@Article{JCM-22-156, author = {}, title = {Numerical Methods for Maxwell's Equations in Inhomogeneous Media with Material Interfaces}, journal = {Journal of Computational Mathematics}, year = {2004}, volume = {22}, number = {2}, pages = {156--167}, abstract = {

In this paper, we will present some recent results on developing numerical methods for solving Maxwell'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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8852.html} }