Mesh adaptivity in finite elements using the mortar method

Revue Europeenne des Elements

Volumn 9, Issue 4, 2000, Pages 451-465

  Bernardi, Christine ^a   Maday, Yvon ^a,b  

^a SORBONNE UNIVERSITÉ   (France)

^b UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

Finite elements; Mesh adaptivity; Mortar method

Indexed keywords

ALGORITHMS; FINITE ELEMENT METHOD;

DISCRETIZATIONS; MESH ADAPTIVITY; MORTAR ELEMENT; MORTAR METHODS; REFINEMENT PROCESS;

MORTAR;

EID: 0010659647     PISSN: 12506559     EISSN: None     Source Type: Journal    
DOI: 10.1080/12506559.2000.10511457     Document Type: Article

References (12)

1. F. BEN BELGACEM, "Discretisations 30 non conformes par Ia methode de decomposition de domaine des elements avec joints: analyse mathematique et mise en ceuvre pour le probleme de Poisson", Thesis. Universite Pierre et Marie Curie, Paris, 1993.
2. C. BERNARDI. V. GIRAULT, "A local regularization operator for triangular and quadrilateral finite elements", SIAM J. Numer. Anal., vol. 35. 1998. 1893-1916.
3. C. BERNARDI, Y. MADAY, A.T. PATERA, "A new nonconforming approach to domain decomposition: the mortar element method", College de France Seminar, vol. XI, H. Brezis &J.-L. Lions eds . Pitman, 1994, 13-51.
4. C. BERNARDI. Y. MADAY, A.T. PATERA, "Domain decomposition by the mortar element method", Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters, H.G. Kaper &M. Garbey eds., N.A.T.O. AS! Series C 384, Kluwer, 1993. 269-286.
5. C. BERNARDI, B. METIVET, R. VERFORTH, "Analyse numerique d'indicateurs d'erreur", Internal Report 93025, Laboratoire d' Analyse Numerique de l'Universite Pierre et Marie Curie. Paris. 1993.
6. P.-L. GEORGE, H. BOROUCHAKI, Triangulation de Delaunay et mail/age. Applications aux elbnents finis, Editions Hermes, 1997.
7. R.G. OWENS, J. VALENCIANO, "An h-p adaptive spectral element method for the Stokes problem", Proceedings Fourth Int. Conf On Spectral And High Order Methods, 1999
8. J. POUSIN, T. SASSI, "A posteriori error estimates and domain decomposition with non matching grids", submitted to Model. Math. et Anal. Numer.
9. R. YERFORTH, "A posteriori error estimation and adaptive mesh-refinement techniques", J. Comput. Appl. Math., vol. 50, 1994,67-83. [VE2
10. R. VERFORTH. A Review of A Posteriori Error Estimation and Adaptive MeshRefinement Techniques, Wiley &Teubner. 1996.
11. O.C. WJDLUND, "An extension theorem for finite element spaces with three applications", Numerical Techniques in Continuum Mechanics, Proceedings of the Second GAMM Seminar, W. Hackbush &K. Witsch eds., Kiel. 1986.
12. B. WOHLMUTH, "A residual based error estimator for mortar finite element discretizations", Numer. Math., vol. 84, 1999, 143-171.