Ahp— Discontinuous Galerkin Method for the Time-Dependent Maxwell's Equation: a priori Error Estimate

摘要

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.