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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…
physics.comp-ph2021
A mimetic discretization of the macroscopic Maxwell equations in Hamiltonian form
William Barham, Yaman Güçlü, Philip J. Morrison +1
A mimetic spectral element discretization, utilizing a novel Galerkin projection Hodge star operator, of the macroscopic Maxwell equations in Hamiltonian form is presented. The ide…