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Volume 22, Issue 2
Numerical Methods for Maxwell's Equations in Inhomogeneous Media with Material Interfaces

Wei Cai

J. Comp. Math., 22 (2004), pp. 156-167.

Published online: 2004-04

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  • 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.

  • Keywords

Embedded Boundary Methods, Discontinuous Galerkin Method, Electromagnetic scattering photonic waveguides.

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COPYRIGHT: © Global Science Press

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@Article{JCM-22-156, author = {Wei Cai }, 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} }
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 -

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.

Wei Cai . (2004). Numerical Methods for Maxwell's Equations in Inhomogeneous Media with Material Interfaces. Journal of Computational Mathematics. 22 (2). 156-167. doi:
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