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Optimal L2 Error Estimates for the Interior Penalty DG Method for Maxwell’s Equations in Cold Plasma

Published online by Cambridge University Press:  20 August 2015

Jichun Li*
Affiliation:
Department of Mathematical Sciences, University of Nevada, Las Vegas, Nevada 89154-4020, USA
*
*Corresponding author.Email:jichun@unlv.nevada.edu
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Abstract

In this paper, we consider an interior penalty discontinuous Galerkin (DG) method for the time-dependent Maxwell’s equations in cold plasma. In Huang and Li (J. Sci. Comput., 42 (2009), 321-340), for both semi and fully discrete DG schemes, we proved error estimates which are optimal in the energy norm, but sub-optimal in the L2-norm. Here by filling this gap, we show that these schemes are optimally convergent in the L2-norm on quasi-uniform tetrahedral meshes if the solution is sufficiently smooth.

Type
Research Article
Copyright
Copyright © Global Science Press Limited 2012

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