Year: 2009
Author: Nengsheng Fang, Lung-An Ying
Journal of Computational Mathematics, Vol. 27 (2009), Iss. 6 : pp. 729–747
Abstract
We utilize Fourier methods to analyze the stability of the Yee difference schemes for Bérenger PML (perfectly matched layer) as well as the UPML (uniaxial perfectly matched layer) systems of two-dimensional Maxwell equations. Using a practical spectrum stability concept, we find that the two schemes are spectrum stable under the same conditions for mesh sizes. Besides, we prove that the UPML schemes with the same damping in both directions are stable. Numerical examples are given to confirm the stability analysis for the PML method.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.2009.09-m2808
Journal of Computational Mathematics, Vol. 27 (2009), Iss. 6 : pp. 729–747
Published online: 2009-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Computational electromagnetic Fourier method Yee scheme PML UPML Stability.
Author Details
-
Study on the Stability of Perfectly Matched Layer Implementations Using a Hybrid Implicit–Explicit Update Scheme
Kuen, Lilli | Schuhmann, RolfIEEE Transactions on Magnetics, Vol. 56 (2020), Iss. 2 P.1
https://doi.org/10.1109/TMAG.2019.2946754 [Citations: 1] -
Analysis of FDTD to UPML for Maxwell equations in polar coordinates
Nengsheng, Fang | Longan, YingActa Mathematica Scientia, Vol. 31 (2011), Iss. 5 P.2007
https://doi.org/10.1016/S0252-9602(11)60378-0 [Citations: 2]