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01.07.2024 | Original Article

Uncertainty analysis in acoustics: perturbation methods and isogeometric boundary element methods

verfasst von: Leilei Chen, Haojie Lian, Ruijin Huo, Jing Du, Weisong Liu, Zhuxuan Meng, Stéphane P. A. Bordas

Erschienen in: Engineering with Computers | Ausgabe 6/2024

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Abstract

This study proposes a generalized nth-order perturbation method based on (isogeometric) boundary element methods for uncertainty analysis in 3D acoustic scattering problems. In this paper, for the first time, we derive nth-order Taylor expansions of 3D acoustic boundary integral equations, taking incident wave frequency as a random input variable. In addition, subdivision surface basis functions used in geometric modeling are employed to discretize the generalized nth-order derivative boundary integral equations, in order to avoid cumbersome meshing procedure and retain geometric accuracy. Moreover, the fast multipole method is introduced to accelerate the stochastic perturbation analysis with boundary element methods. Numerical examples are given to demonstrate the accuracy and efficiency of the proposed uncertainty quantification algorithm.

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Metadaten
Titel
Uncertainty analysis in acoustics: perturbation methods and isogeometric boundary element methods
verfasst von
Leilei Chen
Haojie Lian
Ruijin Huo
Jing Du
Weisong Liu
Zhuxuan Meng
Stéphane P. A. Bordas
Publikationsdatum
01.07.2024
Verlag
Springer London
Erschienen in
Engineering with Computers / Ausgabe 6/2024
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-024-02018-7