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 0001-4966Full text not available from this repository.
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|
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