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首页> 外文期刊>Engineering analysis with boundary elements >Performance of iterative solvers for acoustic problems. Part Ⅱ. Acceleration by ILU-type preconditioner
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Performance of iterative solvers for acoustic problems. Part Ⅱ. Acceleration by ILU-type preconditioner

机译：声学问题迭代求解器的性能。第二部分。通过ILU型预处理器进行加速

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We are presenting an incomplete factorization preconditioner for the boundary integral formulation of the time harmonic Helmholtz equation in 3D. Out of the matrix of the near field interactions of a Fast Boundary Element Method, we are constructing the preconditioner using an incomplete LU-factorization provided in the SPARSKIT V. 2 package by Saad. This preconditioner is tested and discussed for Restarted GMRes and for CGNR. Application showed little influence on internal problems. Therefore, the paper is dedicated to external problems only. These problems solved by the hypersingular formulation of Burton and Miller is strongly affected by this preconditioner. Especially for non-smooth surfaces, the preconditioner reduces the number of iterations needed by GMRes or CGNR significantly. Examples that are investigated are a cat's eye, a tire noise problem and a piston compressor.
机译：我们为3D时间谐波Helmholtz方程的边界积分公式提出了不完全分解因子预处理器。从快速边界元方法的近场相互作用矩阵中，我们将使用Saad在SPARSKIT V. 2软件包中提供的不完全LU分解来构造预处理器。已针对重新启动的GMR和CGNR测试并讨论了该预处理器。应用对内部问题影响很小。因此，本文仅针对外部问题。这些预处理器极大地影响了由伯顿和米勒的超奇异配方解决的这些问题。尤其对于非光滑表面，预处理器可显着减少GMRes或CGNR所需的迭代次数。被研究的例子有猫眼，轮胎噪音问题和活塞压缩机。

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