A novel method to solve exterior Helmholtz problems in the case of multipole excitation and random input data is developed. The infinite element method is applied to compute the sound pressure field in the exterior fluid domain. The consideration of random input data leads to a stochastic infinite element formulation. The generalized polynomial chaos expansion of the random data results in the spectral stochastic infinite element method. As a solution technique, the non-intrusive collocation method is chosen. The performance of the spectral stochastic infinite element method is demonstrated for a time-harmonic problem and an eigenfrequency study.

中文翻译：

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振动声学中的谱随机无限元法

开发了一种解决多极激励和随机输入数据情况下外部亥姆霍兹问题的新方法。应用无限元法计算外部流体域的声压场。随机输入数据的考虑导致随机无限元公式。随机数据的广义多项式混沌展开导致谱随机无限元法。作为解决技术，选择了非侵入式搭配方法。频谱随机无限元法的性能被证明用于时谐问题和特征频率研究。