@Article{IJNAM-6-1,
author = {},
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/2009-IJNAM-759},
url = {https://global-sci.com/article/83639/convergence-of-the-time-domain-perfectly-matched-layer-method-for-acoustic-scattering-problems}
}