Gradient recovery type a posteriori error estimates for finite element approximations on irregular meshes

Authors
Yan, NN Zhou, AH
Citation
Nn. Yan et Ah. Zhou, Gradient recovery type a posteriori error estimates for finite element approximations on irregular meshes, COMPUT METH, 190(32-33), 2001, pp. 4289-4299
Citations number
30
Categorie Soggetti
Mechanical Engineering
Journal title
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
ISSN journal
00457825 → ACNP
Volume
190
Issue
32-33
Year of publication
2001
Pages
4289 - 4299
Database
ISI
SICI code
0045-7825(2001)190:32-33<4289:GRTAPE>2.0.ZU;2-S
Abstract
In this paper, the gradient recovery type a posteriori error estimators for finite element approximations are proposed for irregular meshes. Both the global and the local a posteriori error estimates are derived. Moreover, it is shown that the a posteriori error estimates is asymptoticaily exact on where the mesh is regular enough and the exact solution is smooth. (C) 2001 Elsevier Science B.V. All rights reserved.