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Construction d’une base de fonctions P1 non conforme à divergence nulle dans R3. (French) Zbl 0471.76028

MSC:
76D05 Navier-Stokes equations for incompressible viscous fluids
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
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References:
[1] 1. M. CROUZEIX et P. A. RAVIART, Conforming and non-conforming finite elementmethodsfor sohing the stationary Stokes équations, R.A.I.R.O., R-3 (1973), pp. 33-76. Zbl0302.65087 MR343661 · Zbl 0302.65087 · eudml:193250
[2] 2. M. FORTIN, Résolution numérique des équations de Navier-Stokes par des élémentsfinis de type mixte, Rapport de Recherche 184 (LABORIA-INRIA), août 1976.
[3] 3. C. TAYLOR et P. HOOD, A numerical solution of the Navier-Stokes équations using thefinite element technique, Computers and Fluids, 1 (1973), pp. 73-100. Zbl0328.76020 MR339677 · Zbl 0328.76020 · doi:10.1016/0045-7930(73)90027-3
[4] 4. M. BERCOVIER, Afamily of finite éléments with pénalisation for the numerical solu-tion of Stokes and Navier-Stokes équations, in Gilchrist (1977). Zbl0383.65065 · Zbl 0383.65065
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[6] 6. R. TEMAN, Theory and numerical analysis of the Navier-Stokes équations, NorthHolland, Amsterdam (1977). Zbl0383.35057 · Zbl 0383.35057
[7] 7 M. CROUZEIX, Proceedings of Journées < éléments finis > , Université de Rennes (1976).
[8] 8 F. THOMASSET, Numerical solution of the Navier-Stokes équations by finite élémentmethods, VKI Lecture séries, no. 86 (Computational fluid dynamics, March 21-25, 1977).
[9] 9. P. G. CIARLET, The fimte element method for elhptic problems, North Holland (1978). Zbl0383.65058 MR520174 · Zbl 0383.65058
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[11] 11. C. GODBILLON, Topologie Algébrique, Herman
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[13] 13. F. HECHT, Thèse de 3e cycle, Université de Pans 6 (1980).
[14] 14 C. BERGE, Théorie des Graphes, Dunod
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