An Adaptive Finite Element Method with a Modified Perfectly Matched Layer Formulation for Diffraction Gratings

作者：Chen Jie; Wang Desheng^*; Wu Haijun

来源：Communications in Computational Physics, 2009, 6(2): 290-318.

DOI：10.4208/cicp.2009.v6.p290

• Diffraction grating
• adaptive finite element method
• PML
• a posteriori error estimates

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.

• 出版日期2009-8
• 单位南京大学; 南阳理工学院