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* Corresponding author 1 NACHOS - Numerical modeling and high performance computing for evolution problems in complex domains and heterogeneous media CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR6621 2 JAD - Laboratoire Jean Alexandre Dieudonné

Abstract : We report on results concerning a discontinuous Galerkin time domain DGTD method for the solution of Maxwell equations. This DGTD method is formulated on unstructured simplicial meshes triangles in 2-D and tetrahedra in 3-D. Within each mesh element, the electromagnetic field components are approximated by an arbitrarily high order nodal polynomial while, in the original formulation of the method, time integration is achieved by a second order Leap-Frog scheme. Here, we discuss about several recent developments aiming at improving the accuracy and the computational efficiency of this DGTD method in view of the simulation of problems involving general domains and heterogeneous media.

Keywords : hybrid explicit-implicit time stepping high order method nonconforming discretization Discontinuous Galerkin method time-domain Maxwell equations

Autor: Hassan Fahs - Loula Fezoui - Stephane Lanteri - Victorita Dolean - Francesca Rapetti -



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