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Éléments finis mixtes incompressibles pour l’équation de Stokes dans \(R^ 3\). (French) Zbl 0488.76038

MSC:
76D07 Stokes and related (Oseen, etc.) flows
76M99 Basic methods in fluid mechanics
49S05 Variational principles of physics
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
76D05 Navier-Stokes equations for incompressible viscous fluids
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References:
[1] Ciarlet, P.G., Raviart, P.A.: A mixed finite element method for the biharmonic equation. In: Mathematical aspects in finite element equation (C. de Boor ed.) pp. 125-145. Academic Press: New York. 1974 · Zbl 0337.65058
[2] Fortin, M.: Resolution numérique des équations de Navier-Stokes par des éléments finis de type mixte. In: 2nd International Symposium on finite element methods in flow problems. S. Margherita Ligure: Italie 1976
[3] Girault, V., Raviart, P.A.: Finite element approximation of the Navier-Stokes equations. In: Lectures Notes on Mathematics Vol. 749. Springer Verlag. Berlin 1979 · Zbl 0413.65081
[4] Glowinski, R.: Approximations externes par éléments finis d’ordre un et deux du problème de Dirichlet pour? 2. In: Topics in numerical analysis I (J.J.H. Miller ed.). pp. 123-171. Academic Press: London 1973
[5] Lions, J.L.: Quelques méthodes de résolution des problèmes aux limites non linéaires. Dunod: Paris 1969
[6] Nedelec, J.C.: Mixed finite elements in ?3. Numer. Math.35, 315-341 (1980) · Zbl 0419.65069
[7] Raviart, P.A.: Méthodes d’éléments finis pour les équations de Navier-Stokes. Cours de l’Ecole d’Eté EDF-CEA-IRIA 1979
[8] Temam, R.: Navier-Stokes equations. North Holland, Amsterdam 1977 · Zbl 0383.35057
[9] Scholz, R.: A mixed method for 4th order problems using linear finite elements. RAIRO, Analyse Numerique12, 85-90 (1978) · Zbl 0382.65059
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