@Article{CiCP-19-1242,
author = {Ziqing Xie, Jiangxing Wang, Bo Wang and Chuanmiao Chen},
title = {Solving Maxwell's Equation in Meta-Materials by a CG-DG Method},
journal = {Communications in Computational Physics},
year = {2018},
volume = {19},
number = {5},
pages = {1242--1264},
abstract = {<p style="text-align: justify;">In this paper, an approach combining the DG method in space with CG
method in time (CG-DG method) is developed to solve time-dependent Maxwell&#39;s
equations when meta-materials are involved. Both the unconditional $L^2$-stability and
error estimate of order <span style="color: #111F2C; font-family: &quot;Microsoft YaHei&quot;, &quot;Segoe UI&quot;, system-ui, Roboto, &quot;Droid Sans&quot;, &quot;Helvetica Neue&quot;, sans-serif, Tahoma, &quot;Segoe UI SymbolMyanmar Text&quot;, 微软雅黑; font-size: 14px; white-space: pre-wrap; background-color: #FFFFFF;">$\mathcal{O}$</span>($τ^ {r+1}$+$h^{k+\frac{1}{2}}$) are obtained when polynomials of degree at
most r is used for the temporal discretization and at most k for the spatial discretization.
Numerical results in 3D are given to validate the theoretical results.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.scpde14.35s},
url = {http://global-sci.org/intro/article_detail/cicp/11127.html}
}