A New Symmetric Discontinuous Galerkin Formulation for the Time-Dependent Maxwell’s Equation

Abstract

A discontinuous Galerkin method for the numerical approximation for the time-dependant Maxwell's equations in "stable medium" with supraconductive boundary, is introduced and analysed. its hp−analysis is carried out and error estimates that are optimal in the meshsize h and slightly suboptimal in the approximation degree p are obtained.