| Issue |
ESAIM: M2AN
Volume 33, Number 3, May June 1999
|
|
|---|---|---|
| Page(s) | 459 - 478 | |
| DOI | https://doi.org/10.1051/m2an:1999147 | |
| Published online | 15 August 2002 | |
Formulations Mixtes Augmentées et Applications
Laboratoire d'Analyse Numérique, CNRS UMR 5585,
Université Claude Bernard Lyon 1, 43 bd. du 11 Novembre 1918,
69622 Villeurbanne Cedex, France.
Received:
9
June
1997
Revised:
30
June
1998
We propose and analyse a abstract framework for augmented mixed formulations. We give a priori error estimate in the general case: conforming and nonconforming approximations with or without numerical integration. Finally, a posteriori error estimator is given. An example of stabilized formulation for Stokes problem is analysed.
Résumé
On propose un cadre abstrait assez général, de formulations mixtes augmentées conformes ou non conformes, avec ou sans intégration numérique ; on fait l'analyse d'erreur a priori, et on propose des estimations d'erreur a posteriori pour ce genre de formulation, sans condition de compatibilité sur les espaces discrets. On traite un exemple de formulation stabilisée du problème de Stokes.
Mathematics Subject Classification: 65N30
Key words: Mixed formulation / a posteriori error estimators.
© EDP Sciences, SMAI, 1999
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.