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

Preview Purchase PDF 100 765
Export citation
  • 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.

  • Keywords

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
Copy to clipboard
The citation has been copied to your clipboard