On the Burton and Miller Boundary Integral Formulation of the Exterior Acoustic Problem

[+] Author and Article Information
P. J. Harris

School of Mathematics and Statistics, The University of Birmingham, Edgbaston, Birmingham B15 2TT, UK

S. Amini

Department of Mathematics and Computer Science, The University of Salford, Salford, M5 4WT, UK

J. Vib. Acoust 114(4), 540-545 (Oct 01, 1992) (6 pages) doi:10.1115/1.2930296 History: Received February 01, 1991; Online June 17, 2008


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, η, inherent in the formulation, to depend on the boundary points. By setting the coupling parameter, η(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.

Copyright © 1992 by The American Society of Mechanical Engineers
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