標題: A-POSTERIORI FINITE-ELEMENT ERROR ESTIMATORS FOR INDEFINITE ELLIPTIC BOUNDARY-VALUE-PROBLEMS
作者: LIU, JL
RHEINBOLDT, WC
應用數學系
Department of Applied Mathematics
公開日期: 1994
摘要: A general construction technique is presented for a posteriori error estimators of finite element solutions of elliptic boundary value problems that satisfy a Garding inequality. The estimators are obtained by an element-by-element solution of 'weak residual' problems with or without considering element boundary residuals. There is no order restriction on the finite element spaces used for the approximate solution or the error estimation; that is, the design of the estimators is applicable in connection with either one of the h-, p-, or hp- formulations of the finite element method. Under suitable assumptions it is shown that the estimators are bounded by constant multiples of the true error in a suitable norm. Some numerical results are given to demonstrate the effectiveness and efficiency of the approach.
URI: http://hdl.handle.net/11536/2733
http://dx.doi.org/10.1080/01630569408816569
ISSN: 0163-0563
DOI: 10.1080/01630569408816569
期刊: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
Volume: 15
Issue: 3-4
起始頁: 335
結束頁: 356
Appears in Collections:Articles