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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
Institute of Computational Mathematics, Chinese Academy of Sciences, PO Box 2719, Beijing 100080, P. R. China. (
Zhong-ci Shi
Institute of Computational Mathematics, Chinese Academy of Sciences, PO Box 2719, Beijing 100080, P. R. China. (
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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.

Research Article
© EDP Sciences, SMAI, 2000

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