Analysis and Application of an Equivalent Berenger's PML Model
Document Type
Article
Publication Date
11-8-2017
Publication Title
Journal of Computational and Applied Mathematics
Volume
333
First page number:
157
Last page number:
169
Abstract
The perfectly matched layer (PML) is a technique initially proposed by Bérenger for solving unbounded electromagnetic problems with the finite-difference time-domain method. In this work, we first formulate an equivalent PML model from the original Bérenger PML model in the corner region, and then establish its stability. We further develop a discontinuous Galerkin method to solve this PML model, and discrete stability similar to the continuous case is proved. To demonstrate the absorbing property of this PML model, we apply it to simulate wave propagation in metamaterials.
Keywords
Maxwell's equations; Perfectly matched layer; Discontinuous Galerkin method; Metamaterials; Wave propagation
Disciplines
Applied Mathematics
Language
English
Repository Citation
Huang, Y.,
Jia, H.,
Li, J.
(2017).
Analysis and Application of an Equivalent Berenger's PML Model.
Journal of Computational and Applied Mathematics, 333
157-169.
http://dx.doi.org/10.1016/j.cam.2017.10.036