Comptes Rendus
no. 5-6
Numerical Analysis
A new approach for approximating linear elasticity problems

Presented by: Robert Dautray

Philippe G. Ciarlet1; Patrick Ciarlet2
1 Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong
2 Laboratoire POEMS, UMR 2706 CNRS/ENSTA/INRIA, École nationale supérieure de techniques avancées, 32, boulevard Victor, 75015 Paris, France
Comptes Rendus. Mathématique, Volume 346 (2008) no. 5-6, pp. 351-356.

In this Note, we present and analyze a new method for approximating linear elasticity problems in dimension two or three. This approach directly provides approximate strains, i.e., without simultaneously approximating the displacements, in finite element spaces where the Saint Venant compatibility conditions are exactly satisfied in a weak form.

Dans cette Note, nous présentons et analysons une nouvelle méthode d'approximation de problèmes d'élasticité linéaire en dimension deux ou trois. Cette approche fournit directement des approximations des déformations, c'est-à-dire sans approcher simultanément les déplacements, dans des espaces d'éléments finis où les conditions de compatibilité de Saint Venant sont exactement satisfaites dans un sens faible.

Accepted:
Published online:
DOI: 10.1016/j.crma.2008.01.014

Philippe G. Ciarlet 1; Patrick Ciarlet 2

1 Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong
2 Laboratoire POEMS, UMR 2706 CNRS/ENSTA/INRIA, École nationale supérieure de techniques avancées, 32, boulevard Victor, 75015 Paris, France 
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Philippe G. Ciarlet; Patrick Ciarlet. A new approach for approximating linear elasticity problems. Comptes Rendus. Mathématique, Volume 346 (2008) no. 5-6, pp. 351-356. doi : 10.1016/j.crma.2008.01.014. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2008.01.014/

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