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

DOI10.1016/j.jcp.2021.110881OpenAlexW3217468607MaRDI QIDQ2134792

Marianne Bessemoulin-Chatard, Francis Filbet

Publication date: 3 May 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.07468

zbMATH Keywords

discontinuous Galerkin methodVlasov-Poissonenergy conservingHermite spectral method

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Ionized gas flow in electromagnetic fields; plasmic flow (76Xxx)

Related Items (7)

On a discrete framework of hypocoercivity for kinetic equations ⋮ Highly efficient energy-conserving moment method for the multi-dimensional Vlasov-Maxwell system ⋮ Error analysis of Fourier–Legendre and Fourier–Hermite spectral-Galerkin methods for the Vlasov–Poisson system ⋮ Physics-based adaptivity of a spectral method for the Vlasov-Poisson equations based on the asymmetrically-weighted Hermite expansion in velocity space ⋮ On the Convergence of Discontinuous Galerkin/Hermite Spectral Methods for the Vlasov–Poisson System ⋮ A structure and asymptotic preserving scheme for the Vlasov-Poisson-Fokker-Planck model ⋮ Fokker-Planck multi-species equations in the adiabatic asymptotics

Uses Software

• Vador

Cites Work

• On the velocity space discretization for the Vlasov-Poisson system: comparison between implicit Hermite spectral and particle-in-cell methods
• Study of conservation and recurrence of Runge-Kutta discontinuous Galerkin schemes for Vlasov-Poisson systems
• A discontinuous Galerkin method for the Vlasov-Poisson system
• Discontinuous Galerkin methods for the one-dimensional Vlasov-Poisson system
• Comparison of Eulerian Vlasov solvers
• Numerical solution of the Vlasov-Poisson system using generalized Hermite functions
• High order resolution of the Maxwell-Fokker-Planck-Landau model intended for ICF applications
• A finite element code for the simulation of one-dimensional Vlasov plasmas. I: Theory
• A finite element code for the simulation of one-dimensional Vlasov plasmas. II: Applications
• The semi-Lagrangian method for the numerical resolution of the Vlasov equation
• Vlasov simulations using velocity-scaled Hermite representations
• A splitting algorithm for Vlasov simulation with filamentation filtration
• Numerical integration of the Vlasov equation
• Arbitrary-order time-accurate semi-Lagrangian spectral approximations of the Vlasov-Poisson system
• Filtered hyperbolic moment method for the Vlasov equation
• A Legendre-Fourier spectral method with exact conservation laws for the Vlasov-Poisson system
• Computing nearly singular solutions using pseudo-spectral methods
• Numerical integration methods of the Vlasov equation
• Spectral Methods for Time-Dependent Problems
• Convergence of a Finite Volume Scheme for the Vlasov--Poisson System
• DISCONTINUOUS GALERKIN METHODS FOR THE MULTI-DIMENSIONAL VLASOV–POISSON PROBLEM
• The Hermite Spectral Method for Gaussian-Type Functions
• Spectral velocity discretizations for the Vlasov-Maxwell equations
• Convergence of Spectral Discretizations of the Vlasov--Poisson System
• A stabilized Hermite spectral method for second‐order differential equations in unbounded domains
• MODELING AND NUMERICAL SIMULATION OF SPACE CHARGE DOMINATED BEAMS IN THE PARAXIAL APPROXIMATION
• Hermite Spectral Methods with a Time-Dependent Scaling for Parabolic Equations in Unbounded Domains
• Nonlinear Effects from Vlasov's Equation
• Conservative numerical schemes for the Vlasov equation

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