ITERATIVE SOLUTION OF LINEAR-SYSTEMS ARISING FROM THE BOUNDARY INTEGRAL METHOD

被引：22

作者：

ATKINSON, KE ^{[1
]}

GRAHAM, IG ^{[1
]}

机构：

[1] UNIV BATH,SCH MATH SCI,BATH BA2 7AY,AVON,ENGLAND

来源：

SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING | 1992年 / 13卷 / 03期

关键词：

BOUNDARY INTEGRAL EQUATION; LINEAR SYSTEMS; ITERATION METHODS;

D O I：

10.1137/0913041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper the behavior of some standard two-grid iterative schemes for the solution of linear systems arising from discretizations of second-kind boundary integral equations of potential theory is studied. When the boundary of the domain has comers, these schemes converge slowly, and in some cases even diverge. New iterative schemes are derived which always converge, and estimates for the accuracy of the solution to which they converge are given. Extensive numerical experiments are reported and discussed.

引用

页码：694 / 722

页数：29

共 18 条

[1]

ASWON M, 1977, INTEGRAL EQUATION ME

[2] THE NUMERICAL-SOLUTION OF LAPLACES-EQUATION ON A WEDGE [J].