L2-stability independent of diffusion for a finite element -- finite volume discretization of a linear convection-diffusion equation - Laboratoire d'Analyse et de Mathématiques Appliquées Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2014

L2-stability independent of diffusion for a finite element -- finite volume discretization of a linear convection-diffusion equation

Résumé

We consider a time-dependent and a steady linear convection-diffusion equation. These equations are approximately solved by a combined finite element -- finite volume method: the diffusion term is discretized by Crouzeix-Raviart piecewise linear finite elements on a triangular grid, and the convection term by upwind barycentric finite volumes. In the unsteady case, the implicit Euler method is used as time discretization. This scheme is shown to be unconditionally L2-stable, uniformly with respect to the diffusion coefficient.
Fichier principal
Vignette du fichier
deuring-eymard-mildner-10.pdf (307.06 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-01060065 , version 1 (02-09-2014)
hal-01060065 , version 2 (13-11-2014)

Identifiants

  • HAL Id : hal-01060065 , version 1

Citer

Paul Deuring, Robert Eymard, Marcus Mildner. L2-stability independent of diffusion for a finite element -- finite volume discretization of a linear convection-diffusion equation. 2014. ⟨hal-01060065v1⟩
467 Consultations
579 Téléchargements

Partager

Gmail Facebook X LinkedIn More