Development of discontinuous Galerkin methods for Maxwell’s equations in metamaterials and perfectly matched layers

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摘要

The discontinuous Galerkin method has proved to be an accurate and efficient way to numerically solve many differential equations. In this paper, we extend this method to solve the time-dependent Maxwell’s equations when metamaterials and perfectly matched layers are involved. Numerical results are presented to demonstrate that our method is not only simple to implement, but also quite effective in solving Maxwell’s equations in complex media.

论文关键词:78M10,65N30,35L15,Maxwell’s equations,Metamaterial,Discontinuous Galerkin method,Perfectly matched layers

论文评审过程:Available online 4 May 2011.

论文官网地址:https://doi.org/10.1016/j.cam.2011.04.040