An Adaptive Finite Element Method with a Modified Perfectly Matched Layer Formulation for Diffraction Gratings
Year: 2009
Communications in Computational Physics, Vol. 6 (2009), Iss. 2 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-CiCP-7681
Communications in Computational Physics, Vol. 6 (2009), Iss. 2 : pp. 290–318
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 29