High order non-conforming multi-element discontinuous Galerkin method for time-domain electromagnetics

We are interested here in a multielement Discontinuous Galerkin Time Domain method to solve the system of Maxwell equations. The method is formulated on non-conforming and hybrid meshes combining an unstructured triangulation for an accurate discretization of the irregularly shaped objects with a structured (orthogonal) quadrangulation for a gain in CPU time on the rest of the computational domain. We present the discretization schemes and the theoritical aspects in 3D, and we expose the numerical simulations.