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Volume 22, Issue 5
An Adaptive Finite Element PML Method for the Acoustic-Elastic Interaction in Three Dimensions

Xue Jiang & Peijun Li

Commun. Comput. Phys., 22 (2017), pp. 1486-1507.

Published online: 2017-11

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  • 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.

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COPYRIGHT: © Global Science Press

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@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 = {

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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2017-0047}, url = {http://global-sci.org/intro/article_detail/cicp/10450.html} }
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 -

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.

Xue Jiang and Peijun Li. (2017). An Adaptive Finite Element PML Method for the Acoustic-Elastic Interaction in Three Dimensions. Communications in Computational Physics. 22 (5). 1486-1507. doi:10.4208/cicp.OA-2017-0047
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