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

被引：0

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;

D O I：

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中图分类号：

学科分类号：

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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