An Adaptive Finite Element PML Method for the Open Cavity Scattering Problems

An Adaptive Finite Element PML Method for the Open Cavity Scattering Problems

Year:    2021

Author:    Yanli Chen, Peijun Li, Xiaokai Yuan

Communications in Computational Physics, Vol. 29 (2021), Iss. 5 : pp. 1505–1540

Abstract

Consider the electromagnetic scattering of a time-harmonic plane wave by an open cavity which is embedded in a perfectly electrically conducting infinite ground plane. This paper is concerned with the numerical solutions of the transverse electric and magnetic polarizations of the open cavity scattering problems. In each polarization, the scattering problem is reduced equivalently into a boundary value problem of the two-dimensional Helmholtz equation in a bounded domain by using the transparent boundary condition (TBC). An a posteriori estimate based adaptive finite element method with the perfectly matched layer (PML) technique is developed to solve the reduced problem. The estimate takes account of both the finite element approximation error and the PML truncation error, where the latter is shown to decay exponentially with respect to the PML medium parameter and the thickness of the PML layer. Numerical experiments are presented and compared with the adaptive finite element TBC method for both polarizations to illustrate the competitive behavior of the proposed method.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2020-0115

Communications in Computational Physics, Vol. 29 (2021), Iss. 5 : pp. 1505–1540

Published online:    2021-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    36

Keywords:    Electromagnetic cavity scattering TM and TE polarizations perfectly matched layer adaptive finite element method a posteriori error estimates.

Author Details

Yanli Chen

Peijun Li

Xiaokai Yuan

  1. A highly efficient and accurate numerical method for the electromagnetic scattering problem with rectangular cavities

    Yuan, Xiaokai | Li, Peijun

    Journal of Computational Physics, Vol. 504 (2024), Iss. P.112870

    https://doi.org/10.1016/j.jcp.2024.112870 [Citations: 0]
  2. Well-Posedness and Convergence Analysis of PML Method for Time-Dependent Acoustic Scattering Problems Over a Locally Rough Surface

    Guo, Hongxia | Hu, Guanghui

    Computational Methods in Applied Mathematics, Vol. 24 (2024), Iss. 1 P.21

    https://doi.org/10.1515/cmam-2023-0017 [Citations: 0]
  3. The application of a novel perfectly matched layer in magnetotelluric simulations

    Lei, Da | Yang, Liangyong | Fu, Changmin | Wang, Ruo | Wang, Zhongxing

    GEOPHYSICS, Vol. 87 (2022), Iss. 3 P.E163

    https://doi.org/10.1190/geo2020-0393.1 [Citations: 3]