A LEAST-SQUARE PRINCIPLE FOR THE A POSTERIORI COMPUTATION OF FINITE-ELEMENT APPROXIMATION ERRORS

被引：1
|
作者：
MEISSNER, U
WIBBELER, H
机构：
[1] Institute for Structural and Numerical Mechanics, University Hannover, D-3000 Hannover 1
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1991年 / 85卷 / 01期
关键词：
D O I：
10.1016/0045-7825(91)90124-O
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The contribution supplies a modification and extension of well-known theories for the numerical error estimation. The presented theory is applied to the stress analysis of membrane plates. A least square variational principle is used to formulate a higher order approximation of finite element errors by means of the h- or p-version. The numerical method is applied to individual finite element patches in order to improve stresses and to compute mean errors within these subdomains. Numerical studies with the h-version are presented in comparison to an exact solution of a specific plate problem.
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页码：89 / 108
页数：20
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