TY - JOUR
T1 - An Adaptive Finite Element PML Method for the Acoustic-Elastic Interaction in Three Dimensions
AU - Xue Jiang & Peijun Li
JO - Communications in Computational Physics
VL - 5
SP - 1486
EP - 1507
PY - 2017
DA - 2017/11
SN - 22
DO - http://doi.org/10.4208/cicp.OA-2017-0047
UR - https://global-sci.org/intro/article_detail/cicp/10450.html
KW - 
AB - <p style="text-align: justify;">Consider the scattering of a time-harmonic acoustic incident wave by a
bounded, penetrable, and isotropic elastic solid, which is immersed in a homogeneous
compressible air or fluid. The paper concerns the numerical solution for such an
acoustic-elastic interaction problem in three dimensions. An exact transparent boundary
condition (TBC) is developed to reduce the problem equivalently into a boundary
value problem in a bounded domain. The perfectly matched layer (PML) technique
is adopted to truncate the unbounded physical domain into a bounded computational
domain. The well-posedness and exponential convergence of the solution are established
for the truncated PML problem by using a PML equivalent TBC. An a posteriori
error estimate based adaptive finite element method is developed to solve the scattering
problem. Numerical experiments are included to demonstrate the competitive
behavior of the proposed method.</p>