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

Autor:	Bessemoulin-Chatard, Marianne, Filbet, Francis
Rok vydání:	2022
Předmět:	Mathematics - Numerical Analysis
Druh dokumentu:	Working Paper
Popis:	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 stability properties, we introduce a suitable weighted L 2 space, with a time dependent weight, and first prove global stability for the weighted L 2 norm and propagation of regularity. Then we prove error estimates between the numerical solution and the smooth solution to the Vlasov-Poisson system.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2208.12503 Zobrazit plný text záznamu View this record from Arxiv