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Comptes Rendus Mathématique
Volume 343, n° 3
pages 209-212 (août 2006)
Doi : 10.1016/j.crma.2006.06.017
Received : 10 April 2006 ;  accepted : 13 June 2006
Une méthode par éléments finis mixte préservant la positivité pour le problème de contact en élasticité
A positivity preserving mixed finite element method for the contact problem in elasticity
 

Patrick Hild
Laboratoire de mathématiques de Besançon, UMR CNRS 6623, université de Franche-Comté, 16, route de Gray, 25030 Besançon, France 

Résumé

Nous considérons une méthode par éléments finis mixte pour le problème de contact en élasticité qui fournit des champs approchés (déplacements et contraintes) satisfaisant les conditions de signe du problème continu. Nous montrons que la méthode vérifie des estimations a priori de lʼerreur identiques à la méthode standard. Pour citer cet article : P. Hild, C. R. Acad. Sci. Paris, Ser. I 343 (2006).

The full text of this article is available in PDF format.
Abstract

We consider a mixed finite element method for the contact problem in elasticity that furnishes approximated fields (displacements and constraints) satisfying the sign conditions of the continuous problem. We prove that the method verifies similar a priori error estimates as the standard method. To cite this article: P. Hild, C. R. Acad. Sci. Paris, Ser. I 343 (2006).

The full text of this article is available in PDF format.


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