Discontinuous Galerkin Discretizations and Analysis for the Cohen–Monk Pml Model
Document Type
Article
Publication Date
6-1-2022
Publication Title
Journal of Computational and Applied Mathematics
Volume
407
Abstract
We investigate the two-dimensional (2-D) perfectly matched layer (PML) models reformulated from the 3-D PML model originally developed by Cohen and Monk in 1999. We propose the discontinuous Galerkin methods for solving both 2-D TMz and TEz models. We establish the proofs of the stability and error estimate for the proposed schemes. Finally, numerical results are presented to demonstrate the accuracy and performance of our method.
Keywords
Discontinuous Galerkin method; Maxwell's equations; Perfectly Matched Layer
Disciplines
Applied Mathematics
Repository Citation
Huang, Y.,
Li, J.,
Li, C.,
Qu, K.
(2022).
Discontinuous Galerkin Discretizations and Analysis for the Cohen–Monk Pml Model.
Journal of Computational and Applied Mathematics, 407
http://dx.doi.org/10.1016/j.cam.2021.114031