Ruoyan Li1,2, Yijun Liu1,*, Wenjing Ye2
The International Conference on Computational & Experimental Engineering and Sciences, Vol.27, No.1, pp. 1-1, 2023, DOI: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 More >
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