TY - JOUR
T1 - Stability Analysis of Yee Schemes to PML and UPML for Maxwell Equations
AU - Fang , Nengsheng
AU - Ying , Lung-An
JO - Journal of Computational Mathematics
VL - 6
SP - 729
EP - 747
PY - 2009
DA - 2009/12
SN - 27
DO - http://doi.org/10.4208/jcm.2009.09-m2808
UR - https://global-sci.org/intro/article_detail/jcm/8600.html
KW - Computational electromagnetic, Fourier method, Yee scheme, PML, UPML,
Stability.
AB - <p style="text-align: justify;">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.</p>