MsFEM à la Crouzeix-Raviart for Highly Oscillatory Elliptic Problems

We introduce and analyze a multiscale finite element type method (MsFEM) in the vein of the classical Crouzeix-Raviart finite element method that is specifically adapted for highly oscillatory elliptic problems. We illustrate numerically the efficiency of the approach and compare it with several variants of MsFEM.

Mots clés

Homogenization Finite elements Galerkin methods Highly oscillatory PDE

Domaines

Analyse numérique [math.NA]

Frederic Legoll : Connectez-vous pour contacter le contributeur

https://hal.science/hal-00789102

Soumis le : vendredi 15 février 2013-17:14:22

Dernière modification le : jeudi 16 mai 2024-15:00:04

Dates et versions

hal-00789102 , version 1 (15-02-2013)

Identifiants

HAL Id : hal-00789102 , version 1
DOI : 10.1007/s11401-012-0755-7

Citer

Claude Le Bris, Frédéric Legoll, Alexei Lozinski. MsFEM à la Crouzeix-Raviart for Highly Oscillatory Elliptic Problems. Chinese Annals of Mathematics - Series B, 2013, 34 (1), pp.113-138. ⟨10.1007/s11401-012-0755-7⟩. ⟨hal-00789102⟩

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