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An efficient time-domain FEM/BEM coupling approach based on FEM implicit Green's functions and truncation of BEM time convolution process

机译:基于有限元隐式格林函数和截断BEM时间卷积过程的高效时域FEM / BEM耦合方法

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摘要

This paper describes an efficient scheme for coupling the FE and the BE methods. The domain of the original problem is subdivided into two sub-domains, which are independently modelled by the FEM and the BEM. Both sub-domains are analyzed separately and the coupling is enforced at their interface. The FEM time-marching process is carried out through an algorithm based on implicit Green's functions of the related mechanical system and the convolution process of the BEM is compressed by proper interpolation of the time generated matrices. The efficiency of the proposed scheme is improved by a special procedure to deal with different time-step choices in each sub-domain. At the end of the paper numerical examples are presented in order to illustrate the accuracy and efficiency of the present approach.
机译:本文介绍了一种将FE和BE方法耦合的有效方案。原始问题的领域分为两个子领域,分别由FEM和BEM建模。将分别分析两个子域,并在其接口处强制执行耦合。通过基于相关机械系统隐式格林函数的算法来执行FEM时间行进过程,并通过适当地对时间生成矩阵进行插值来压缩BEM的卷积过程。通过一种特殊的过程来处理每个子域中不同的时间步长选择,可以提高所提方案的效率。在本文的最后给出了数值示例,以说明本方法的准确性和效率。

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