Iterative Solution of Boundary Element Equations for the Exterior Helmholtz Problem

[+] Author and Article Information
S. Amini, Chen Ke, P. J. Harris

Department of Mathematics and Statistics, Polytechnic South West, Plymouth, U.K.

J. Vib. Acoust 112(2), 257-262 (Apr 01, 1990) (6 pages) doi:10.1115/1.2930120 History: Received March 01, 1989; Online June 17, 2008


In this paper we study an efficient boundary element method for the determination of the acoustic field around arbitrary-shaped finite structures immersed in an infinite homogeneous acoustic medium. The direct boundary integral equation due to Burton and Miller is employed to overcome the nonuniqueness of solution associated with the classical boundary integral formulations of the exterior Helmholtz equation. The choice of the coupling parameter in the Burton and Miller formulation is discussed in order to minimize the condition number of the boundary integral equation. Numerical results are presented for the problem of acoustic radiation from several structures of practical interest.

Copyright © 1990 by The American Society of Mechanical Engineers
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