Stretched-coordinate PMLs for Maxwell's equations in the discontinuous Galerkin time-domain method.

Perfectly matched layers for convex truncated domains with discontinuous Galerkin time domain simulations

This paper deals with the design of perfectly matched layers (PMLs) for transient acoustic wave propagation in generally-shaped convex truncated domains. After reviewing key elements to derive PML equations for such domains, we present two time-dependent formulations for the pressure-velocity system. These formulations are obtained by using a complex coordinate stretching of the time-harmonic v...

Discontinuous Galerkin Time-Domain solution of Maxwell's equations on locally-refined grids with fictitious domains

A Discontinuous Galerkin Method for the Time-Domain Solution of 3D Maxwell's Equations on Non-Conforming Locally Refined Grids

A discontinuous Galerkin method is proposed for the numerical solution of the three-dimensional time-domain Maxwell's equations. A leap frog scheme is used for advancing in time. The scheme resulting can handle highly heterogeneous material, non diffusive and highly adaptable (it has been implemented on tetrahedral or hexahedral grids, including non-conforming). In some cases, some divergence c...

Optimized Schwarz method for solving time-harmonic Maxwell's equations discretized by a discontinuous Galerkin method

Optimal non-dissipative discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials

Abstract. Simulation of electromagnetic wave propagation in metamaterials leads to more complicated time domain Maxwell’s equations than the standard Maxwell’s equations in free space. In this paper, we develop and analyze a non-dissipative discontinuous Galerkin (DG) method for solving the Maxwell’s equations in Drude metamaterials. Previous discontinuous Galerkin methods in the literature for...