@Article{icces.2023.09472,
AUTHOR = {Ruoyan Li, Yijun Liu, Wenjing Ye},
TITLE = {A Fast Direct Boundary Element Method for 3D Acoustic Problems Based  on Hierarchical Matrices},
JOURNAL = {The International Conference on Computational \& Experimental Engineering and Sciences},
VOLUME = {27},
YEAR = {2023},
NUMBER = {1},
PAGES = {1--1},
URL = {http://www.techscience.com/icces/v27n1/54094},
ISSN = {1933-2815},
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.},
DOI = {10.32604/icces.2023.09472}
}