Volume 27, Issue 6
Stability Analysis of Yee Schemes to PML and UPML for Maxwell Equations

Nengsheng Fang & Lung-an Ying

J. Comp. Math., 27 (2009), pp. 729-747.

Published online: 2009-12

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  • Abstract

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 Yee schemes are spectrum stable under the same conditions of mesh sizes. Numerical examples are given to confirm the stabilities analysis of PML at last.

  • Keywords

Computational electromagnetic Fourier method Yee scheme PML UPML Stability

  • AMS Subject Headings

65M12.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-27-729, author = {}, title = {Stability Analysis of Yee Schemes to PML and UPML for Maxwell Equations}, journal = {Journal of Computational Mathematics}, year = {2009}, volume = {27}, number = {6}, pages = {729--747}, abstract = {

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 Yee schemes are spectrum stable under the same conditions of mesh sizes. Numerical examples are given to confirm the stabilities analysis of PML at last.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.2009.09-m2808}, url = {http://global-sci.org/intro/article_detail/jcm/8600.html} }
TY - JOUR T1 - Stability Analysis of Yee Schemes to PML and UPML for Maxwell Equations 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 KW - Fourier method KW - Yee scheme KW - PML KW - UPML KW - Stability AB -

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 Yee schemes are spectrum stable under the same conditions of mesh sizes. Numerical examples are given to confirm the stabilities analysis of PML at last.

Nengsheng Fang & Lung-an Ying. (2019). Stability Analysis of Yee Schemes to PML and UPML for Maxwell Equations. Journal of Computational Mathematics. 27 (6). 729-747. doi:10.4208/jcm.2009.09-m2808
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