A unified boundary element method for the analysis of sound and shell-like structure interactions. II. Efficient solution techniques
A unified boundary element method for the analysis of sound and shell-like structure interactions. II. Efficient solution techniques
复制标题
用于分析声音和类壳结构相互作用的统一边界元方法。
DOI：
10.1121/1.1323719
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发表时间：
2000
影响因子：
2.4
通讯作者：
Xinyu Dou
中科院分区：
文献类型：
--
作者：
Shaohai Chen;Yijun Liu;Xinyu Dou
本文研究了用于耦合结构声学分析的边界元法（BEM）所产生的线性方程组的有效求解方法[S. H. Chen和Y. J. Liu，J. Acoust.美国社会106角1，1247-1254（1999）]。一个迭代求解器，即，准最小残差法（QMR），被选为其中之一，并发现是非常有利的直接求解器求解的线性方程组与复杂系数的结构声学边界元法。四个问题相关的预处理方案的开发，以促进或加速迭代求解器的收敛。本文还提出了一种新的专门为扫频分析设计的有效的预条件子。有了这个预条件，迭代求解器已被发现是稳定的频率扫描分析，可以收敛得更快，比直接求解器。双精度算法也被发现是非常有用的，在改善。
Efficient solution methods are investigated in this paper for solving the linear system of equations resulting from the recently developed boundary element method (BEM) for the coupled structural acoustic analysis [S. H. Chen and Y. J. Liu, J. Acoust. Soc. Am. 106, Pt. 1, 1247–1254 (1999)]. An iterative solver, namely, the quasiminimal residual method (QMR), is selected among others and found to be very favorable over the direct solver for solving the linear systems of equations with complex coefficients generated by the structural acoustic BEM. Four problem-dependent preconditioning schemes are developed to facilitate or accelerate the convergence of the iterative solver. A new effective preconditioner specially designed for frequency-sweep analysis is also presented in this paper. With this preconditioner, the iterative solver has been found to be stable in a frequency-sweep analysis and can converge much faster than the direct solver. The double-precision arithmetic is also found very useful in improvi...