@Article{IJNAM-6-124,
author = {Z. Chen},
title = {Convergence of the Time-Domain Perfectly Matched Layer Method for Acoustic Scattering Problems},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2009},
volume = {6},
number = {1},
pages = {124--146},
abstract = {<p style="text-align: justify;">In this paper we establish the stability and convergence of the
time-domain perfectly matched layer (PML) method for solving the acoustic
scattering problems. We first prove the well-posedness and the stability of
the time-dependent acoustic scattering problem with the Dirichlet-to-Neumann
boundary condition. Next we show the well-posedness of the unsplit-field PML
method for the acoustic scattering problems. Then we prove the exponential
convergence of the non-splitting PML method in terms of the thickness and
medium property of the artificial PML layer. The proof depends on a stability
result of the PML system for constant medium property and an exponential
decay estimate of the modified Bessel functions.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/759.html}
}