An adaptive edge element method with perfectly matched absorbing layers for wave scattering by biperiodic structures
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Abstract:
An edge element adaptive strategy with error control is developed for wave scattering by biperiodic structures. The unbounded computational domain is truncated to a bounded one by a perfectly matched layer (PML) technique. The PML parameters, such as the thickness of the layer and the medium properties, are determined through sharp a posteriori error estimates. Numerical experiments are presented to illustrate the competitive behavior of the proposed adaptive method.References
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Additional Information
- Gang Bao
- Affiliation: Department of Mathematics, Michigan State University, East Lansing, Michigan 48824
- Email: bao@math.msu.edu
- Peijun Li
- Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
- MR Author ID: 682916
- Email: lipeijun@math.purdue.edu
- Haijun Wu
- Affiliation: Department of Mathematics, Nanjing University, Jiangsu, 210093, China
- Email: hjw@nju.edu.cn
- Received by editor(s): March 19, 2008
- Received by editor(s) in revised form: January 1, 2009
- Published electronically: May 7, 2009
- Additional Notes: The first author’s research was supported in part by the NSF grants DMS-0604790, CCF-0514078, CCF-0830161, and EAR-0724527, the ONR grants N000140210365 and N000140910384, the National Science Foundation of China grant 10428105.
The second author’s research was supported in part by the NSF EAR-0724656.
The third author’s research was supported by the national basic research program under grant 2005CB321701, by the program for new century excellent talents in university of China, and by the NSF of China grant 10401016. - © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Math. Comp. 79 (2010), 1-34
- MSC (2000): Primary 65N30, 78A45, 35Q60
- DOI: https://doi.org/10.1090/S0025-5718-09-02257-1
- MathSciNet review: 2552215