Discontinuous Galerkin method applied to electromagnetic compatibility problems: introduction of thin wire and thin resistive material models

A discontinuous Galerkin (DG) method and some physical models added to this method to treat electromagnetic compatibility problems are presented. This method is very efficient in terms of CPU-time and memory usage because of the use of a high-order spatial approximation on general unstructured meshes. Some comparisons with other schemes are presented to validate the proposed models and to point out the advantages of the DG method. In particular, some improvements of the method like the use of a local time-stepping strategy have been studied.