TY - JOUR
T1 - Convergence of the Time-Domain Perfectly Matched Layer Method for Acoustic Scattering Problems
AU - Z. Chen
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 124
EP - 146
PY - 2009
DA - 2009/06
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/759.html
KW - Perfectly matched layer, acoustic scattering, exponential convergence, stability.
AB - <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>