2 citations · 4 across the 10 of their papers we have counts for
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A second-order structure- and positivity-preserving convex limiting method for the Vlasov equations
Katharina Kormann, Murtazo Nazarov, Junjie Wen
In this paper, we introduce a novel second-order, positivity-preserving finite element method for the Vlasov equations using a convex limiting algorithm. The method employs strong-…
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…