A convergent entropy diminishing finite volume scheme for a cross-diffusion system
Numerical Analysis
2020-07-01 v2 Numerical Analysis
Analysis of PDEs
Abstract
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.
Keywords
Cite
@article{arxiv.2001.11222,
title = {A convergent entropy diminishing finite volume scheme for a cross-diffusion system},
author = {Clément Cancès and Benoît Gaudeul},
journal= {arXiv preprint arXiv:2001.11222},
year = {2020}
}