3 papers
math-ph2021
A Hamiltonian model for the macroscopic Maxwell equations using exterior calculus
William Barham, Philip J. Morrison, Eric Sonnendrücker
A Hamiltonian field theory for the macroscopic Maxwell equations with fully general polarization and magnetization is stated in the language of differential forms. The precise proc…
physics.comp-ph2021
On Geometric Fourier Particle In Cell Methods
Martin Campos Pinto, Jakob Ameres, Katharina Kormann +1
In this article we describe a unifying framework for variational electromagnetic particle schemes of spectral type, and we propose a novel spectral Particle-In-Cell (PIC) scheme th…
math.NA2007
An adaptive numerical method for the Vlasov equation based on a multiresolution analysis
Nicolas Besse, Francis Filbet, Michael Gutnic +2
In this paper, we present very first results for the adaptive solution on a grid of the phase space of the Vlasov equation arising in particles accelarator and plasma physics. The…