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COMPARATIVE STUDY OF TWO DIFFERENT FMM-BEM METHODS IN SOLVING 2-D ACOUSTIC TRANSMISSION PROBLEMS WITH A MULTILAYERED OBSTACLE
Meng, Wenhui1; Cui, Junzhi2
2011-02-01
发表期刊INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
ISSN0219-4554
卷号11期号:1页码:197-214
摘要The fast multipole method (FMM) is an effective approach for accelerating the computation efficiency of the boundary element method (BEM) in solving problems that are computationally intensive. This paper presents two different BEMs, i.e., Kress' and Seydou's methods, for solving two-dimensional (2D) acoustic transmission problems with a multilayered obstacle, along with application of the FMM to solution of the related boundary integral equations. Conventional BEM requires O(MN(2)) operations to compute the equations for this problem. By using the FMM, both the amount of computation and the memory requirement of the BEM are reduced to order O(MN), where M is the number of layers of the obstacle. The efficiency and accuracy of this approach in dealing with the acoustic transmission problems containing a multilayered obstacle are demonstrated in the numerical examples. It is confirmed that this approach can be applied to solving the acoustic transmission problems for an obstacle with multilayers.
关键词Acoustic transmission problem fast multipole method boundary element method multilayered obstacle
DOI10.1142/S021945541100404X
语种英语
资助项目Special Funds for National Basic Research Program of China (973 Program)[2010CB832702] ; National Natural Science Foundation of China[90916027] ; State Key Laboratory of Science and Engineering Computing ; Center for High Performance Computing, Northwestern Polytechnic University in China
WOS研究方向Engineering ; Mechanics
WOS类目Engineering, Civil ; Engineering, Mechanical ; Mechanics
WOS记录号WOS:000287410400009
出版者WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/12443
专题计算数学与科学工程计算研究所
通讯作者Meng, Wenhui
作者单位1.NW Polytech Univ, Dept Appl Math, Sch Sci, Xian 710072, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100080, Peoples R China
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Meng, Wenhui,Cui, Junzhi. COMPARATIVE STUDY OF TWO DIFFERENT FMM-BEM METHODS IN SOLVING 2-D ACOUSTIC TRANSMISSION PROBLEMS WITH A MULTILAYERED OBSTACLE[J]. INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS,2011,11(1):197-214.
APA Meng, Wenhui,&Cui, Junzhi.(2011).COMPARATIVE STUDY OF TWO DIFFERENT FMM-BEM METHODS IN SOLVING 2-D ACOUSTIC TRANSMISSION PROBLEMS WITH A MULTILAYERED OBSTACLE.INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS,11(1),197-214.
MLA Meng, Wenhui,et al."COMPARATIVE STUDY OF TWO DIFFERENT FMM-BEM METHODS IN SOLVING 2-D ACOUSTIC TRANSMISSION PROBLEMS WITH A MULTILAYERED OBSTACLE".INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS 11.1(2011):197-214.
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