@Article{CiCP-6-2, author = {}, title = {An Adaptive Finite Element Method with a Modified Perfectly Matched Layer Formulation for Diffraction Gratings}, journal = {Communications in Computational Physics}, year = {2009}, volume = {6}, number = {2}, pages = {290--318}, 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.

}, issn = {1991-7120}, doi = {https://doi.org/2009-CiCP-7681}, url = {https://global-sci.com/article/81145/an-adaptive-finite-element-method-with-a-modified-perfectly-matched-layer-formulation-for-diffraction-gratings} }