5 papers · 1 filter
A Comparison of Active Flux Methods for the Vlasov-Poisson System
Lukas Hensel, Yanick Kiechle, Rainer Grauer +3
Active Flux is a third-order accurate, fairly novel finite volume method for hyperbolic conservation laws that is becoming increasingly popular. It evolves additional nodal degrees…
Positivity-preserving dynamical low-rank methods for the Vlasov equation
Katharina Kormann, Murtazo Nazarov, Junjie Wen
In this manuscript, we introduce positivity-preserving correction methods for low-rank approximations of the Vlasov equation. The key idea is to formulate structural properties, in…
A structure-preserving finite element framework for the Vlasov-Maxwell system
Katharina Kormann, Murtazo Nazarov, Junjie Wen
We present a stabilized, structure-preserving finite element framework for solving the Vlasov-Maxwell equations. The method uses a tensor product of continuous polynomial spaces fo…
A split-step Active Flux method for the Vlasov-Poisson system
Lukas Hensel, Gudrun Grünwald, Katharina Kormann +1
Active Flux is a modified Finite Volume method that evolves additional Degrees of Freedom for each cell that are located on the interface by a non-conservative method to compute hi…
Convergence of splitting methods on rotating grids for the magnetized Vlasov equation
Nils Schild, Mario Raeth Klaus Hallatschek, Katharina Kormann
Semi-Lagrangian solvers for the Vlasov system offer noiseless solutions compared to Lagrangian particle methods and can handle larger time steps compared to Eulerian methods. In or…