An Adaptive Finite Element PML Method for the Acoustic-Elastic Interaction in Three Dimensions. (31st October 2017)

• Record Type: Journal Article
• Authors: Jiang, Xue; Li, Peijun
• Is Part Of: Communications in computational physics. Volume 22:Number 5(2017:Nov.)
• Page Start: 1486
• Page End: 1507
• Publication Date: 2017-10-31
• Subjects: 65N30, -- 78M10, -- 35Q99; Acoustic-elastic interaction, -- perfectly matched layer, -- adaptive finite element method, -- transparent boundary condition; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.OA-2017-0047
• Languages: English
• ISSNs: 1815-2406

Abstract

Abstract: 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.