@Article{CiCP-11-319, author = {}, title = {Optimal L2 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 = {

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. 

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.011209.160610s}, url = {http://global-sci.org/intro/article_detail/cicp/7364.html} }