An adaptive finite element method with PML absorbing layers
for the wave scattering by periodic structures
Zhi-ming Chen
LSEC, Institute of Computational Mathematics
Chinese Academy of Sciences
P.O. BOX 2719
Beijing 100080, PR China
zmchen@lsec.cc.ac.cn
We develop a finite element adaptive strategy with error control
for wave scattering problems by periodic structure. The unbounded
computational domain is truncated to a bounded one by an extension of
the PML technique which attenuates both the outgoing and evanescent waves
in the PML region. The PML parameters such as the thickness of the layer
and the medium property are determined through sharp a posteriori
error estimates. Numerical experiments are included to illustrate the
competitive behavior of the proposed adaptive method. This is a joint work
with Dr. Haijun Wu.