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

Pingbing MingZhong-ci Shi — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

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...

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