Non-overlapping Schwarz algorithm for solving 2D m-DDFV schemes - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue IMA Journal of Numerical Analysis Année : 2010

Non-overlapping Schwarz algorithm for solving 2D m-DDFV schemes

Résumé

We propose a non-overlapping Schwarz algorithm for solving ''Discrete Duality Finite Volume'' schemes (DDFV for short) on general meshes. In order to handle this problem, the first step is to propose and study a convenient DDFV scheme for anisotropic elliptic problems with mixed Dirichlet/Fourier boundary conditions. Then, we are able to build the corresponding Schwarz algorithm and to prove its convergence to the solution of the DDFV scheme on the initial domain. We finally give some numerical results both in the case where the Schwarz iterations are used as a solver or as a preconditioner.
Fichier principal
Vignette du fichier
SDDFV_BHK_HAL.pdf (467.79 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00307185 , version 1 (28-07-2008)
hal-00307185 , version 2 (21-11-2008)

Identifiants

Citer

Franck Boyer, Florence Hubert, Stella Krell. Non-overlapping Schwarz algorithm for solving 2D m-DDFV schemes. IMA Journal of Numerical Analysis, 2010, 30 (4), Pp 1062-1100. ⟨10.1093/imanum/drp001⟩. ⟨hal-00307185v2⟩
249 Consultations
279 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More