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John W. Barrett, Janice Guidice, Endre Süli:A posteriori error analysis of mixed finite element approximations to quasi-Newtonian incompressible flowsWe develop the a posteriori error analysis of mixed finite element approximations of a general family of steady, viscous, incompressible quasi-Newtonian fluids in a bounded Lipschitz domain; the family includes degenerate models such as the power-law model, as well as non-degenerate ones such as the Carreau model. The unified theoretical framework developed herein yields residual-based a posteriori bounds which measure the error in the approximations of the velocity and the pressure. |