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Volume 27, Issue 6
A Finite Element Method with Rectangular Perfectly Matched Layers for the Scattering from Cavities

Deyue Zhang, Fuming Ma & Heping Dong

DOI: 10.4208/jcm.2009.09-m2902

J. Comp. Math., 27 (2009), pp. 812-834.

Published online: 2009-12

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  • Abstract

We develop a finite element method with rectangular perfectly matched layers (PMLs) for the wave scattering from two-dimensional cavities. The unbounded computational domain is truncated to a bounded one by using of a rectangular perfectly matched layer at the open aperture. The PML parameters such as the thickness of the layer and the fictitious medium property are determined through sharp a posteriori error estimates. Numerical experiments are carried out to illustrate the competitive behavior of the proposed method.  

  • Keywords

Cavity, Perfectly matched layers, Finite element method.

  • AMS Subject Headings

35Q60, 65L60, 78A45.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-27-812, author = {Deyue Zhang, Fuming Ma and Heping Dong}, title = {A Finite Element Method with Rectangular Perfectly Matched Layers for the Scattering from Cavities}, journal = {Journal of Computational Mathematics}, year = {2009}, volume = {27}, number = {6}, pages = {812--834}, abstract = {

We develop a finite element method with rectangular perfectly matched layers (PMLs) for the wave scattering from two-dimensional cavities. The unbounded computational domain is truncated to a bounded one by using of a rectangular perfectly matched layer at the open aperture. The PML parameters such as the thickness of the layer and the fictitious medium property are determined through sharp a posteriori error estimates. Numerical experiments are carried out to illustrate the competitive behavior of the proposed method.  

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.2009.09-m2902}, url = {http://global-sci.org/intro/article_detail/jcm/8605.html} }
TY - JOUR T1 - A Finite Element Method with Rectangular Perfectly Matched Layers for the Scattering from Cavities AU - Deyue Zhang, Fuming Ma & Heping Dong JO - Journal of Computational Mathematics VL - 6 SP - 812 EP - 834 PY - 2009 DA - 2009/12 SN - 27 DO - http://doi.org/10.4208/jcm.2009.09-m2902 UR - https://global-sci.org/intro/article_detail/jcm/8605.html KW - Cavity, Perfectly matched layers, Finite element method. AB -

We develop a finite element method with rectangular perfectly matched layers (PMLs) for the wave scattering from two-dimensional cavities. The unbounded computational domain is truncated to a bounded one by using of a rectangular perfectly matched layer at the open aperture. The PML parameters such as the thickness of the layer and the fictitious medium property are determined through sharp a posteriori error estimates. Numerical experiments are carried out to illustrate the competitive behavior of the proposed method.  

Deyue Zhang, Fuming Ma and Heping Dong. (2009). A Finite Element Method with Rectangular Perfectly Matched Layers for the Scattering from Cavities. Journal of Computational Mathematics. 27 (6). 812-834. doi:10.4208/jcm.2009.09-m2902
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