Abstract
We utilize Fourier methods to analyze the stability of the Yee difierence 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 flnd 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 conflrm the stability analysis for the PML method. Mathematics subject classiflcation: 65M12.
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