Discontinuous Galerkin methods for Maxwell's equations in the time domain

Gary Cohen (1) , Xavier Ferrieres , Sébastien Pernet (1)

1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation

In this article, we describe a new high-order Discontinuous Galerkin approach to Maxwell's equations in the time domain. This approach is based on hexahedral meshes and uses a mass-lumping technique. Thanks to the orthogonality of the basis functions and a judicious choice of the approximation spaces, it provides an efficient solver for these equations in terms of storage and CPU time.

Gary Cohen, Xavier Ferrieres, Sébastien Pernet. Discontinuous Galerkin methods for Maxwell's equations in the time domain. Comptes Rendus. Physique, 2006, 7, pp.494-500. ⟨10.1016/j.crhy.2006.03.004⟩. ⟨hal-00977104⟩