TY - JOUR
T1 - Posteriori Error Estimation for an Interior Penalty Discontinuous Galerkin Method for Maxwell's Equations in Cold Plasma
AU - Li , Jichun
JO - Advances in Applied Mathematics and Mechanics
VL - 1
SP - 107
EP - 124
PY - 2009
DA - 2009/01
SN - 1
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aamm/211.html
KW - Posteriori error estimator, Maxwell's equations, cold plasma, discontinuous
Galerkin method.
AB - <p style="text-align: justify;">In this paper, we develop a residual-based a posteriori error 
estimator for the time-dependent Maxwell&#39;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&#39;s equations in dispersive media.</p>