TY - JOUR
T1 - Optimal L<sup>2</sup> Error Estimates for the Interior Penalty DG Method for Maxwell's Equations in Cold Plasma
AU - Jichun Li
JO - Communications in Computational Physics
VL - 2
SP - 319
EP - 334
PY - 2012
DA - 2012/12
SN - 11
DO - http://doi.org/10.4208/cicp.011209.160610s
UR - https://global-sci.org/intro/article_detail/cicp/7364.html
KW - 
AB - <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>