TY - JOUR
T1 - A Uniaxial Optimal Perfectly Matched Layer Method for Time-Harmonic Scattering Problems
AU - Yang , Xiaoying
AU - Ma , Fuming
AU - Zhang , Deyue
AU - Du , Xinwei
JO - Communications in Mathematical Research 
VL - 3
SP - 255
EP - 268
PY - 2021
DA - 2021/05
SN - 26
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19162.html
KW - uniaxial optimal perfectly matched layer, time-harmonic scattering,
convergence.
AB - <p style="text-align: justify;">We develop a uniaxial optimal perfectly matched layer (opt PML) method
for solving the time-harmonic scattering problems by choosing a particular absorbing
function with unbounded integral in a rectangular domain. With this choice, the
solution of the optimal PML problem not only converges exponentially to the solution
of the original scatting problem, but also is insensitive to the thickness of the PML
layer for sufficiently small parameter $ε_0$. Numerical experiments are included to
illustrate the competitive behavior of the proposed optimal method.</p>