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Fast multipole accelerated boundary element method for the Helmholtz equation in acoustic scattering problems |
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| Authors: | LI Sh e GAO GuiBing HUANG QiBai LIU WeiQi & CHEN Jun State Key Laboratory of Digital Manufacturing Equipment Technology Huazhong University of Science Technology Wuhan China Mechanical Engineering College Hubei University of Technology Wuhan |
| Affiliation: | LI ShanDe1,GAO GuiBing1,2,HUANG QiBai1,LIU WeiQi1,2 & CHEN Jun1 1 State Key Laboratory of Digital Manufacturing Equipment and Technology,Huazhong University of Science and Technology,Wuhan 430074,China,2 Mechanical Engineering College,Hubei University of Technology,Wuhan 430068 |
| Abstract: | We apply the fast multipole method (FMM) accelerated boundary element method (BEM) for the three-dimensional (3D) Helmholtz equation, and as a result, large-scale acoustic scattering problems involving 400000 elements are solved efficiently. This is an extension of the fast multipole BEM for two-dimensional (2D) acoustic problems developed by authors recently. Some new improvements are obtained. In this new technique, the improved Burton-Miller formulation is employed to over-come non-uniqueness difficultie... |
| Keywords: | fast multipole method boundary element method Helmholtz equation acoustic scattering problems. |
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