Energy-conserving explicit and implicit time integration methods for the multi-dimensional Hermite-DG discretization of the Vlasov-Maxwell equations

DOI10.1016/j.cpc.2022.108604arXiv2110.11511OpenAlexW3208312654MaRDI QIDQ6100795

Oleksandr Koshkarov, Gianmarco Manzini, Cecilia Pagliantini, Gian Luca Delzanno, V. Roytershteyn

Publication date: 22 June 2023

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.11511

zbMATH Keywords

conservation laws3-D Vlasov-Maxwell equationsHermite-discontinuous Galerkin discretizationRunge-Kutta temporal integrators

Mathematics Subject Classification ID

Numerical analysis (65-XX) Statistical mechanics, structure of matter (82-XX)

Related Items

An efficient energy conserving semi-Lagrangian kinetic scheme for the Vlasov-Ampère system

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Volume-preserving algorithms for charged particle dynamics
• A 3(2) pair of Runge-Kutta formulas
• Vlasov simulations using velocity-scaled Hermite representations
• Explicit methods based on a class of four stage fourth order Runge-Kutta methods for preserving quadratic laws
• Explicit high-order symplectic integrators for charged particles in general electromagnetic fields
• Exactly energy conserving semi-implicit particle in cell formulation
• Discontinuous Galerkin algorithms for fully kinetic plasmas
• Energy-conserving time propagation for a structure-preserving particle-in-cell Vlasov-Maxwell solver
• Variational framework for structure-preserving electromagnetic particle-in-cell methods
• Multi-dimensional, fully-implicit, spectral method for the Vlasov-Maxwell equations with exact conservation laws in discrete form
• A Legendre-Fourier spectral method with exact conservation laws for the Vlasov-Poisson system
• Dispersion and dissipation error in high-order Runge-Kutta discontinuous Galerkin discretisations of the Maxwell equations
• Geometric integration methods that preserve Lyapunov functions
• Energy-conserving numerical approximations for Vlasov plasmas
• Numerical integration methods of the Vlasov equation
• Stability of Runge-Kutta Methods for Trajectory Problems
• Geometric Numerical Integration
• Solving Ordinary Differential Equations I
• On the Preservation of Invariants by Explicit Runge--Kutta Methods
• The Physics of Plasmas
• Solving Ordinary Differential Equations II
• Relaxation Runge--Kutta Methods: Conservation and Stability for Inner-Product Norms
• High–order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem
• On the kinetic theory of rarefied gases
• The multi-dimensional Hermite-discontinuous Galerkin method for the Vlasov-Maxwell equations