Fourth-order energy-preserving locally implicit time discretization for linear wave equations

Juliette Chabassier 1, 2 Sebastien Imperiale 3
2 Magique 3D - Advanced 3D Numerical Modeling in Geophysics
LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau], Inria Bordeaux - Sud-Ouest
3 M3DISIM - Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine
LMS - Laboratoire de mécanique des solides, Inria Saclay - Ile de France
Abstract : Time domain simulation of realistic highly heterogeneous media or strongly refined geometries can be a computational challenge when using explicit schemes because they impose a time step restriction that can be extremely penalizing. In this work, we present fourth order locally implicit schemes. The domain of interest is decomposed into several regions where different (explicit or implicit) fourth order time discretization are used. Whilst implicit schemes tolerate the use of larger time steps, they can induce greater numerical dispersion. Fourth order accuracy reduces this lack of precision, and makes this family of schemes attractive compared to other approaches as local time stepping.
Type de document :
Communication dans un congrès
Liste complète des métadonnées

Littérature citée [3 références]  Voir  Masquer  Télécharger

https://hal.archives-ouvertes.fr/hal-01264048
Contributeur : Juliette Chabassier <>
Soumis le : jeudi 28 janvier 2016 - 15:52:54
Dernière modification le : mardi 5 mars 2019 - 09:34:03
Document(s) archivé(s) le : vendredi 11 novembre 2016 - 18:56:54

Fichier

2015-GDR-Aussois.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Citation

Juliette Chabassier, Sebastien Imperiale. Fourth-order energy-preserving locally implicit time discretization for linear wave equations. GDRE , Dec 2015, Aussois, France. 2015, 〈http://www.gdre-us.cnrs-mrs.fr/spip.php?rubrique23〉. 〈10.1002/nme.5130〉. 〈hal-01264048〉

Partager

Métriques

Consultations de la notice

407

Téléchargements de fichiers

74