Solving the Vlasov-Maxwell equations using Hamiltonian splitting

DOI10.1016/j.jcp.2019.06.070zbMath1452.65394OpenAlexW2955379392MaRDI QIDQ2222424

Yanyan Li

Publication date: 27 January 2021

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2019.06.070

zbMATH Keywords

Poisson bracketVlasov-Maxwell systemHamiltonian splitting method

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Vlasov equations (35Q83) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (7)

Symplectic neural networks in Taylor series form for Hamiltonian systems ⋮ Poisson Integrators Based on Splitting Method for Poisson Systems ⋮ Comparison of high-order Eulerian methods for electron hybrid model ⋮ Hamiltonian particle-in-cell methods for Vlasov-Poisson equations ⋮ An energy-conserving Fourier particle-in-cell method with asymptotic-preserving preconditioner for Vlasov-Ampère system with exact curl-free constraint ⋮ Exact splitting methods for kinetic and Schrödinger equations ⋮ Numerical simulations of one laser-plasma model based on Poisson structure

Uses Software

• GYSELA
• GEMPIC

Cites Work

• Variational formulation of particle algorithms for kinetic plasma simulations
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• Geometric Numerical Integration
• The Parabolic Spline Method (PSM) for conservative transport problems
• Convergence Analysis of a Discontinuous Galerkin/Strang Splitting Approximation for the Vlasov--Poisson Equations
• Discontinuous Galerkin Methods for the Vlasov--Maxwell Equations
• Conservative numerical schemes for the Vlasov equation

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