TY - JOUR T1 - Solving Maxwell's Equation in Meta-Materials by a CG-DG Method 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 -

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's equations when meta-materials are involved. Both the unconditional $L^2$-stability and error estimate of order $\mathcal{O}$($τ^ {r+1}$+$h^{k+\frac{1}{2}}$) 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.