TY - JOUR
T1 - Numerical Methods for Maxwell's Equations in Inhomogeneous Media with Material Interfaces
AU - Wei Cai 
JO - Journal of Computational Mathematics
VL - 2
SP - 156
EP - 167
PY - 2004
DA - 2004/04
SN - 22
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8852.html
KW - Embedded Boundary Methods, Discontinuous Galerkin Method, Electromagnetic scattering photonic waveguides.
AB - <p style="text-align: justify;">In this paper, we will present some recent results on developing numerical methods for solving Maxwell&#39;s equations in inhomogeneous media with material interfaces. First, we will present a second order upwinding embedded boundary method — a Cartesian grid based finite difference method with special upwinding treatment near the material interfaces. Second, we will present a high order discontinuous spectral element with Dubinar orthogonal polynomials on triangles. Numerical results on electromagnetic scattering and photonic waveguide will be included.</p>