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Volume 6, Issue 2
An Adaptive Finite Element Method with a Modified Perfectly Matched Layer Formulation for Diffraction Gratings

Jie Chen, Desheng Wang & Haijun Wu

Commun. Comput. Phys., 6 (2009), pp. 290-318.

Published online: 2009-06

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  • Abstract

For numerical simulation of one-dimensional diffraction gratings both in TE and TM polarization, an enhanced adaptive finite element method is proposed in this paper. A modified perfectly matched layer (PML) formulation is proposed for the truncation of the unbounded domain, which results in a homogeneous Dirichlet boundary condition and the corresponding error estimate is greatly simplified. The a posteriori error estimates for the adaptive finite element method are provided. Moreover, a lower bound is obtained to demonstrate that the error estimates obtained are sharp.

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@Article{CiCP-6-290, author = {Jie Chen, Desheng Wang and Haijun Wu}, title = {An Adaptive Finite Element Method with a Modified Perfectly Matched Layer Formulation for Diffraction Gratings}, journal = {Communications in Computational Physics}, year = {2009}, volume = {6}, number = {2}, pages = {290--318}, abstract = {

For numerical simulation of one-dimensional diffraction gratings both in TE and TM polarization, an enhanced adaptive finite element method is proposed in this paper. A modified perfectly matched layer (PML) formulation is proposed for the truncation of the unbounded domain, which results in a homogeneous Dirichlet boundary condition and the corresponding error estimate is greatly simplified. The a posteriori error estimates for the adaptive finite element method are provided. Moreover, a lower bound is obtained to demonstrate that the error estimates obtained are sharp.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7681.html} }
TY - JOUR T1 - An Adaptive Finite Element Method with a Modified Perfectly Matched Layer Formulation for Diffraction Gratings AU - Jie Chen, Desheng Wang & Haijun Wu JO - Communications in Computational Physics VL - 2 SP - 290 EP - 318 PY - 2009 DA - 2009/06 SN - 6 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7681.html KW - AB -

For numerical simulation of one-dimensional diffraction gratings both in TE and TM polarization, an enhanced adaptive finite element method is proposed in this paper. A modified perfectly matched layer (PML) formulation is proposed for the truncation of the unbounded domain, which results in a homogeneous Dirichlet boundary condition and the corresponding error estimate is greatly simplified. The a posteriori error estimates for the adaptive finite element method are provided. Moreover, a lower bound is obtained to demonstrate that the error estimates obtained are sharp.

Jie Chen, Desheng Wang and Haijun Wu. (2009). An Adaptive Finite Element Method with a Modified Perfectly Matched Layer Formulation for Diffraction Gratings. Communications in Computational Physics. 6 (2). 290-318. doi:
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