The solution of Laplacian problems over L-shaped domains with a singular function boundary integral method

被引：30

作者：

Elliotis, M

Georgiou, G

Xenophontos, C

机构：

[1] Univ Cyprus, Dept Math & Stat, Nicosia, Cyprus

[2] Loyola Coll, Dept Math Sci, Baltimore, MD 21210 USA

来源：

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 2002年 / 18卷 / 03期

关键词：

Laplace equation; corner singularities; stress intensity factors; boundary integral method;

D O I：

10.1002/cnm.489

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The singular function boundary integral method is applied for the solution of a Laplace equation problem over an L-shaped domain. The solution is approximated by the leading terms of the local asymptotic solution expansion, while the Dirichlet boundary conditions are weakly enforced by means of Lagrange multipliers. Estimates of great accuracy are obtained for the leading singular coefficients, as well as for the Lagrange multipliers. Comparisons are made with recent numerical results in the literature. Copyright (C) 2002 John Wiley Sons, Ltd.

引用

页码：213 / 222

页数：10

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