Discontinuous Galerkin Method based on Riemann fluxes for the time domain Maxwell System

Sebastien Pernet (1) , Nadezhda Serdiuk (2) , Margot Sirdey (2) , Sébastien Tordeux (2)

1 DTIS, ONERA, Université de Toulouse [Toulouse]
2 MAKUTU - Modélisation et simulation de la propagation des ondes fondées sur des mesures expérimentales pour caractériser des milieux géophysiques et héliophysiques et concevoir des objets complexes

In this report, we devise a discontinuous Galerkin method for the propagation of electromagnetic waves in a homogeneous medium. The numerical fluxes are deduced from the solution of a 1D electromagnetic problem. Numerical simulations illustrate the accuracy of the method.

Mots clés: Riemann solver; Electromagnetic waves; Finite Element; Discontinuous Galerkin; Maxwell equation

Domaines: Analyse numérique [math.NA]

Sebastien Pernet, Nadezhda Serdiuk, Margot Sirdey, Sébastien Tordeux. Discontinuous Galerkin Method based on Riemann fluxes for the time domain Maxwell System. [Research Report] RR-9431, INRIA Bordeaux - Sud-Ouest. 2021, pp.55. ⟨hal-03396721⟩