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The influence of the weighting parameter on the improved boundary element solution of the exterior Helmholtz equation

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Kirkup, Stephen Martin ORCID: 0000-0002-9680-7778 (1992) The influence of the weighting parameter on the improved boundary element solution of the exterior Helmholtz equation. Wave Motion, 15 (1). pp. 93-101. ISSN 01652125

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Official URL: http://dx.doi.org/10.1016/0165-2125(92)90007-O

Abstract

In this paper methods based on the boundary integral equations of Brakhage and Werner, Leis, Panich, Kussmaul and Burton and Miller for the solution of the exterior Helmholtz equation are considered. Each of these equations contain a weighting parameter. The relationship between the choice of weighting parameter, the condition of the linear system of equations derived through collocation, and the error in the solution is studied. The problem of choosing the free parameter to minimise the resulting error is discussed.

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