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Francis Filbet (Université de Toulouse)
Thursday 26 May 2022, 09:00-10:00
On the stability of conservative discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system
- 👤 Speaker: Francis Filbet (Université de Toulouse)
- 📅 Date & Time: Thursday 26 May 2022, 09:00 - 10:00
- 📍 Venue: Seminar Room 1, Newton Institute
Abstract
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 L 2 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.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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