A-POSTERIORI POINTWISE UPPER BOUND ERROR-ESTIMATES IN THE FINITE-ELEMENT METHOD

被引：13
|
作者：
YANG, JD
KELLY, DW
ISLES, JD
机构：
[1] School of Mechanical and Manufacturing Engineering, University of New South Wales, Sydney, New South Wales, 2033, P.O. Box 1, Kensington
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 1993年 / 36卷 / 08期
关键词：
D O I：
10.1002/nme.1620360803
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
An error estimate for the finite element method is presented in this paper. The error is identified as the response to a set of residual forces, and a complementary analysis provides an upper bound estimate of the global energy of the error. The inequality proposed by Babuska and Miller1 is then employed to bound the error in stress and displacement at a point. The formula is derived for two-dimensional elasticity, but the procedure is general; and can be applied to three-dimensional and other problems. Numerical experiments using the procedure are carried out and the results are given for the four-node bilinear compatible element and plane stress.
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页码：1279 / 1298
页数：20
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