Une méthode d'éléments finis hybrides en décomposition de domaines

Abdellatif Agouzal; Jean-Marie Thomas

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1995)

  • Volume: 29, Issue: 6, page 749-764
  • ISSN: 0764-583X

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Agouzal, Abdellatif, and Thomas, Jean-Marie. "Une méthode d'éléments finis hybrides en décomposition de domaines." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 29.6 (1995): 749-764. <http://eudml.org/doc/193790>.

@article{Agouzal1995,
author = {Agouzal, Abdellatif, Thomas, Jean-Marie},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {domain decomposition; Poisson equation; numerical examples; hybrid finite element method; error bounds},
language = {fre},
number = {6},
pages = {749-764},
publisher = {Dunod},
title = {Une méthode d'éléments finis hybrides en décomposition de domaines},
url = {http://eudml.org/doc/193790},
volume = {29},
year = {1995},
}

TY - JOUR
AU - Agouzal, Abdellatif
AU - Thomas, Jean-Marie
TI - Une méthode d'éléments finis hybrides en décomposition de domaines
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1995
PB - Dunod
VL - 29
IS - 6
SP - 749
EP - 764
LA - fre
KW - domain decomposition; Poisson equation; numerical examples; hybrid finite element method; error bounds
UR - http://eudml.org/doc/193790
ER -

References

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  1. [1] D. A. ADAMS, 1975, Sobolev Spaces, Academic Press, New York. Zbl0314.46030MR450957
  2. [2] A. AGOUZAL, 1993, Analyse numérique de méthodes de décomposition de domaines; Méthodes de domaine fictifs avec multiplicateurs de Lagrange, Thèse, Université de Pau. 
  3. [3] I. BABUSKA, 1973, The Finite Element Method with Lagrangian Multipliers, Numer Math. 20, 179-192. Zbl0258.65108MR359352
  4. [4] F. BEN BELGACEM, 1993, Discrétisations 3D non conformes par la méthode de décomposition de domaine des éléments avec joints : Analyse mathématique et mise en œuvre pour le problème de Poisson, Thèse, Université Pierre et Marie Curie (Paris 6). 
  5. [5] C. BERNARDI, Y. MADAY, A. PATERA, 1990, New Nonconforming Approach to Domaine Décomposition : The Mortar Element Method, Séminaire du Collège de France (H. Brezis, J. L. Lions, eds.), Pitman. Zbl0797.65094
  6. [6] F. BREZZI, M. FORTIN, 1991, Mixed and Hybrid Finite Element Methods, Springer Verlag, New York. Zbl0788.73002MR1115205
  7. [7] F. BREZZI, L. D. MARINI, 1994, A Three Field Domain Decomposition Method, Contemporary Mathematics (A. Quarteroni, J. Pénaux, Y. A. Kuznetsov, O. B. Widlund, eds.), vol. 157, pp. 27-34. Zbl0801.65116MR1262602
  8. [8] J. PITKÄRANTA, 1979, Boundary Subspaces for the Finite Element Method with Lagrange Multipliers, Numer. Math., 33, pp. 273-289. Zbl0422.65062MR553590
  9. [9] J. PITKÄRANTA, 1981, The Finite Element Method Lagrange Multipliers for Domains with Corners, Math. Comp., 37, pp. 13-30. Zbl0474.65081MR616357
  10. [10] P. A. RAVIART, J.-M. THOMAS, 1977, Primal Hybrid Finite Elements Methods for 2nd Elliptic Equations, Math. Comp. 31, pp. 391-413. Zbl0364.65082MR431752
  11. [11] J. E. ROBERTS, J.-M. THOMAS, 1991, Mixed and Hybrid Methods, in Handbookof Numerical Analysis, Vol II, Finite Element Methods (Part 1) (P. G. Ciarlet and J. L. Lions, eds.), North-Holland, Amsterdam, pp. 523-639. Zbl0875.65090MR1115239
  12. [12] J.-M. THOMAS, 1992, Finite Element Matching Methods, in Fifth International Symposium on Domain Décomposition Methods for Partial Differential Equations (D. Keys, T. Chan, G. Meurant, J. Scroggs, R. Voigt, eds.), SIAM, Phila-delphia, pp. 99-105. Zbl0770.65094MR1189567

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