3D domain decomposition method coupling conforming and nonconforming finite elements

Abdellatif Agouzal; Laurence Lamoulie; Jean-Marie Thomas

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1999)

  • Volume: 33, Issue: 4, page 771-780
  • ISSN: 0764-583X

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Agouzal, Abdellatif, Lamoulie, Laurence, and Thomas, Jean-Marie. "3D domain decomposition method coupling conforming and nonconforming finite elements." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 33.4 (1999): 771-780. <http://eudml.org/doc/193945>.

@article{Agouzal1999,
author = {Agouzal, Abdellatif, Lamoulie, Laurence, Thomas, Jean-Marie},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {unregular domain boundary; domain decomposition; hybrid finite element methods; error bounds},
language = {eng},
number = {4},
pages = {771-780},
publisher = {Dunod},
title = {3D domain decomposition method coupling conforming and nonconforming finite elements},
url = {http://eudml.org/doc/193945},
volume = {33},
year = {1999},
}

TY - JOUR
AU - Agouzal, Abdellatif
AU - Lamoulie, Laurence
AU - Thomas, Jean-Marie
TI - 3D domain decomposition method coupling conforming and nonconforming finite elements
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1999
PB - Dunod
VL - 33
IS - 4
SP - 771
EP - 780
LA - eng
KW - unregular domain boundary; domain decomposition; hybrid finite element methods; error bounds
UR - http://eudml.org/doc/193945
ER -

References

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  1. [1] A. Agouzal, A Posteriori Error Estimator for Nonconforming Finite Element Methods. Appl. Math. Lett. 7 (1994) 61-66. Zbl0810.65096MR1350612
  2. [2] A. Agouzal, Méthode de décomposition de domaines en formulation mixte. Jap. Math. 43 (1994) 31-35. Zbl0851.65085
  3. [3] A. Agouzal and J.-M. Thomas, Une méthode d'éléments finis hybrides en décomposition de domaines. RAIRO Modél. Math. Anal. Numér. 29 (1995) 749-764. Zbl0837.65122MR1360674
  4. [4] A. Agouzal and L. Lamoulie, Un algorithme de résolution pour une méthode de décomposition de domaines par éléments finis. CM. Acad. Sci. Paris Sér. I 318 (1994) 117-176. Zbl0792.65089MR1260333
  5. [5] A. Alonso and A. Valli, A new approach to the coupling of viscous and inviscid Stokes equations. East-West J. Numer. Math. 3 (1995) 29-42. Zbl0824.76022MR1331482
  6. [6] C. Bernardi, Y. Maday and A. Patera, A new nonconforming approach to domain decomposition: The mortar element method, in Nonlinear Partial Differential Equations and their Applications, H. Brezis and J.L. Lions Eds., Pitman (1989). Zbl0797.65094
  7. [7] F. Brezzi and M. Fortin, Mixed and Hybrid Finite Element Methods. Springer Verlag, New York (1991). Zbl0788.73002MR1115205
  8. [8] P.G. Ciarlet, Basic Error Estimates for Elliptic Problems, in Handbook of Numerical Analysis, Vol II, Finite Element Methods, P.G. Ciarlet and J.L. Lions Eds. North-Holland, Amsterdam (1991) 17-352. Zbl0875.65086MR1115237
  9. [9] P. Clement, Approximation by finite elements functions using local regularization. RAIRO Anal. Numér. 9 (1975) 77-84. Zbl0368.65008MR400739
  10. [10] L. Lamoulie and J.-M Thomas, Couplage de méthodes primales et duales d'éléments finis pour les problèmes elliptiques du second ordre. C.R. Acad. Sci. Paris Sér. I 318 (1994) 269-274. Zbl0791.65091MR1262910
  11. [11] D. Marini, An inexpensive method for the évaluation of the solution of the lowest order Raviart-Thomas mixed method. SIAM J. Numer. Anal. 22 (1985) 493-496. Zbl0573.65082MR787572
  12. [12] J.E. Roberts and J.-M. Thomas, Mixed and Hybrid Methods, in Handbook of Numerical Analysis, Vol II, Finite ElementMethods, P.G. Ciarlet and J.L. Lions Eds., North-Holland, Amsterdam (1991) 523-639. Zbl0875.65090MR1115239
  13. [13] J.-M. Thomas, Finite Element Matching Methods, in Fifth International Symposium on Domain Décomposition Methods for Partial Differential Equations, D. Keys, T. Chan, G. Meurant, J. Scroggs and R. Voigt Eds., SIAM, Philadelphia (1992) 99-105. Zbl0770.65094MR1189567

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