@Article{AAMM-7-796,
author = {Wang , JiangxingXie , Ziqing and Chen , Chuanmiao},
title = {Implicit DG Method for Time Domain Maxwell's Equations Involving Metamaterials},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2018},
volume = {7},
number = {6},
pages = {796--817},
abstract = {<p style="text-align: justify;">An implicit discontinuous Galerkin method is introduced to solve the time-domain
Maxwell&#39;s equations in metamaterials. The Maxwell&#39;s equations in metamaterials
are represented by integral-differential equations. Our scheme is based on discontinuous
Galerkin method in spatial domain and Crank-Nicolson method in temporal
domain. The fully discrete numerical scheme is proved to be unconditionally stable.
When polynomial of degree at most $p$ is used for spatial approximation, our scheme is
verified to converge at a rate of $\mathcal{O}(τ^2+h^{p+1/2})$. Numerical results in both 2D and 3D
are provided to validate our theoretical prediction.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2014.m725},
url = {http://global-sci.org/intro/article_detail/aamm/12240.html}
}