$L^\infty$-Stability of IMEX-BDF2 Finite Volume Scheme for Convection-Diffusion Equation
Résumé
In this paper, we propose a finite volume scheme for solving a two-dimensional convection-diffusion equation on general meshes. This work is based on a implicit-explicit (IMEX) second order method and it is issued from the seminal paper [2]. In the framework of MUSCL methods, we will prove that the local maximum property is guaranteed under an explicit Courant-Friedrichs-Levy condition and the classical hypothesis for the triangulation of the domain.
Origine | Fichiers produits par l'(les) auteur(s) |
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