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

被引：0

作者：

Chen, Jie ^{[1
]}

Wang, Desheng ^{[1
]}

Wu, Haijun ^{[2
]}

机构：

[1] Nanyang Technol Univ, Sch Phys & Math Sci, Div Math Sci, Singapore 637371, Singapore

[2] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

来源：

COMMUNICATIONS IN COMPUTATIONAL PHYSICS | 2009年 / 6卷 / 02期

关键词：

Diffraction grating; adaptive finite element method; PML; a posteriori error estimates; INTEGRAL-EQUATION; SCATTERING; CONVERGENCE;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：290 / 318

页数：29

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