TY - JOUR
T1 - Solving Maxwell's Equation in Meta-Materials by a CG-DG Method
AU - Ziqing Xie, Jiangxing Wang, Bo Wang & Chuanmiao Chen
JO - Communications in Computational Physics
VL - 5
SP - 1242
EP - 1264
PY - 2018
DA - 2018/04
SN - 19
DO - http://doi.org/10.4208/cicp.scpde14.35s
UR - https://global-sci.org/intro/article_detail/cicp/11127.html
KW - 
AB - <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>