An adaptive finite element method with a modified perfectly matched layer formulation for diffraction gratings

Jie Chen*, Desheng Wang, Haijun Wu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)290-318
Number of pages29
JournalCommunications in Computational Physics
Issue number2
Publication statusPublished - Aug 2009
Externally publishedYes


  • A posteriori error estimates
  • Adaptive finite element method
  • Diffraction grating
  • PML

Cite this