastik,undefined
来源：
Advances in Computational Mathematics | 1997年 / 7卷
关键词：
discrete qualocation; Symm’s integral equation; piecewise smooth boundary; 65R20; 65N38;
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摘要：
We consider a fully discrete qualocation method for Symm’s integral equation. The method is that of Sloan and Burn (1992), for which a complete analysis is available in the case of smooth curves. The convergence for smooth curves can be improved by a subtraction of singularity (Jeon and Kimn, 1996). In this paper we extend these results for smooth boundaries to polygonal boundaries. The analysis uses a mesh grading transformation method for Symm’s integral equation, as in Elschner and Graham (1995) and Elschner and Stephan (1996), to overcome the singular behavior of solutions at corners.
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页码：547 / 571
页数：24
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