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math.NA2021
Perfect Conductor Boundary Conditions for Geometric Particle-in-Cell Simulations of the Vlasov-Maxwell System in Curvilinear Coordinates
Benedikt Perse, Katharina Kormann, Eric Sonnendrücker
Structure-preserving methods can be derived for the Vlasov-Maxwell system from a discretisation of the Poisson bracket with compatible finite-elements for the fields and a particle…
math.NA2021
Variational Framework for Structure-Preserving Electromagnetic Particle-In-Cell Methods
Martin Campos Pinto, Katharina Kormann, Eric Sonnendrücker
In this article we apply a discrete action principle for the Vlasov--Maxwell equations in a structure-preserving particle-field discretization framework. In this framework the fini…