An Adaptive Finite Element PML Method for the Acoustic-Elastic Interactionin Three Dimensions

作者：Jiang, Xue; Li, Peijun^*

来源：Communications in Computational Physics, 2017, 22(5): 1486-1507.

DOI：10.4208/cicp.OA-2017-0047

• Acoustic-elastic interaction
• perfectlymatched layer
• adaptive finite element method
• transparent boundary condition

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 problemby 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.

• 出版日期2017-11
• 单位北京邮电大学