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 ...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.展开更多
基金supported by National Science Foundation grant DMS-0810896。
文摘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.
