Formulations mixtes augmentées et applications

 Access to full text

 Full (PDF)

1. [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. Zbl0909.65076MR1645037
2. [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. Zbl0853.73062
3. [3] A. Agouzal, Analyse numérique des méthodes de décomposions de domaines. Méthodes des domaines fictifs. Thèse de doctorat, Université de Pau, France (1994). 
4. [4] R.E. Bank et R.K. Smith, A posteriori error estimates based on hierarchical bases. SIAM J. Numer. Anal. 30 (1993) 921-935. Zbl0787.65078MR1231320
5. [5] R.E. Bank et A. Weiser, Some a posteriori error estimators for elliptic partial differential equations. Math Comp. 44 (1985) 283-301. Zbl0569.65079MR777265
6. [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. Zbl0764.73077MR1088318
7. [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. Zbl0765.65102MR1159042
8. [8] F. Brezzi et M. Fortin, Mixed and Hybrid Finite Element Methods. Springer Series in Computational Mathematics 15 Springer-Verlag (1991). Zbl0788.73002MR1115205
9. [9] P.G. Ciarlet, The Finite Element for Elliptic Problems. North Holland, Amsterdam (1978). Zbl0383.65058MR520174
10. [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. Zbl0759.76040MR1155924
11. [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). Zbl1189.76339
12. [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. Zbl0362.65089MR483555
13. [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). Zbl0875.65090MR1115239
14. [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).