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Multi-dimensional, fully-implicit, spectral method for the Vlasov–Maxwell equations with exact conservation laws in discrete form
GL Delzanno - Journal of Computational Physics, 2015 - Elsevier
A spectral method for the numerical solution of the multi-dimensional Vlasov–Maxwell
equations is presented. The plasma distribution function is expanded in Fourier (for the …
equations is presented. The plasma distribution function is expanded in Fourier (for the …
Conservative discontinuous Galerkin/Hermite spectral method for the Vlasov–Poisson system
F Filbet, T ** in the 1+ 1D Vlasov–Poisson system using a Fourier–Hermite
spectral representation. We describe the propagation of free energy in Fourier–Hermite …
spectral representation. We describe the propagation of free energy in Fourier–Hermite …
On the convergence of discontinuous Galerkin/Hermite spectral methods for the Vlasov–Poisson system
M Bessemoulin-Chatard, F Filbet - SIAM Journal on Numerical Analysis, 2023 - SIAM
We prove the convergence of discontinuous Galerkin approximations for the Vlasov–
Poisson system written as a hyperbolic system using Hermite polynomials in velocity. To …
Poisson system written as a hyperbolic system using Hermite polynomials in velocity. To …
Discrete unified gas kinetic scheme for electrostatic plasma and its comparison with the particle-in-cell method
H Liu, L Quan, Q Chen, S Zhou, Y Cao - Physical Review E, 2020 - APS
In this paper, we present a finite-volume direct kinetic method, the so-called discrete unified
gas kinetic scheme (DUGKS), for electrostatic plasma. One key feature of this method is the …
gas kinetic scheme (DUGKS), for electrostatic plasma. One key feature of this method is the …
Generalized Hermite spectral method and its applications to problems in unbounded domains
X **ang, Z Wang - SIAM Journal on Numerical Analysis, 2010 - SIAM
In this paper, we develop a spectral method based on generalized Hermite functions with
weight χ(x)\equiv1. We also establish some basic results on generalized Hermite orthogonal …
weight χ(x)\equiv1. We also establish some basic results on generalized Hermite orthogonal …
[HTML][HTML] A unified gas kinetic scheme for transport and collision effects in plasma
In this study, the Boltzmann equation with electric acceleration term is discretized and solved
by the unified gas-kinetic scheme (UGKS). The charged particle transport driven by electric …
by the unified gas-kinetic scheme (UGKS). The charged particle transport driven by electric …