A posteriori error estimator for finite element discretizations of quasi-Newtonian Stokes flows
Abdellatif Agouzal 11 U.M.R. 5585 - Equipe de Mathématiques appliées de Lyon. Université de Lyon 1. Bât. 101, 69 622 Villeurbanne Cedex - France
Received by the editors May 13, 2004 and, in revised form, August 24, 2004
In this paper, we consider mixed finite elements discretizations of a class of Quasi-Newtonian Stokes flow problem. Unified a posteriori error estimator for conforming, nonconforming, with or without stabilization is obtained. We prove, without Helmholtz decomposition of the error, nor regularity and saturation assumptions, the reliability and the efficiency of our estimator.
AMS subject classifications: 65N30
Key words: Quasi-Newtonian flow; conforming; nonconforming and mixed finite element; a posteriori error estimator