ON THE BURTON AND MILLER BOUNDARY INTEGRAL FORMULATION OF THE EXTERIOR ACOUSTIC PROBLEM

被引：8
|
作者：
HARRIS, PJ
AMINI, S
机构：
[1] School of Mathematics and Statistics, University of Birmingham, Birmingham, B15 2TT, Edgbaston
[2] Department of Mathematics and Computer Science, University of Salford, Salford
来源：
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME | 1992年 / 114卷 / 04期
关键词：
D O I：
10.1115/1.2930296
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
The direct boundary integral equation due to Burton and Miller (1971) is used for the solution of the Helmholtz equation in the exterior domain. The formulation is complex, involving four integral (pseudo-differential) operators. Here we show that it is possible and advantageous to choose the coupling parameter, eta, inherent in the formulation, to depend on the boundary points. By setting the coupling parameter, eta (p), to zero, over a large part of the surface, we are able to reduce the set up time without greatly affecting the conditioning of the equation.
引用
收藏
页码：540 / 545
页数：6
相关论文
共 50 条
  • [1] A dual interpolation boundary face method for exterior acoustic problems based on the Burton-Miller formulation
    Zhang, Jianming
    Lin, Weicheng
    Shu, Xiaomin
    Zhong, Yudong
    [J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2020, 113 : 219 - 231
  • [2] Solving the hypersingular boundary integral equation for the Burton and Miller formulation
    Langrenne, Christophe
    Garcia, Alexandre
    Bonnet, Marc
    [J]. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2015, 138 (05): : 3332 - 3340
  • [3] Meshless acoustic analysis using a weakly singular Burton-Miller boundary integral formulation
    Linchong CHEN
    Xiaolin LI
    [J]. Applied Mathematics and Mechanics(English Edition), 2020, 41 (12) : 1897 - 1914
  • [4] Meshless acoustic analysis using a weakly singular Burton-Miller boundary integral formulation
    Chen, Linchong
    Li, Xiaolin
    [J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2020, 41 (12) : 1897 - 1914
  • [5] Meshless acoustic analysis using a weakly singular Burton-Miller boundary integral formulation
    Linchong Chen
    Xiaolin Li
    [J]. Applied Mathematics and Mechanics, 2020, 41 : 1897 - 1914
  • [6] ON THE BOUNDARY INTEGRAL METHODS FOR THE EXTERIOR ACOUSTIC PROBLEM
    REUT, Z
    [J]. JOURNAL OF SOUND AND VIBRATION, 1985, 103 (02) : 297 - 298
  • [7] A Parameter Study of the Burton-Miller Formulation in the BEM Analysis of Acoustic Resonances in Exterior Configurations
    Chen, Xin
    He, Qiang
    Zheng, Chang-Jun
    Wan, Cheng
    Bi, Chuan-Xing
    Wang, Bin
    [J]. JOURNAL OF THEORETICAL AND COMPUTATIONAL ACOUSTICS, 2021, 29 (02):
  • [8] A COMPARISON BETWEEN VARIOUS BOUNDARY INTEGRAL FORMULATIONS OF THE EXTERIOR ACOUSTIC PROBLEM
    AMINI, S
    HARRIS, PJ
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1990, 84 (01) : 59 - 75
  • [9] A MODIFIED BURTON-MILLER ALGORITHM FOR TREATING THE UNIQUENESS OF REPRESENTATION PROBLEM FOR EXTERIOR ACOUSTIC RADIATION AND SCATTERING PROBLEMS
    INGBER, MS
    HICKOX, CE
    [J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 1992, 9 (04) : 323 - 329
  • [10] INTEGRAL-EQUATIONS FOR EXTERIOR ACOUSTIC PROBLEM
    JONES, DS
    [J]. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1974, 27 (FEB): : 129 - 142
12345