Title :

A convergent entropy diminishing finite volume scheme for a cross-diffusion system

Author(s) :

Cancès, Clément [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Gaudeul, Benoît [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Reliable numerical approximations of dissipative systems [RAPSODI]

Journal title :

SIAM Journal on Numerical Analysis

Pages :

pp. 2784-2710

Publisher :

Society for Industrial and Applied Mathematics

Publication date :

2020

ISSN :

0036-1429

English keyword(s) :

Discrete entropy method
Finite Volumes
Cross-diffusion system
Convergence

HAL domain(s) :

Mathématiques [math]/Analyse numérique [math.NA]
Mathématiques [math]/Equations aux dérivées partielles [math.AP]

English abstract : [en]

We study a two-point flux approximation finite volume scheme for a cross-diffusion system. The scheme is shown to preserve the key properties of the continuous systems, among which the decay of the entropy. The convergence ...
Show more >We study a two-point flux approximation finite volume scheme for a cross-diffusion system. The scheme is shown to preserve the key properties of the continuous systems, among which the decay of the entropy. The convergence of the scheme is established thanks to compactness properties based on the discrete entropy-entropy dissipation estimate. Numerical results illustrate the behavior of our scheme.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Systèmes de diffusion croisée sur des domaines en mouvement
Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL