ON THE BURTON AND MILLER BOUNDARY INTEGRAL FORMULATION OF THE EXTERIOR ACOUSTIC PROBLEM

被引：8
|
作者：
HARRIS, PJ
AMINI, S
机构：
[1] School of Mathematics and Statistics, University of Birmingham, Birmingham, B15 2TT, Edgbaston
[2] Department of Mathematics and Computer Science, University of Salford, Salford
来源：
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME | 1992年 / 114卷 / 04期
关键词：
D O I：
10.1115/1.2930296
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
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, eta, inherent in the formulation, to depend on the boundary points. By setting the coupling parameter, eta (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.
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页码：540 / 545
页数：6
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