TY - JOUR
T1 - An Adaptive Finite Element Method with a Modified Perfectly Matched Layer Formulation for Diffraction Gratings
JO - Communications in Computational Physics
VL - 2
SP - 290
EP - 318
PY - 2009
DA - 2009/06
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7681.html
KW - 
AB - <p style="text-align: justify;">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.</p>