Finite element error analysis of a quasi-Newtonian flow obeying the Carreau or power law. (English) Zbl 0796.76049

Summary: We consider the finite element approximation of a quasi-Newtonian flow, where the viscosity obeys the Carreau or power law. For sufficiently regular solutions, we prove energy type error bounds for the velocity and pressure. These bounds improve on results existing in the literature.


76M10 Finite element methods applied to problems in fluid mechanics
76A05 Non-Newtonian fluids
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