TY - JOUR
T1 - An Adaptive Finite Element PML Method for the Open Cavity Scattering Problems
AU - Chen , Yanli
AU - Li , Peijun
AU - Yuan , Xiaokai
JO - Communications in Computational Physics
VL - 5
SP - 1505
EP - 1540
PY - 2021
DA - 2021/03
SN - 29
DO - http://doi.org/10.4208/cicp.OA-2020-0115
UR - https://global-sci.org/intro/article_detail/cicp/18724.html
KW - Electromagnetic cavity scattering, TM and TE polarizations, perfectly matched layer,
adaptive finite element method, a posteriori error estimates.
AB - <p style="text-align: justify;">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&nbsp;<span style="text-align: justify;">both</span>&nbsp;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.</p>