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parameter-independent error bounds.

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Dual Combined Finite Element Methods For Non-Newtonian Flow(II) Parameter-Dependent Problem
Pingbing Ming, Zhong-ci Shi
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 34 / Issue 5 / September 2000

Published online by Cambridge University Press:

15 April 2002, pp. 1051-1067

Print publication:

September 2000
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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 littleparameter-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 somestable 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.