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Volume 2, Issue 2
A Posteriori Error Estimator for Finite Element Discretizations of Quasi-Newtonian Stokes Flows

Abdellatif Agouzal

Int. J. Numer. Anal. Mod., 2 (2005), pp. 221-239.

Published online: 2005-02

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  • 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.

  • Keywords

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

  • AMS Subject Headings

65N30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-2-221, author = {Agouzal , Abdellatif}, title = {A Posteriori Error Estimator for Finite Element Discretizations of Quasi-Newtonian Stokes Flows}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2005}, volume = {2}, number = {2}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/930.html} }
TY - JOUR T1 - A Posteriori Error Estimator for Finite Element Discretizations of Quasi-Newtonian Stokes Flows AU - Agouzal , Abdellatif JO - International Journal of Numerical Analysis and Modeling VL - 2 SP - 221 EP - 239 PY - 2005 DA - 2005/02 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/930.html KW - Quasi-Newtonian flow, conforming, nonconforming and mixed finite element, a posteriori error estimator. AB -

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.

Agouzal , Abdellatif. (2005). A Posteriori Error Estimator for Finite Element Discretizations of Quasi-Newtonian Stokes Flows. International Journal of Numerical Analysis and Modeling. 2 (2). 221-239. doi:
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