@Article{CiCP-11-319,
author = {Jichun Li},
title = {Optimal L<sup>2</sup> Error Estimates for the Interior Penalty DG Method for Maxwell's Equations in Cold Plasma},
journal = {Communications in Computational Physics},
year = {2012},
volume = {11},
number = {2},
pages = {319--334},
abstract = {<p style="text-align: justify;">In this paper, we consider an interior penalty discontinuous Galerkin (DG) method for the time-dependent Maxwell&#39;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 L<sup>2</sup>-norm. Here by filling this gap, we show that these schemes are optimally convergent in the L<sup>2</sup>-norm on quasi-uniform tetrahedral meshes if the solution is sufficiently smooth.&nbsp;<br/></p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.011209.160610s},
url = {http://global-sci.org/intro/article_detail/cicp/7364.html}
}