3 papers
math.NA2025
The Linearized Vlasov-Maxwell System as a Hamiltonian System
Dominik Bell, Martin Campos Pinto, Stefan Possanner +1
We present a Hamiltonian formulation for the linearized Vlasov-Maxwell system with a Maxwellian background distribution function. We discuss the geometric properties of the model a…
physics.comp-ph2024
A Hamiltonian structure-preserving discretization of Maxwell's equations in nonlinear media
William Barham, Yaman Güçlü, Philip J. Morrison +1
A simple Hamiltonian modeling framework for general models in nonlinear optics is given. This framework is specialized to describe the Hamiltonian structure of electromagnetic phen…
math.NA2024
Structure preserving hybrid Finite Volume Finite Element method for compressible MHD
Francesco Fambri, Eric Sonnendrücker
In this manuscript we present a novel and efficient numerical method for the compressible viscous and resistive MHD equations for all Mach number regimes. The time-integration stra…