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声波与弹性体相互作用的有限元研究
引用本文:宗志雄,潘文峰,赵登虎.声波与弹性体相互作用的有限元研究[J].武汉理工大学学报(交通科学与工程版),2011,35(5).
作者姓名:宗志雄  潘文峰  赵登虎
作者单位:1. 武汉理工大学理学院 武汉430070
2. 南京政治学院基础部 南京 210003
摘    要:研究了流-固耦合相互作用的声散射问题.基于DtN映射方法,将无界区域化为有界区域,证明了等价性;基于变分原理,证明了求解这类声散射问题的一种自然边界元与有限元耦合的求解方法,并证明了解的存在性和惟一性.

关 键 词:声散射  流固耦合  有限元和自然边界元  

On the FEM for the Acoustic Scattering and the Elastic Interaction
Zong Zhixiong,Pan Wenfeng,Zhao Denghu.On the FEM for the Acoustic Scattering and the Elastic Interaction[J].journal of wuhan university of technology(transportation science&engineering),2011,35(5).
Authors:Zong Zhixiong  Pan Wenfeng  Zhao Denghu
Institution:Zong Zhixiong1) Pan Wenfeng1) Zhao Denghu2) (Dept.of Mathematics,Wuhan University of Technology,Wuhan 430074,China)1)(Foundation Department,Nanjing Politics Institute of PLA,Nanjing 210003,China)2)
Abstract:The paper is concerned with the acoustic scattering problem by a elastic obstacle immersed in a fluid.Based on DtN mapping,the equivalence is proved between a original external and limitless filed and a limitary field.Based on the variational principle,a coupling method of the finite-element and natural boundary-element was analyzed and presented for solving numerically the acoustic scattering problem,and the existence and uniqueness are proved.
Keywords:acoustic scattering  couple of fluid-elastic  FEM & NBEM  
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