Dual combined finite element methods for non-Newtonian flow (II) parameter-dependent problem

This is the second part of the paper for a Non-Newtonian flow. Dual combine d Finite Element Methods are used to investigate the little parameter-depen dent problem arising in a nonlinear three field version of the Stokes syste m for incompressible fluids, where the viscosity obeys a general law includ ing the Carreau's law and the Power law. Certain parameter-independent erro r 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 exempl ifying the abstract B-B inequality. The continuous approximation for the ex tra stress is achieved as a by-product of the new method.