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Formulations Mixtes Augmentées et Applications

Published online by Cambridge University Press:  15 August 2002

Boujemâa Achchab  and
Abdellatif AGOUZAL
Boujemâa Achchab
Affiliation:
Laboratoire d'Analyse Numérique, CNRS UMR 5585, Université Claude Bernard Lyon 1, 43 bd. du 11 Novembre 1918, 69622 Villeurbanne Cedex, France.
Abdellatif AGOUZAL
Affiliation:
Laboratoire d'Analyse Numérique, CNRS UMR 5585, Université Claude Bernard Lyon 1, 43 bd. du 11 Novembre 1918, 69622 Villeurbanne Cedex, France.
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Abstract

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.

Keywords

Mixed formulationa posteriori error estimators.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 33 , Issue 3 , May 1999 , pp. 459 - 478
Copyright
© EDP Sciences, SMAI, 1999

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