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《Chinese Journal of Engineering Mathematics》 2004-05
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Calculation of Singular Integral for Helmholtz Boundary Integral Equation in Acoustics

ZHAO Zhi-gao, HUANG Qi-bai (College of Mechanical Science and Engineering of Huazhong University of Science and Technology,Wuhan 430074)  
This paper presents a non- isoparametric transformatio n which can transformation surface to cube, the singularity (O(1/r)) will eliminated by coordinate transformation twice. Simultaneously, the Cauchy singularity (O(1/r22)) also can be eliminated via coord inate transformation and calculation of?r/?n, and the proving process is given in this paper in details. The method presented by this paper provides us a very simple way to computer the singular integral of Helmholtz boundary integral equation and to program in computer.
【Fund】: 国家自然科学基金资助项目(50075029).
【CateGory Index】: O241
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【References】
Chinese Journal Full-text Database 3 Hits
1 Xu Zhongchang Wu Dongdong(College of Science,Naval Univ.of Engineering,Wuhan 430033);Mathematical Processing of a Singualr-integral in Acoustic Computation[J];Ship Electronic Engineering;2009-07
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【Co-references】
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1 LIANG Chang-hong LI Long SHI Xiao-wei (School of Electronics Engineering, Xidian University, Xi′an Shaanxi 710071, China);Compact closed forms for integral singularity of self-reaction elements of Green′s functions[J];Chinese Journal of Radio Science;2003-02
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【Secondary References】
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1 DENG Chang-yong,MI Lin,ZHANG Bing(Chongqing Institute of Automobile,Chongqing Institute of Technology,Chongqing 400050,China);Examination of Motorcycle Noise Recognition Methods[J];Journal of Chongqing Institute of Technology(Natural Science);2009-03
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3 YANG Shi-feng,GUO Jian-ying,WANG Xiu-qing,ZHAO Ji-min (College of Electronic Information and Automation,Tianjin University of Technology & Science,Tianjin 300222,China);Study Progress of Crop Disease Stress Detecting[J];Journal of Tianjin University of Science & Technology;2009-05
4 YANG Diange ZHENG Sifa LI Bing LI Keqiang LIAN Xiaomin (State Key Laboratory of Automotive Safety and Energy,Tsinghua University Beijing 100084);Video visualization for moving sound sources based on binoculars stereo and acoustical holography[J];Acta Acustica;2010-01
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