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On the numerical approximation of quasi-Newtonian flow obeying the power law or the Carreau law. (Sur l’approximation numérique des écoulements quasi-newtoniens dont la viscosité suit la loi puissance ou la loi de Carreau.) (French. English summary) Zbl 0764.76039


MSC:

76M10 Finite element methods applied to problems in fluid mechanics
76A05 Non-Newtonian fluids
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
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References:

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[2] J. BARANGER, P. GEORGET, K. NAJIB, 1987, Error estimates for a mixed finite element method for a non Newtonian flow, J. Non-Newtoman Fluid Mech., 23,415-421. Zbl0619.76003 · Zbl 0619.76003
[3] J. BARANGER, K. NAJIB, 1990, Analyse numérique des écoulements quasi-ne wtomens dont la viscosité obéit à la loi puissance ou la loi de Carreau, Numer. Math., 58, 35-49. Zbl0702.76007 MR1069652 · Zbl 0702.76007
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[10] V. P. MJASNIKOV, P. P. MOSOLOV, 1971, A proof of Korn Inequality, Sov. Math., 12, (6), 1618-1622. Zbl0248.52011 · Zbl 0248.52011
[11] D. QIANG, M. D. GUNZBURGER, 1990, Finite-element approximation of a Ladyzhenskaya model for stationary incompressible viscous flow, SIAM J. Numer. Anal., 27, (1), 1-19. Zbl0697.76046 MR1034917 · Zbl 0697.76046
[12] V. B. TYUKHTIN, 1983, Sur la vitesse de convergence des méthodes d’approximation de la solution des problèmes variationnels unilatéraux (en russe), Vestn. Leningr. Univ., Math. Mec. Astronom., 3, 36-43. Zbl0529.49015 · Zbl 0529.49015
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