@Article{NMTMA-11-30,
author = {Shanghui Jia, Changhui Yao and Shuai Su},
title = {Nodal Discontinuous Galerkin Method for Time-Domain Lorentz Model Equations in Meta-Materials},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2018},
volume = {11},
number = {1},
pages = {30--48},
abstract = {<p style="text-align: justify;">In this paper, Nodal discontinuous Galerkin method is presented to approximate Time-domain Lorentz model equations in meta-materials.
The upwind flux is chosen in spatial discrete scheme. Low-storage five-stage fourth-order explicit Runge-Kutta method is employed in time discrete scheme. An error estimate of accuracy $\mathcal{O}(τ^4+h^n)$ is proved under the $L^2$-norm, specially $\mathcal{O}(τ^4+h^{n+1})$ can be obtained. Numerical experiments for transverse electric (TE) case and transverse magnetic (TM) case are
demonstrated to verify the stability and the efficiency of the method in
 low and high wave frequency.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2018.m1607},
url = {http://global-sci.org/intro/article_detail/nmtma/10642.html}
}