Convergence of an Explicit Iterative Leap-frog Discontinuous Galerkin Method for Time-domain Maxwell's Equations in Anisotropic Materials

摘要

We propose an explicit iterative leap-frog discontinuous Galerkin method fortime-domain Maxwell's equations in anisotropic materials and derive itsconvergence properties. The a priori error estimates are illustrated bynumerical means in some experiments. Motivated by a real application whichencompasses modeling electromagnetic wave's propagation through the eye'sstructures, we simulate our model in a 2D domain aiming to represent a simpleexample of light scattering in the outer nuclear layer of the retina.