3 papers
math.NA2026
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…
math.NA2025
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…
math.NA2025
An anisotropic nonlinear stabilization for finite element approximation of Vlasov-Poisson equations
Junjie Wen, Murtazo Nazarov
We introduce a high-order finite element method for approximating the Vlasov-Poisson equations. This approach employs continuous Lagrange polynomials in space and explicit Runge-Ku…