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首页> 外文期刊>Engineering analysis with boundary elements >An efficient BE iterative--solver-based substructuring algorithm for 3D time-harmonic problems in elastodynamics
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An efficient BE iterative--solver-based substructuring algorithm for 3D time-harmonic problems in elastodynamics

机译：弹性力学中3D时间谐波问题的基于BE迭代器的高效子构造算法

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摘要

This work is concerned with the development of an efficient and general algorithm to solve frequency-domain problems modelled by the boundary element method based on a sub-region technique. A specific feature of the algorithm discussed here is that the global sparse matrix of the coupled system is implicitly considered, i.e. problem quantities are not condensed into interface variables. The proposed algorithm requires that only the block matrices with non-zero complex-valued coefficients be stored and manipulated during the analysis process. In addition, the efficiency of the technique presented is improved by using iterative solvers. The good performance of pre-conditioned iterative solvers for systems of equations having real--valued coefficients, well demonstrated in the literature, is confirmed for the present case where the system matrix coefficients are complex. The efficiency of the algorithm described here is verified by analysing a soil--machine foundation interaction problem. CPU time and accuracy are the parameters used for estimating the computational efficiency.
机译：这项工作涉及开发一种有效且通用的算法，以解决基于子区域技术的边界元方法建模的频域问题。这里讨论的算法的一个特定特征是隐式考虑了耦合系统的全局稀疏矩阵，即问题量不被压缩为接口变量。所提出的算法要求在分析过程中仅存储和处理具有非零复数值系数的块矩阵。此外，通过使用迭代求解器可以提高所提出技术的效率。对于系统矩阵系数复杂的当前情况，已经证实了预迭代迭代求解器对于具有实值系数的方程组系统的良好性能，这在文献中已得到充分证明。通过分析土壤-机器基础相互作用问题，可以验证本文所述算法的效率。 CPU时间和准确性是用于估计计算效率的参数。

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