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A Fast Direct Boundary Element Method for 3D Acoustic Problems Based on Hierarchical Matrices
Ruoyan Li1,2, Yijun Liu1,*, Wenjing Ye2
1 Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen, China
2 Department of Mechanical and Aerospace Engineering, The Hong Kong University of Science and Technology, Hong
Kong, 999077, China
* Corresponding Author: Yijun Liu. Email:
The International Conference on Computational & Experimental Engineering and Sciences 2023, 27(1), 1-1. https://doi.org/10.32604/icces.2023.09472
Abstract
The boundary element method (BEM) for acoustic problems is a numerical method based on solving the
discretized boundary integral equation (BIE) corresponding to the Helmholtz equation. A fast direct BEM
for 3D acoustic problems is proposed in this paper, which is more suitable for broadband acoustic simulation
of complex structures, such as in the design and analysis of acoustic metamaterials. The main idea of the fast
direct solver is based on the hierarchical off-diagonal low-rank (HODLR) matrix, randomized interpolative
decomposition and fast matrix inversion formula. Several numerical examples in solving both interior and
exterior acoustic problems are presented in this paper, including radiation and scattering problems with
distributed and complex structures. The numerical results show that the same level of accuracy and higher
computational efficiency can be achieved by using this fast direct BEM compared with the conventional
direct BEM.
Keywords
Cite This Article
APA Style
Li, R., Liu, Y., Ye, W. (2023). A fast direct boundary element method for 3D acoustic problems based on hierarchical matrices. The International Conference on Computational & Experimental Engineering and Sciences, 27(1), 1-1. https://doi.org/10.32604/icces.2023.09472
Vancouver Style
Li R, Liu Y, Ye W. A fast direct boundary element method for 3D acoustic problems based on hierarchical matrices. Int Conf Comput Exp Eng Sciences . 2023;27(1):1-1 https://doi.org/10.32604/icces.2023.09472
IEEE Style
R. Li, Y. Liu, and W. Ye "A Fast Direct Boundary Element Method for 3D Acoustic Problems Based on Hierarchical Matrices," Int. Conf. Comput. Exp. Eng. Sciences , vol. 27, no. 1, pp. 1-1. 2023. https://doi.org/10.32604/icces.2023.09472