A Posteriori Error Estimator for Finite Element Discretizations of Quasi-Newtonian Stokes Flows

A Posteriori Error Estimator for Finite Element Discretizations of Quasi-Newtonian Stokes Flows

Year:    2005

Author:    Abdellatif Agouzal

International Journal of Numerical Analysis and Modeling, Vol. 2 (2005), Iss. 2 : pp. 221–239

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2005-IJNAM-930

International Journal of Numerical Analysis and Modeling, Vol. 2 (2005), Iss. 2 : pp. 221–239

Published online:    2005-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:    Quasi-Newtonian flow conforming nonconforming and mixed finite element a posteriori error estimator.

Author Details

Abdellatif Agouzal