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Iterative coupling of FEM and BEM in 3D transient elastodynamics

机译：3D瞬态弹性动力学中FEM和BEM的迭代耦合

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摘要

A domain decomposition approach is presented for the transient analysis of three-dimensional wave propagation problems. The subdomains are modelled using the FEM and/or the BEM, and the coupling of the subdomains is performed in an iterative manner, employing a sequential Neumann-Dirichlet interface relaxation algorithm which also allows for an independent choice of the time step length in each subdomain. The approach has been implemented for general 3D problems. In order to investigate the convergence behaviour of the proposed algorithm, using different combinations of FEM and BEM subdomains, a parametric study is performed with respect to the choice of the relaxation parameters. The validity of the proposed method is shown by means of two numerical examples, indicating the excellent accuracy and applicability of the new formulation.
机译：提出了一种域分解方法，用于三维波传播问题的瞬态分析。使用FEM和/或BEM对子域进行建模，并且通过使用顺序Neumann-Dirichlet接口松弛算法以迭代方式执行子域的耦合，该算法还允许在每个子域中独立选择时间步长。该方法已针对一般3D问题实施。为了研究所提出算法的收敛行为，使用有限元和BEM子域的不同组合，就松弛参数的选择进行了参数研究。通过两个数值例子说明了所提方法的有效性，表明了该新配方的优良准确性和适用性。

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