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

：Francis Filbet (Université Toulouse III – Paul Sabatier )
：2022-03-22 16:30
：腾讯会议ID：525706938（无密码）

报告人：Francis Filbet（法国图卢兹第三大学）

时  间：3月22日下午16:30

地  点：腾讯会议ID：525706938（无密码）

内容摘要:

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 discontinuous Galerkin approximations. To obtain L2 stability properties, we introduce a new L2 weighted space, with a time dependent weight. For the Hermite spectral form of the Vlasov-Poisson system, we prove conservation of mass, momentum and total energy, as well as global stability for the weighted L2 norm. These properties are then discussed for several spatial discretizations. Finally, numerical simulations are performed with the proposed DG/Hermite spectral method to highlight its stability and conservation features.

个人简介：

Francis Filbet, 法国图卢兹第三大学教授，等离子物理数学建模、生物数学和数值算法研究领域国际知名专家。2012年入选法国Blaise Pascal奖（应用数学奖）。2015年入选法国大学研究院(IUF)研究员。现任SIAM Journal on Scientific Computing编委。

 

联系人：熊涛