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Optimal L<sup>2</sup> Error Estimates for the Interior Penalty DG Method for Maxwell's Equations in Cold Plasma

Optimal L<sup>2</sup> Error Estimates for the Interior Penalty DG Method for Maxwell's Equations in Cold Plasma
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Year:    2012

Communications in Computational Physics, Vol. 11 (2012), Iss. 2 : pp. 319–334

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. 

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.011209.160610s

Communications in Computational Physics, Vol. 11 (2012), Iss. 2 : pp. 319–334

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:   

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