An Active Flux Method for the Vlasov-Poisson System

DOI10.1007/978-3-031-40860-1_10OpenAlexW4387595093MaRDI QIDQ6191865

Erik Chudzik, Unnamed Author, Christiane Helzel

Publication date: 12 February 2024

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-40860-1_10

zbMATH Keywords

numerical simulationcomputational plasma physicsthird-order accuracyVlasov-Poisson systemactive flux method

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs with randomness, stochastic partial differential equations (35R60) Statistical mechanics of plasmas (82D10) Finite difference methods for boundary value problems involving PDEs (65N06) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Electro- and magnetostatics (78A30) Vlasov equations (35Q83) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods for boundary value problems involving PDEs (65N08)

Cites Work

• A positivity-preserving high-order semi-Lagrangian discontinuous Galerkin scheme for the Vlasov-Poisson equations
• Is discontinuous reconstruction really a good idea?
• Designing CFD methods for bandwidth -- a physical approach
• A new ADER method inspired by the active flux method
• The active flux scheme on Cartesian grids and its low Mach number limit
• The Cartesian grid active flux method with adaptive mesh refinement

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