@Article{CSIAM-AM-1-2,
author = {Yuan, Xiaokai and Gang, Bao and Peijun, Li},
title = {An Adaptive Finite Element DtN Method for the Open Cavity Scattering Problems},
journal = {CSIAM Transactions on Applied Mathematics},
year = {2020},
volume = {1},
number = {2},
pages = {316--345},
abstract = {<p style="text-align: justify;">Consider the scattering of a time-harmonic electromagnetic plane wave by
an open cavity which is embedded in a perfectly electrically conducting infinite ground
plane. This paper concerns the numerical solutions of the open cavity scattering problems in both transverse magnetic and transverse electric polarizations. Based on the
Dirichlet-to-Neumann (DtN) map for each polarization, a transparent boundary condition is imposed to reduce the scattering problem equivalently into a boundary value
problem in a bounded domain. An a posteriori error estimate based adaptive finite
element DtN method is proposed. The estimate consists of the finite element approximation error and the truncation error of the DtN operator, which is shown to decay
exponentially with respect to the truncation parameter. Numerical experiments are
presented for both polarizations to illustrate the competitive behavior of the adaptive
method.</p>},
issn = {2708-0579},
doi = {https://doi.org/10.4208/csiam-am.2020-0013},
url = {https://global-sci.com/article/82378/an-adaptive-finite-element-dtn-method-for-the-open-cavity-scattering-problems}
}