A Burton–Miller inverse boundary element method for near-field acoustic holography

Chappell, D. and Harris, P.J. (2009) A Burton–Miller inverse boundary element method for near-field acoustic holography The Journal of the Acoustical Society of America, 126 (1). pp. 149-157. ISSN 0001-4966

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Abstract

An inverse boundary element method based on the Burton–Miller integral equation is proposed for reconstructing the Neumann boundary data from pressure values on a conformal surface in the near-field of an arbitrary radiating object. The accuracy of the reconstruction is compared with that of a method based on the more commonly used Helmholtz integral equation. In particular, the behavior at characteristic frequencies, which are known to be problematic in the Helmholtz integral equation for the forward problem, is examined. The effect of regularization is considered, including the L-curve parameter selection method. Numerical computations are given for noisy data generated from an internal point source.

Item Type: Journal article
Uncontrolled Keywords: acoustic holography, boundary integral equations, boundary-elements methods, Helmholtz equations, inverse problems
Subjects: G000 Computing and Mathematical Sciences
DOI (a stable link to the resource): 10.1121/1.3133923
Faculties: Faculty of Science and Engineering > School of Computing, Engineering and Mathematics > Computational Mathematics
Depositing User: editor cmis
Date Deposited: 14 Jan 2011 10:35
Last Modified: 03 May 2012 08:37
URI: http://eprints.brighton.ac.uk/id/eprint/8075

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