Comptes Rendus
no. 23-24
Partial Differential Equations/Numerical Analysis
Approximation of the biharmonic problem using piecewise linear finite elements
[Approximation d'un problème biharmonique par élément fini P1]

Présenté par : Philippe G. Ciarlet

Robert Eymard1 ; Raphaèle Herbin2
1 Laboratoire d'analyse et de mathématiques appliquées, UMR CNRS 8050, Université Paris-Est, 5, boulevard Descartes, Champs-sur-Marne, 77454 Marne-la-Vallée cedex 2, France
2 Laboratoire d'analyse, topologie et probabilités, UMR CNRS 6632, Université de Provence, 39, rue Joliot-Curie, 13453 Marseille, France
Comptes Rendus. Mathématique, Volume 348 (2010) no. 23-24, pp. 1283-1286.

Nous proposons une approximation de la solution du problème bi-harmonique dans H02(Ω) basée sur la discrétisation du Laplacien par éléments finis P1 continus mais non conformes.

We propose an approximation of the solution of the biharmonic problem in H02(Ω) which relies on the discretization of the Laplace operator using nonconforming continuous piecewise linear finite elements.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2010.11.002

Robert Eymard 1 ; Raphaèle Herbin 2

1 Laboratoire d'analyse et de mathématiques appliquées, UMR CNRS 8050, Université Paris-Est, 5, boulevard Descartes, Champs-sur-Marne, 77454 Marne-la-Vallée cedex 2, France
2 Laboratoire d'analyse, topologie et probabilités, UMR CNRS 6632, Université de Provence, 39, rue Joliot-Curie, 13453 Marseille, France 
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     title = {Approximation of the biharmonic problem using piecewise linear finite elements},
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Robert Eymard; Raphaèle Herbin. Approximation of the biharmonic problem using piecewise linear finite elements. Comptes Rendus. Mathématique, Volume 348 (2010) no. 23-24, pp. 1283-1286. doi : 10.1016/j.crma.2010.11.002. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.11.002/

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