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Indexed by:期刊论文

Date of Publication:2013-07-01

Journal:ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Included Journals:SCIE、EI、Scopus

Volume:37

Issue:7-8

Page Number:1043-1051

ISSN No.:0955-7997

Key Words:Boundary element method; Radial integration method; Radial basis functions; Acoustic eigenvalue problem

Abstract:In this paper, the radial integration boundary element method is developed to solve acoustic eigenvalue problems for the sake of eliminating the frequency dependency of the coefficient matrices in traditional boundary element method. The radial integration method is presented to transform domain integrals to boundary integrals. In this case, the unknown acoustic variable contained in domain integrals is approximated with the use of compactly supported radial basis functions and the combination of radial basis functions and global functions. As a domain integrals transformation method, the radial integration method is based on pure mathematical treatments and eliminates the dependence on particular solutions of the dual reciprocity method and the particular integral method. Eventually, the acoustic eigenvalue analysis procedure based on the radial integration method resorts to a generalized eigenvalue problem rather than an enhanced determinant search method or a standard eigenvalue analysis with matrices of large size, just like the multiple reciprocity method. Several numerical examples are presented to demonstrate the validity and accuracy of the proposed approach. (C) 2013 Elsevier Ltd. All rights reserved.