Discontinuous Galerkin methods for Maxwellʹs equations in the time domain

In this article, we describe a new high-order Discontinuous Galerkin approach to Maxwellʹs 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. To cite this article: G. Cohen et al., C. R. Physique 7 (2006).