127 citations · 239 across the 12 of their papers we have counts for
14 papers
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…
On the convergence of discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system
Marianne Bessemoulin-Chatard, Francis Filbet
We prove the convergence of discontinuous Galerkin approximations for the Vlasov-Poisson system written as an hyperbolic system using Hermite polynomials in velocity. To obtain sta…
On the stability of conservative discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system
Marianne Bessemoulin-Chatard, Francis Filbet
We study a class of spatial discretizations for the Vlasov-Poisson system written as an hyperbolic system using Hermite polynomials. In particular, we focus on spectral methods and…
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…
Uniform L estimates for approximate solutions of the bipolar drift-diffusion system
Marianne Bessemoulin-Chatard, Claire Chainais-Hillairet, Ansgar Jüngel
We establish uniform L bounds for approximate solutions of the drift-diffusion system for electrons and holes in semiconductor devices, computed with the Schar-fetter-Gumm…
Numerical Convergence Rate for a Diffusive Limit of Hyperbolic Systems: p-System with Damping
Christophe Berthon, Marianne Bessemoulin-Chatard, Hélène Mathis
This paper deals with diffusive limit of the p-system with damping and its approximation by an Asymptotic Preserving (AP) Finite Volume scheme. Provided the system is endowed with…
Exponential decay of a finite volume scheme to the thermal equilibrium for drift--diffusion systems
Marianne Bessemoulin-Chatard, Claire Chainais-Hillairet
In this paper, we study the large--time behavior of a numerical scheme discretizing drift-- diffusion systems for semiconductors. The numerical method is finite volume in space, im…
Study of a fully implicit scheme for the drift-diffusion system. Asymptotic behavior in the quasi-neutral limit
Marianne Bessemoulin-Chatard, Claire Chainais-Hillairet, Marie-Hélène Vignal
In this paper, we are interested in the numerical approximation of the classical time-dependent drift-diffusion system near quasi-neutrality. We consider a fully implicit in time a…
A finite volume scheme for a Keller-Segel model with additional cross-diffusion
Marianne Bessemoulin-Chatard, Ansgar Jüngel
A finite volume scheme for the (Patlak-) Keller-Segel model in two space dimensions with an additional cross-diffusion term in the elliptic equation for the chemical signal is anal…
On discrete functional inequalities for some finite volume schemes
Marianne Bessemoulin-Chatard, Claire Chainais-Hillairet, Francis Filbet
We prove several discrete Gagliardo-Nirenberg-Sobolev and Poincaré-Sobolev inequalities for some approximations with arbitrary boundary values on finite volume meshes. The keypoint…
A finite volume scheme for nonlinear degenerate parabolic equations
Marianne Bessemoulin-Chatard, Francis Filbet
We propose a second order finite volume scheme for nonlinear degenerate parabolic equations. For some of these models (porous media equation, drift-diffusion system for semiconduct…
A finite volume scheme for convection-diffusion equations with nonlinear diffusion derived from the Scharfetter-Gummel scheme
Marianne Bessemoulin-Chatard
We propose a finite volume scheme for convection-diffusion equations with nonlinear diffusion. Such equations arise in numerous physical contexts. We will particularly focus on the…