A \(p\)-strategy with a local time-stepping method in a discontinuous Galerkin approach to solve electromagnetic problems (Q470628)

The present paper is concerned with a \(p\)-strategy with a local time-stepping strategy for a particular discontinuous Galerkin method to solve Maxwell's equations in the time domain. The authors use a method based on the frequency spectrum of the source and on a characteristic size of the cells in order to evaluate the spatial approximation order to be applied on each cell of the mesh. The stability of the method is also studied, and a stability condition is also established. In the final part of this paper, the method is applied to study the electromagnetic fields scattered by a 3D object typical of aeronautic applications.