High order and energy preserving discontinuous Galerkin methods for the Vlasov-Poisson system
Numerical Analysis
2012-10-02 v2 Mathematical Physics
math.MP
Abstract
We present a computational study for a family of discontinuous Galerkin methods for the one dimensional Vlasov-Poisson system that has been recently introduced. We introduce a slight modification of the methods to allow for feasible computations while preserving the properties of the original methods. We study numerically the verification of the theoretical and convergence analysis, discussing also the conservation properties of the schemes. The methods are validated through their application to some of the benchmarks in the simulation of plasma physics.
Keywords
Cite
@article{arxiv.1209.4025,
title = {High order and energy preserving discontinuous Galerkin methods for the Vlasov-Poisson system},
author = {Blanca Ayuso de Dios and Soheil Hajian},
journal= {arXiv preprint arXiv:1209.4025},
year = {2012}
}
Comments
44 pages, 28 figures