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Int. J. Numer. Anal. Mod., 2 (2005), pp. 221-239. |
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A posteriori error estimator for finite element discretizations of quasi-Newtonian Stokes flows Abdellatif Agouzal 1 1 U.M.R. 5585 - Equipe de Mathématiques appliées de Lyon. Université de Lyon 1. Bât. 101, 69 622 Villeurbanne Cedex - FranceReceived by the editors May 13, 2004 and, in revised form, August 24, 2004 Abstract 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 Email: agouzal@univ-lyon1.fr |