# Kinetic and hyperbolic equations: modeling, analysis and numerics

Dec 12 – 16, 2022
IMT
Europe/Paris timezone

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

Dec 14, 2022, 9:00 AM
45m
Amphithéâtre Schwartz (IMT)

### Amphithéâtre Schwartz

#### IMT

Université Paul Sabatier, 118 Route de Narbonne, 31000 Toulouse France

### Speaker

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 $L^2$ 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.

### Presentation materials

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