Posteriori Error Estimation for an Interior Penalty Discontinuous Galerkin Method for Maxwell's Equations in Cold Plasma
Year: 2009
Author: Jichun Li
Advances in Applied Mathematics and Mechanics, Vol. 1 (2009), Iss. 1 : pp. 107–124
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-AAMM-211
Advances in Applied Mathematics and Mechanics, Vol. 1 (2009), Iss. 1 : pp. 107–124
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Posteriori error estimator Maxwell's equations cold plasma discontinuous Galerkin method.