Formulations mixtes augmentées et applications
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 33 (1999) no. 3, p. 459-478
@article{M2AN_1999__33_3_459_0,
     author = {Achchab, Boujem\^aa and Agouzal, Abdellatif},
     title = {Formulations mixtes augment\'ees et applications},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     publisher = {Dunod},
     volume = {33},
     number = {3},
     year = {1999},
     pages = {459-478},
     zbl = {0943.65128},
     mrnumber = {1713233},
     language = {fr},
     url = {http://www.numdam.org/item/M2AN_1999__33_3_459_0}
}
Achchab, Boujemâa; Agouzal, Abdellatif. Formulations mixtes augmentées et applications. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 33 (1999) no. 3, pp. 459-478. http://www.numdam.org/item/M2AN_1999__33_3_459_0/

[1] B. Achchab, A. Agouzal, J. Baranger et J.F. Maitre, Estimateur d'erreur a posteriori hiérarchique. Application aux éléments finis mixtes. Numer. Math. 80 (1998) 159-179. | MR 1645037 | Zbl 0909.65076

[2] B. Achchab et J.F. Maitre, Estimate of the constant in two strengthened C.B.S inequalities for F.E.M. system of the 2D elasticity. Application to multilevel methods and a posteriori error estimators. Numerical linear algebra with applications 1 (1995) 1-13. | Zbl 0853.73062

[3] A. Agouzal, Analyse numérique des méthodes de décomposions de domaines. Méthodes des domaines fictifs. Thèse de doctorat, Université de Pau, France (1994).

[4] R.E. Bank et R.K. Smith, A posteriori error estimates based on hierarchical bases. SIAM J. Numer. Anal. 30 (1993) 921-935. | MR 1231320 | Zbl 0787.65078

[5] R.E. Bank et A. Weiser, Some a posteriori error estimators for elliptic partial differential equations. Math Comp. 44 (1985) 283-301. | MR 777265 | Zbl 0569.65079

[6] H.J.C. Barbosa et T.J.R. Hughes, The finite element method with Lagrange multipliers on the boundary circumventing the Babuska-Brezzi condition. Comput. Meth. Appl. Eng. 85 (1992) 109-128. | MR 1088318 | Zbl 0764.73077

[7] H.J.C. Barbosa et T.J.R. Hughes, Boundary Lagrange multipliers in finite element methods error analysis in naturel norms Numer. Math. 62 (1992) 1-15. | MR 1159042 | Zbl 0765.65102

[8] F. Brezzi et M. Fortin, Mixed and Hybrid Finite Element Methods. Springer Series in Computational Mathematics 15 Springer-Verlag (1991). | MR 1115205 | Zbl 0788.73002

[9] P.G. Ciarlet, The Finite Element for Elliptic Problems. North Holland, Amsterdam (1978). | MR 520174

[10] L.P. Franca, S. Frey et T.J.R. Hughes, Stabilized finite element methods: 1. Application to the advective-diffusive model. Comp. Methods Appl. Mech. Eng. 95 (1992) 253-276. | MR 1155924 | Zbl 0759.76040

[11] L.P. Franca, T.J.R. Hughes et R. Stenberg, Stabilized finite element methods for the Stokes problem. Incompressible Computational Fluid Dynamics-Trends and Advances (à paraître).

[12] P.A. Raviart et J.M. Thomas, A mixed finite element method for second order elliptic problems, in Mathematical aspects of the finite Element Method, Galligani et Magenes Eds., Springer-Verlag (1977) 292-315. | MR 483555 | Zbl 0362.65089

[13] J.E. Roberts et J.M. Thomas, Mixed and hybrid methods, in Handbook of Numerical Analysis, P.G. Ciarlet et J.L. Lions Eds., Vol. 2, Part 1, North-Holland, Amsterdam (1989). | MR 1115239 | Zbl 0875.65090

[14] J.M. Thomas, Sur l'analyse numérique des méthodes d'éléments finis hybrides et mixtes. Thèse d'état, Université Pierre et Marie Curie, France (1977).