TY - JOUR T1 - Optimal L2 Error Estimates for the Interior Penalty DG Method for Maxwell's Equations in Cold Plasma 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 -

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.