METHODS FOR SPEEDING UP THE BOUNDARY ELEMENT SOLUTION OF ACOUSTIC RADIATION PROBLEMS

被引:23
|
作者
KIRKUP, SM
HENWOOD, DJ
机构
[1] Department of Mathematics and Computer Science, University of Salford, Salford
[2] Department of Mathematical Sciences, Brighton Polytechnic, Brighton, Moulsecoomb
关键词
D O I
10.1115/1.2930272
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
Methods for speeding up the boundary element solution of acoustic radiation problems are considered. The methods are based on solving the integral equation formulation of Burton and Miller for the exterior Helmholtz equation over a range of frequencies simultaneously. Methods for speeding up the computation of the discrete forms of the integral operators and the solution of the linear systems that arise in the boundary element method are considered. A particular implementation of speed-up methods is described. Results from the application of this to test problems are given.
引用
收藏
页码:374 / 380
页数:7
相关论文
共 50 条
  • [21] TIME DOMAIN BOUNDARY ELEMENT METHODS FOR THE NEUMANN PROBLEM: ERROR ESTIMATES AND ACOUSTIC PROBLEMS
    Gimperlein, Heiko
    Ozdemir, Ceyhun
    Stephan, Ernst P.
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 36 (01) : 70 - 89
  • [22] Recent Advances in Acoustic Boundary Element Methods
    Preuss, Simone
    Gurbuz, Caglar
    Jelich, Christopher
    Baydoun, Suhaib Koji
    Marburg, Steffen
    JOURNAL OF THEORETICAL AND COMPUTATIONAL ACOUSTICS, 2022, 30 (03):
  • [23] Boundary element methods for Dirichlet boundary control problems
    Of, Guenther
    Thanh Xuan Phan
    Steinbach, Olaf
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2010, 33 (18) : 2187 - 2205
  • [24] BOUNDARY ELEMENT METHODS FOR PARABOLIC BOUNDARY CONTROL PROBLEMS
    Thanh Xuan Phan
    Steinbach, Olaf
    JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2014, 26 (01) : 53 - 90
  • [25] Adaptive finite element-boundary element solution of boundary value problems
    Steinbach, O
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1999, 106 (02) : 307 - 316
  • [26] Application of the fast multipole method to the variational boundary element method for large acoustic radiation problems
    Paquay, S.
    Geradin, M.
    Proceedings of ISMA2006: International Conference on Noise and Vibration Engineering, Vols 1-8, 2006, : 2289 - 2301
  • [27] AN INTEGRAL-EQUATION FORMULATION FOR BOUNDARY ELEMENT ANALYSIS OF ACOUSTIC RADIATION PROBLEMS IN VISCOUS FLUIDS
    DOKUMACI, E
    JOURNAL OF SOUND AND VIBRATION, 1991, 147 (02) : 335 - 348
  • [28] Boundary element solution of the inhomogeneous magnetostatic problems
    Univ of Mining and Metallurgy, Krakow, Poland
    Appl Numer Math, 2-4 (343-358):
  • [29] A boundary element solution of the inhomogeneous magnetostatic problems
    Kurgan, E
    APPLIED NUMERICAL MATHEMATICS, 1998, 28 (2-4) : 343 - 358
  • [30] A Pollution Effect in the Boundary Element Method for Acoustic Problems
    Marburg, Steffen
    JOURNAL OF THEORETICAL AND COMPUTATIONAL ACOUSTICS, 2018, 26 (02):