THE APPROXIMATION OF THE EXACT BOUNDARY-CONDITIONS AT AN ARTIFICIAL BOUNDARY FOR LINEAR ELASTIC EQUATIONS AND ITS APPLICATION

被引:74
作者
HAN, H
WU, XN
机构
[1] TSING HUA UNIV,DEPT APPL MATH,BEIJING 100084,PEOPLES R CHINA
[2] CARNEGIE MELLON UNIV,DEPT MATH,PITTSBURGH,PA 15213
关键词
UNBOUNDED DOMAINS; ARTIFICIAL BOUNDARIES; APPROXIMATE BOUNDARY CONDITIONS AT AN ARTIFICIAL BOUNDARY;
D O I
10.2307/2152978
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The exterior boundary value problems of linear elastic equations are considered. A sequence of approximations to the exact boundary conditions at an artificial boundary is given. Then the original problem is reduced to a boundary value problem on a bounded domain. Furthermore, a finite element approximation of this problem and optimal error estimates are obtained. Finally, a numerical example shows the effectiveness of this method.
引用
收藏
页码:21 / 37
页数:17
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