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Dual Combined Finite Element Methods For Non-Newtonian Flow(II) Parameter-Dependent Problem

Published online by Cambridge University Press:  15 April 2002

Pingbing Ming  and
Zhong-ci Shi
Pingbing Ming
Affiliation:
Institute of Computational Mathematics, Chinese Academy of Sciences, PO Box 2719, Beijing 100080, P. R. China. (mpb@lsec.cc.ac.cn)
Zhong-ci Shi
Affiliation:
Institute of Computational Mathematics, Chinese Academy of Sciences, PO Box 2719, Beijing 100080, P. R. China. (shi@lsec.cc.ac.cn)
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Abstract

This is the second part of the paper for a Non-Newtonian flow. Dual combined Finite Element Methods are used to investigate the little parameter-dependent problem arising in a nonliner three field version of the Stokes system for incompressible fluids, where the viscosity obeys a general law including the Carreau's law and the Power law. Certain parameter-independent error bounds are obtained which solved the problem proposed by Baranger in [4] in a unifying way. We also give some stable finite element spaces by exemplifying the abstract B-B inequality. The continuous approximation for the extra stress is achieved as a by-product of the new method.

Keywords

Dual combined FEMnon-Newtonian flowparameter-independent error bounds.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 34 , Issue 5 , September 2000 , pp. 1051 - 1067
Copyright
© EDP Sciences, SMAI, 2000

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