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An adaptive perfectly matched layer technique for 3-D time-harmonic electromagnetic scattering problems


Authors: Junqing Chen and Zhiming Chen
Journal: Math. Comp. 77 (2008), 673-698
MSC (2000): Primary 65N30, 65N50, 78A25
DOI: https://doi.org/10.1090/S0025-5718-07-02055-8
Published electronically: December 5, 2007
MathSciNet review: 2373175
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Abstract: An adaptive perfectly matched layer (PML) technique for solving the time harmonic electromagnetic scattering problems is developed. The PML parameters such as the thickness of the layer and the fictitious medium property are determined through sharp a posteriori error estimates. Combined with the adaptive finite element method, the adaptive PML technique provides a complete numerical strategy to solve the scattering problem in the framework of FEM which produces automatically a coarse mesh size away from the fixed domain and thus makes the total computational costs insensitive to the thickness of the PML absorbing layer. Numerical experiments are included to illustrate the competitive behavior of the proposed adaptive method.


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Additional Information

Junqing Chen
Affiliation: Institute of Computational Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China
Address at time of publication: Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong
Email: jqchen@lsec.cc.ac.cn

Zhiming Chen
Affiliation: LSEC, Institute of Computational Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China
Email: zmchen@lsec.cc.ac.cn

DOI: https://doi.org/10.1090/S0025-5718-07-02055-8
Received by editor(s): March 6, 2006
Received by editor(s) in revised form: February 25, 2007
Published electronically: December 5, 2007
Additional Notes: This work was supported in part by China NSF under the grant 10428105 and by the National Basic Research Project under the grant 2005CB321701.
Article copyright: © Copyright 2007 American Mathematical Society