NUMERICAL METHODS FOR MAXWELL'S EQUATIONS IN INHOMOGENEOUS MEDIA WITH MATERIAL INTERFACES

• 来源期刊: 计算数学（英文版）
• 关键词: Embedded Boundary Methods Discontinuous Galerkin Method Electromagnetic scattering photonic waveguides.
• 年，卷（期）: 2004,（2）
• 页码范围: 156-167
• 页数: 12页
• 语种: 英文

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.