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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…
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…