Dual Combined Finite Element Methods For Non-Newtonian Flow (II) Parameter-Dependent Problem
Institute of Computational Mathematics, Chinese Academy of Sciences, PO Box
2719, Beijing 100080, P. R. China. (email@example.com)
2 Institute of Computational Mathematics, Chinese Academy of Sciences, PO Box 2719, Beijing 100080, P. R. China. (firstname.lastname@example.org)
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  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.
Mathematics Subject Classification: 65N30
Key words: Dual combined FEM / non-Newtonian flow / parameter-independent error bounds.
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