A HIERARCHICAL A-POSTERIORI ERROR ESTIMATOR - ITS APPLICATION TO MIXED FINITE-ELEMENTS

Authors
ACHCHAB B AGOUZAL A BARANGER J MAITRE JF
Citation
B. Achchab et al., A HIERARCHICAL A-POSTERIORI ERROR ESTIMATOR - ITS APPLICATION TO MIXED FINITE-ELEMENTS, Numerische Mathematik, 80(2), 1998, pp. 159-179
Citations number
16
Categorie Soggetti
Mathematics,Mathematics
Journal title
Numerische Mathematik → ACNP
ISSN journal
0029599X
Volume
80
Issue
2
Year of publication
1998
Pages
159 - 179
Database
ISI
SICI code
0029-599X(1998)80:2<159:AHAEE->2.0.ZU;2-C
Abstract
We propose a generalisation of the hierarchical a posteriori error est imator of Bank-Weiser to mixed formulations, in the cases of conformin g and non conforming approximations, with or without numerical integra tion. We present as examples of application: the Dirichlet problem for the Laplace operator, in mixed dual formulation, with and without num erical integration.