L’élément Q 1 -bulle/Q 1
Mons, P. ; Rogé, G.
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 26 (1992), p. 507-521 / Harvested from Numdam
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@article{M2AN_1992__26_4_507_0,
     author = {Mons, P. and Rog\'e, G.},
     title = {L'\'el\'ement $Q\_1$-bulle/$Q\_1$},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {26},
     year = {1992},
     pages = {507-521},
     mrnumber = {1163979},
     zbl = {0760.65100},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/M2AN_1992__26_4_507_0}
}

Mons, P.; Rogé, G. L’élément $Q_1$-bulle/$Q_1$. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 26 (1992) pp. 507-521. http://gdmltest.u-ga.fr/item/M2AN_1992__26_4_507_0/

[A] D. Arnold, F. Brezzi, M. Fortin, A stable finite element for the Stokes equations, Calcolo, 21 (4), 337-344, 1984. | MR 799997 | Zbl 0593.76039

[BA] R. Bank, B. Welfert, A comparison between the mini-element and the Petrov-Galerkin formulations for the generalized Stokes problem, private communication, 1989. | MR 1078695 | Zbl 0732.65100

[BR] F. Brezzi, On the existence, uniqueness and approximation of saddle point problems arising from Lagrangian multipliers, RAIRO, Modél. Math. Anal. Numér., R2, 129-151, 1974. | Numdam | MR 365287 | Zbl 0338.90047

[BE] C. Bernardi, Optimal finite element interpolation on curved domains, SIAM J. Numer. AnaL, Vol. 26, N° 5, pp. 1212-1240, 1989. | MR 1014883 | Zbl 0678.65003

[C] P. Clément, Approximation by finite element functions using local regularization, RAIRO, Model. Math. Anal. Numér., 9 R2, 33-76, 1975. | Numdam | MR 400739 | Zbl 0368.65008

[F] M. Fortin,, An analysis of the convergence of mixed finite elements methods, RAIRO, Modél. Math. Anal. Numér., 11 R3, 341-354, 1977. | Numdam | MR 464543 | Zbl 0373.65055

[GI] V. Girault, P. A. Raviart, Finite element approximation on the Navier-Stokes equations, Lecture Notes in Math., Springer-Verlag, 1981. | MR 548867 | Zbl 0441.65081

[GP] R. Glowinski, O. Pironneau, On a mixed finite element approximation of the Stokes problem (I). Convergence of the approximate solutions. IRIA-Laboria, Numer. Math., Fev. 1979. | MR 553350 | Zbl 0423.65059

[T] G. Taylor et P. Hood, A numerical solution of the Navier-Stokes equation using the finite element technique, Comput. and Fluids, vol. 1, N° 1, pp. 73-100. | MR 339677 | Zbl 0328.76020