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| NUMERICAL METHODS FOR MAXWELL＇S EQUATIONS IN INHOMOGENEOUS MEDIA WITH MATERIAL INTERFACES | |
| 引用本文： | WeiCai. NUMERICAL METHODS FOR MAXWELL＇S EQUATIONS IN INHOMOGENEOUS MEDIA WITH MATERIAL INTERFACES[J]. 计算数学(英文版), 2004, 22(2): 156-167 |
| 作者姓名： | WeiCai |
| 作者单位： | DepartmentofMathematics,UniversityofNorthCarolinaatCharlotteCharlotte,NC28223,USA |
| 摘 要： | 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. |
| 关 键 词： | 麦克斯韦方程 地质分解线 笛卡尔哲学 有限差分法 |
Numerical Methods for Maxwell's Equations in Inhomogeneous Media with Material Interfaces |
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| Wei Cai. Numerical Methods for Maxwell's Equations in Inhomogeneous Media with Material Interfaces[J]. Journal of Computational Mathematics, 2004, 22(2): 156-167 | |
| Authors: | Wei Cai |
| 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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