5 papers
Discrete hypocoercive estimates for discontinuous Galerkin methods: application to the Vlasov-Poisson-Fokker-Planck system
Yi Cai, Alain Blaustein, Tao Xiong +1
We develop and analyze a class of structure-preserving discontinuous Galerkin schemes for the nonlinear Vlasov-Poisson-Fokker-Planck model, reformulated as a hyperbolic system thro…
Convergence analysis of a Crank-Nicolson scheme for strongly magnetized plasmas
Francis Filbet, L Miguel Rodrigues, Kim Han Trinh
The present paper is devoted to the convergence analysis of an asymptotic preserving particle scheme designed to serve as a particle pusher in a Particle-In-Cell (PIC) method for t…
A modified Crank-Nicolson scheme for the Vlasov-Poisson system with a strong external magnetic field
Francis Filbet, L Miguel Rodrigues, Kim Han Trinh
We propose and study a Particle-In-Cell (PIC) method based on the Crank-Nicolson time discretization for the Vlasov-Poisson system with a strong and inhomogeneous external magnetic…
A structure and asymptotic preserving scheme for the quasineutral limit of the Vlasov-Poisson system
Alain Blaustein, Giacomo Dimarco, Francis Filbet +1
In this work, we propose a new numerical method for the Vlasov-Poisson system that is both asymptotically consistent and stable in the quasineutral regime, i.e. when the Debye leng…
On the approximation of the von Neumann equation in the semiclassical limit. Part II : numerical analysis
Francis Filbet, François Golse
This paper is devoted to the numerical analysis of the Hermite spectral method proposed in [14], which provides, in the semiclassical limit, an asymptotic preserving approximation…