ELEMENT-ORIENTED AND EDGE-ORIENTED LOCAL ERROR ESTIMATORS FOR NONCONFORMING FINITE-ELEMENT METHODS

Authors
HOPPE RHW WOHLMUTH B
Citation
Rhw. Hoppe et B. Wohlmuth, ELEMENT-ORIENTED AND EDGE-ORIENTED LOCAL ERROR ESTIMATORS FOR NONCONFORMING FINITE-ELEMENT METHODS, Modelisation mathematique et analyse numerique, 30(2), 1996, pp. 237-263
Citations number
14
Categorie Soggetti
Mathematics,Mathematics
Journal title
Modelisation mathematique et analyse numerique → ACNP
ISSN journal
0764583X
Volume
30
Issue
2
Year of publication
1996
Pages
237 - 263
Database
ISI
SICI code
0764-583X(1996)30:2<237:EAELEE>2.0.ZU;2-X
Abstract
We consider easily computable and reliable error estimators for the ap proximation of linear elliptic boundary value problems by nonconformin g finite element methods. In particular we develop both element-orient ed and edge-oriented estimators providing lower and upper bounds for t he global discretization error. The focal contributions of these estim ators may serve as indicators for local refinement within an adaptive framework.