4 papers · 1 filter
Discrete -theorem for a finite volume discretization of a nonlinear kinetic system: application to hypocoercivity
Marianne Bessemoulin-Chatard, Tino Laidin, Thomas Rey
In this article, we study the long-time behavior of a finite-volume discretization for a nonlinear kinetic reaction model involving two interacting species. Building upon the semin…
Relative Entropy for the Numerical Diffusive Limit of the Linear Jin-Xin System
Marianne Bessemoulin-Chatard, Hélène Mathis
This paper deals with the diffusive limit of the Jin and Xin model and its approximation by an asymptotic preserving finite volume scheme. At the continuous level, we determine a c…
Discrete hypocoercivity for a nonlinear kinetic reaction model
Marianne Bessemoulin-Chatard, Tino Laidin, Thomas Rey
In this article, we propose a finite volume discretization of a one dimensional nonlinear reaction kinetic model proposed in [Neumann, Schmeiser, Kint. Rel. Mod. 2016], which descr…
Hypocoercivity and diffusion limit of a finite volume scheme for linear kinetic equations
Marianne Bessemoulin-Chatard, Maxime Herda, Thomas Rey
In this article, we are interested in the asymptotic analysis of a finite volume scheme for one dimensional linear kinetic equations, with either Fokker-Planck or linearized BGK co…