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.