LOCALIZED GALERKIN ESTIMATES FOR BOUNDARY INTEGRAL-EQUATIONS ON LIPSCHITZ-DOMAINS

被引：4
|
作者：
ADOLFSSON, V
GOLDBERG, M
JAWERTH, B
LENNERSTAD, H
机构：
[1] UNIV S CAROLINA,DEPT MATH,COLUMBIA,SC 29208
[2] CHALMERS UNIV TECHNOL,DEPT MATH,S-41296 GOTHENBURG,SWEDEN
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1992年 / 23卷 / 05期
关键词：
GALERKIN METHODS; NONSMOOTH; LIPSCHITZ; DOUBLE LAYER POTENTIAL; SYSTEMS OF EQUATIONS;
D O I：
10.1137/0523078
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Galerkin method is studied for solving the boundary integral equations associated with the Laplace operator on nonsmooth domains. Convergence is established with a condition on the meshsize, which involves the local curvature on certain approximating domains. Error estimates are also proved, and the results are generalized to systems of equations.
引用
收藏
页码：1356 / 1374
页数：19
相关论文
共 50 条
12345