A fast direct boundary element method for 3D acoustic problems based on hierarchical matrices
A fast direct boundary element method for 3D acoustic problems based on hierarchical matrices
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DOI：
10.1016/j.enganabound.2022.11.035
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发表时间：
2023
期刊：
影响因子：
--
通讯作者：
Wenjing Ye
中科院分区：
文献类型：
--
作者：
Ruoyan Li;Yijun Liu;Wenjing Ye
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.
