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

页码：1356 / 1374

页数：19

共 16 条

[1]

[Anonymous], 1969, MATH THEORY VISCOUS

[2]

BARTA E, MOTION RIGID PARTICL

[3] CAUCHY INTEGRALS ON LIPSCHITZ CURVES AND RELATED OPERATORS [J].