2012年10月
Efficient technique in low-frequency fast multipole boundary element method for plane-symmetric acoustic problems
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
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- ,
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- 巻
- 36
- 号
- 10
- 開始ページ
- 1493
- 終了ページ
- 1501
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/j.enganabound.2012.04.006
- 出版者・発行元
- ELSEVIER SCI LTD
The fast multipole boundary element method (FMBEM) has been well known as a highly efficient BEM with the use of the fast multipole method (FMM). In the present paper, an efficient technique for plane-symmetric acoustic problems is proposed in the framework of an FMBEM based on the original multipole expansion theory (FMBEM for low-frequency problems: LF-FMBEM). Presented here are concrete computational procedures, which are based on the symmetries among multipole expansion coefficients for a plane-symmetric sound field produced by monopole or dipole sources. The proposed technique is straightforwardly applicable to a variety of formulations for the BEM, such as hypersingular, Burton-Miller, and indirect formulations. Numerical results show an ideal improvement of computational efficiency, with the proposed technique reducing both the computation time and required memory to about 1/2(nsym) of those using the standard LF-FMBEM, where n(sym) is the number of planes of symmetry. (c) 2012 Elsevier Ltd. All rights reserved.
- リンク情報
- ID情報
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- DOI : 10.1016/j.enganabound.2012.04.006
- ISSN : 0955-7997
- Web of Science ID : WOS:000305316200006