VALIDATION OF A-POSTERIORI ERROR ESTIMATORS BY NUMERICAL APPROACH

Authors
BABUSKA I STROUBOULIS T UPADHYAY CS GANGARAJ SK COPPS K
Citation
I. Babuska et al., VALIDATION OF A-POSTERIORI ERROR ESTIMATORS BY NUMERICAL APPROACH, International journal for numerical methods in engineering, 37(7), 1994, pp. 1073-1123
Citations number
68
Categorie Soggetti
Computer Application, Chemistry & Engineering",Engineering,Mathematics
Journal title
International journal for numerical methods in engineering → ACNP
ISSN journal
00295981
Volume
37
Issue
7
Year of publication
1994
Pages
1073 - 1123
Database
ISI
SICI code
0029-5981(1994)37:7<1073:VOAEEB>2.0.ZU;2-L
Abstract
A numerical methodology which determines the quality (or robustness) o f a posteriori error estimators is described. The methodology accounts precisely for the factors which affect the quality of error estimator s for finite element solutions of linear elliptic problems, namely, th e local geometry of the grid and the structure of the solution. The me thodology can be employed to check the robustness of any estimator for the complex grids which are used in engineering computations.