17 octobre 2023
Amiens - Logis du Roy
Fuseau horaire Europe/Paris

Analysis of discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system

17 oct. 2023, 13:45
1h
Amiens - Logis du Roy

Amiens - Logis du Roy

Passage du Logis du Roy

Orateur

Marianne Bessemoulin-Chatard

Description

In this talk, I present some recent results obtained in collaboration with Francis Filbet. We study discontinuous Galerkin approximations for the Vlasov-Poisson system written as an hyperbolic system using Hermite polynomials. We introduce a new L2 weighted space, with a time dependent weight, allowing to prove global stability. Moreover, we prove the convergence of the proposed method by establishing error estimates between the numerical solution and the smooth solution to the Vlasov-Poisson system.

Documents de présentation

Aucun document.