A Quasi-Optimal Non-Overlapping Domain Decomposition Algorithm for the Helmholtz Equation - CNRS - Centre national de la recherche scientifique Accéder directement au contenu
Article Dans Une Revue Journal of Computational Physics Année : 2012

A Quasi-Optimal Non-Overlapping Domain Decomposition Algorithm for the Helmholtz Equation

Résumé

This paper presents a new non-overlapping domain decomposition method for the Helmholtz equation, whose effective convergence is quasi-optimal. These improved properties result from a combination of an appropriate choice of transmission conditions and a suitable approximation of the Dirichlet to Neumann operator. A convergence theorem of the algorithm is established and numerical results validating the new approach are presented in both two and three dimensions.
Fichier principal
Vignette du fichier
BoubAntGeu.pdf (570.26 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00573550 , version 1 (04-03-2011)

Identifiants

Citer

Yassine Boubendir, Xavier Antoine, Christophe Geuzaine. A Quasi-Optimal Non-Overlapping Domain Decomposition Algorithm for the Helmholtz Equation. Journal of Computational Physics, 2012, 231 (2), pp.262-280. ⟨10.1016/j.jcp.2011.08.007⟩. ⟨hal-00573550⟩
374 Consultations
496 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More