A Posteriori Error Estimation for a Dual Mixed Finite Element Approximation of Non-Newtonian Fluid Flow Problems

A Posteriori Error Estimation for a Dual Mixed Finite Element Approximation of Non-Newtonian Fluid Flow Problems

Year:    2008

International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 2 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2008-IJNAM-814

International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 2 : pp. 320–330

Published online:    2008-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

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