@Article{CiCP-19-534,
author = {Xinming Wu and Weiying Zheng},
title = {An Adaptive Perfectly Matched Layer Method for Multiple Cavity Scattering Problems},
journal = {Communications in Computational Physics},
year = {2018},
volume = {19},
number = {2},
pages = {534--558},
abstract = {<p style="text-align: justify;">A uniaxial perfectly matched layer (PML) method is proposed for solving
the scattering problem with multiple cavities. By virtue of the integral representation
of the scattering field, we decompose the problem into a system of single-cavity
scattering problems which are coupled with Dirichlet-to-Neumann maps. A PML is
introduced to truncate the exterior domain of each cavity such that the computational
domain does not intersect those for other cavities. Based on a posteriori error estimates,
an adaptive finite element algorithm is proposed to solve the coupled system.
The novelty of the proposed method is that its computational complexity is comparable
to that for solving uncoupled single-cavity problems. Numerical experiments are
presented to demonstrate the efficiency of the adaptive PML method.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.040215.280815a},
url = {http://global-sci.org/intro/article_detail/cicp/11099.html}
}