STABILITY ANALYSIS OF YEE SCHEMES TO PML AND UPML FOR MAXWELL EQUATIONS

被引：2
|
作者：
Fang, Nengsheng [1 ,2 ]
Ying, Lung-an [2 ,3 ]
机构：
[1] SW Univ Finance & Econ, Sch Finance, Chengdu 611130, Peoples R China
[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
[3] Peking Univ, Sch Math Sci, Beijing 100080, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL MATHEMATICS | 2009年 / 27卷 / 06期
关键词：
Computational electromagnetic; Fourier method; Yee scheme; PML; UPML; Stability; PERFECTLY MATCHED LAYER;
D O I：
10.4208/jcm.2009.09-m2808
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We utilize Fourier methods to analyze the stability of the Yee difference schemes for Berenger 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.
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页码：729 / 747
页数：19
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