Abstract: | In this paper, we develop a residual-based a posteriori error
estimator for the time-dependent Maxwell's equations in the cold
plasma. Here we consider a semi-discrete interior penalty
discontinuous Galerkin (DG) method for solving the governing
equations. We provide both the upper bound and lower bound analysis
for the error estimator. This is the first posteriori error analysis
carried out for the Maxwell's equations in dispersive media. |