A dual-primal coupling technique with local time step for wave propagation problems

Eliane Bécache 1 Patrick Joly 1 Jeronimo Rodriguez 2, 3
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : We are interested in space-time refinement methods for linear wave propagation. In 1,2 , some stable numerical schemes using non-conforming grids in space and time have been proposed. These methods use a Lagrange multiplier to cope with the interface conditions. The choice of the discretization space of this additional unknown can be in some cases not trivial. In the present paper we propose an alternative method. The main new idea is to use different variational formulations in the fine and in the coarse grids. We present a time discretization that leads to the conservation of a discrete energy and provide a complete stability and error analysis in the case where the time step is twice smaller in one domain than in the other one.
Type de document :
Chapitre d'ouvrage
Eccomas thematic conference/ COUPLED PROBLEMS 2005 M. Papadrakakis, E. Onate and B. Schrefler (Eds) CIMNE, Barcelona, 2005, 2005
Liste complète des métadonnées

Littérature citée [4 références]  Voir  Masquer  Télécharger

https://hal.archives-ouvertes.fr/hal-01853635
Contributeur : Eliane Becache <>
Soumis le : vendredi 3 août 2018 - 14:43:42
Dernière modification le : jeudi 7 février 2019 - 17:49:32
Document(s) archivé(s) le : dimanche 4 novembre 2018 - 13:38:56

Fichier

raff-eccomas-Coupled-Pb-becach...
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-01853635, version 1

Collections

Citation

Eliane Bécache, Patrick Joly, Jeronimo Rodriguez. A dual-primal coupling technique with local time step for wave propagation problems. Eccomas thematic conference/ COUPLED PROBLEMS 2005 M. Papadrakakis, E. Onate and B. Schrefler (Eds) CIMNE, Barcelona, 2005, 2005. 〈hal-01853635〉

Partager

Métriques

Consultations de la notice

165

Téléchargements de fichiers

36