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Volume 5, Issue 2
A Posteriori Error Estimation for a Dual Mixed Finite Element Approximation of Non-Newtonian Fluid Flow Problems

M. Farhloul & A.-M. Zine

Int. J. Numer. Anal. Mod., 5 (2008), pp. 320-330.

Published online: 2008-05

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  • Abstract

A dual mixed finite element method, for quasi-Newtonian fluid flow obeying to the power law, is constructed and analyzed in [8]. This mixed formulation possesses local (i.e., at element level) conservation properties (conservation of the momentum and the mass) as in the finite volume methods. We propose here an a posteriori error analysis for this mixed formulation.

  • Keywords

mixed finite element method, quasi-Newtonian fluid flow, a posteriori error analysis.

  • AMS Subject Headings

65N30, 65N15, 76A05, 76M10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-5-320, author = {M. Farhloul and A.-M. Zine}, title = {A Posteriori Error Estimation for a Dual Mixed Finite Element Approximation of Non-Newtonian Fluid Flow Problems}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2008}, volume = {5}, number = {2}, pages = {320--330}, abstract = {

A dual mixed finite element method, for quasi-Newtonian fluid flow obeying to the power law, is constructed and analyzed in [8]. This mixed formulation possesses local (i.e., at element level) conservation properties (conservation of the momentum and the mass) as in the finite volume methods. We propose here an a posteriori error analysis for this mixed formulation.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/814.html} }
TY - JOUR T1 - A Posteriori Error Estimation for a Dual Mixed Finite Element Approximation of Non-Newtonian Fluid Flow Problems AU - M. Farhloul & A.-M. Zine JO - International Journal of Numerical Analysis and Modeling VL - 2 SP - 320 EP - 330 PY - 2008 DA - 2008/05 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/814.html KW - mixed finite element method, quasi-Newtonian fluid flow, a posteriori error analysis. AB -

A dual mixed finite element method, for quasi-Newtonian fluid flow obeying to the power law, is constructed and analyzed in [8]. This mixed formulation possesses local (i.e., at element level) conservation properties (conservation of the momentum and the mass) as in the finite volume methods. We propose here an a posteriori error analysis for this mixed formulation.

M. Farhloul and A.-M. Zine. (2008). A Posteriori Error Estimation for a Dual Mixed Finite Element Approximation of Non-Newtonian Fluid Flow Problems. International Journal of Numerical Analysis and Modeling. 5 (2). 320-330. doi:
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