@Article{CiCP-22-1486,
author = {Xue Jiang and Peijun Li},
title = {An Adaptive Finite Element PML Method for the Acoustic-Elastic Interaction in Three Dimensions},
journal = {Communications in Computational Physics},
year = {2017},
volume = {22},
number = {5},
pages = {1486--1507},
abstract = {<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>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2017-0047},
url = {http://global-sci.org/intro/article_detail/cicp/10450.html}
}