Talk

Structure-preserving particle schemes for Vlasov and Vlasov-Maxwell equations
Martin Campos-Pinto (Max-Planck Institute for Plasma Physics, Garching)

Variational discretizations are known for preserving key physical invariants in a natural way, leading to long-time stability properties. In this talk I will present a discrete action principle for the Vlasov-Maxwell equations that applies in a general structure-preserving discrete framework.

In this framework the finite-dimensional electromagnetic potentials and fields are represented in a discrete de Rham sequence involving general Finite Element spaces, and the particle-field coupling is represented by a set of projection operators that commute with the differential operators.

I will detail two applications of this approach: a new variational FFT-PIC method that has a discrete Hamiltonian structure, and a variational FEM-PIC involving broken spline spaces on mapped multi-patch domains.

Slides: [talk]