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Posteriori Error Estimation for an Interior Penalty Discontinuous Galerkin Method for Maxwell’s Equations in Cold Plasma

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摘要 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.
作者 Jichun Li
出处 《Advances in Applied Mathematics and Mechanics》 SCIE 2009年第1期107-124,共18页 应用数学与力学进展(英文)
基金 supported by National Science Foundation grant DMS-0810896。
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