High-Order Low Dissipation Conforming Finite-Element Discretization of the Maxwell Equations

Sébastien Jund (1) , Stéphanie Salmon (2) , Eric Sonnendrücker (3, 1)

1 IRMA - Institut de Recherche Mathématique Avancée
2 LMR - Laboratoire de Mathématiques de Reims
3 CALVI - Scientific computation and visualization

In this paper, we study high order discretization methods for solving the Maxwell equations on hybrid triangle-quad meshes. We have developed high order finite edge element methods coupled with different high order time schemes and we compare results and efficiency for several schemes. We introduce in particular a class of simple high order low dissipation time schemes based on a modified Taylor expansion.

Mots clés: Maxwell's equations; edge finite element method; mass lumping; time discretization schemes

Domaines: Automatique

Sébastien Jund, Stéphanie Salmon, Eric Sonnendrücker. High-Order Low Dissipation Conforming Finite-Element Discretization of the Maxwell Equations. Communications in Computational Physics, 2012, 11 (3), pp.863-892. ⟨10.4208/cicp.100310.230511a⟩. ⟨hal-00801832⟩