Proof of uniform convergence for a cell-centered AP discretization of the hyperbolic heat equation on general meshes - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Mathematics of Computation Année : 2017

Proof of uniform convergence for a cell-centered AP discretization of the hyperbolic heat equation on general meshes

Résumé

We prove the uniform AP convergence on unstructured meshes in 2D of a generalization, of the Gosse-Toscani 1D scheme for the hyperbolic heat equation. This scheme is also a nodal extension in 2D of the Jin-Levermore scheme described in [18] for the 1D case. In 2D, the proof is performed using a new diffusion scheme.
Fichier principal
Vignette du fichier
BDFL_1.pdf (752.23 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00956573 , version 1 (07-03-2014)
hal-00956573 , version 2 (26-06-2014)
hal-00956573 , version 3 (09-07-2015)

Identifiants

Citer

Christophe Buet, Bruno Després, Emmanuel Franck, Thomas Leroy. Proof of uniform convergence for a cell-centered AP discretization of the hyperbolic heat equation on general meshes. Mathematics of Computation, 2017, ⟨10.1090/mcom/3131⟩. ⟨hal-00956573v3⟩
559 Consultations
478 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More