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Analyse numérique des écoulements quasi-Newtoniens dont la viscosité obéit à la loi puissance ou la loi de Carreau. (Numerical analysis of quasi-Newtonian flow obeying the power low or the Carreau flow). (French) Zbl 0702.76007
Summary: We prove abstract error estimates for the approximation of the velocity and the pressure by a mixed FEM of quasi-Newtonian flows whose viscosity obeys the power law or the Carreau law. These estimates are optimal in some cases. They can be applied to most finite elements used for the solution of Stokes’s problem.

MSC:
76A05 Non-Newtonian fluids
65N15 Error bounds for boundary value problems involving PDEs
76M10 Finite element methods applied to problems in fluid mechanics
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