TY - JOUR
T1 - An hp Adaptive Uniaxial Perfectly Matched Layer Method for Helmholtz Scattering Problems
AU - Zhiming Chen, Benqi Guo & Yuanming Xiao
JO - Communications in Computational Physics
VL - 2-4
SP - 546
EP - 564
PY - 2009
DA - 2009/02
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7749.html
KW - 
AB - <p style="text-align: justify;">We propose an adaptive strategy for solving high frequency Helmholtz scattering problems. The method is based on the uniaxial PML method to truncate the scattering problem which is defined in the unbounded domain into the bounded domain.
The parameters in the uniaxial PML method are determined by sharp a posteriori error estimates developed by Chen and Wu [8]. An hp-adaptive finite element strategy
is proposed to solve the uniaxial PML equation. Numerical experiments are included
which indicate the desirable exponential decay property of the error.</p>