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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24337

Title: Recent development of dual BEM in acoustic problems
Authors: J.T. Chen
Contributors: NTOU:Department of Harbor and River Engineering
Keywords: Dual integral formulation;Dual boundary element method;Acoustic problem;Degenerate boundary;Multiple reciprocity method
Date: 2000-08
Issue Date: 2011-10-20T08:11:30Z
Publisher: Computer Methods in Applied Mechanics and Engineering
Abstract: Abstract:In this paper, recent development of the dual BEM in acoustic problem is presented. The role of hypersingular integral equation in the dual BEM for the problems with a degenerate boundary is examined. First, the dual integral formulation is proposed. Based on the formulation, we develop four methods - the complex-valued dual BEM, the real-part dual BEM, the real-valued dual MRM, and the complete complex-valued MRM. For the real-part dual BEM and the real-valued dual MRM, the spurious eigenvalues occur and can be filtered out by using residual technique or singular value decomposition method. It is also found that the complete MRM with infinite terms of series is equivalent to the complex-valued dual BEM if the constant potential in the zeroth-order fundamental solution is chosen to be an appropriate complex value. The dual formulation can be applied to solve acoustic problems with degenerate boundaries. An illustrative example for acoustic eigenfrequencies of a cavity with an incomplete partition is shown to verify the validity of the four methods. The results are compared with those of FEM and experiment. Good agreement is made. (C) 2000 Elsevier Science S.A. All rights reserved.
Relation: 188(4), pp.833-845
URI: http://ntour.ntou.edu.tw/handle/987654321/24337
Appears in Collections:[河海工程學系] 期刊論文

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