Concerning the cause of instability in time-stepping boundary element methods applied to the exterior acoustic problem

Wang, H., Henwood, D., Harris, P. and Chakrabarti, R. (2007) Concerning the cause of instability in time-stepping boundary element methods applied to the exterior acoustic problem Journal of Sound and Vibration, 305 (1-2). pp. 289-297. ISSN 0022-460X

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Abstract

The boundary element method (BEM) in its simple form when solving the exterior acoustic problem in the frequency domain has difficulties at the frequencies of internal resonances of the closed structure. The corresponding time domain form of the exterior problem often exhibits instabilities in the time-stepping process. The link between these two features is investigated by relating the eigenvalues of the iterating matrix of the time-stepping process to damped frequencies. Numerical evidence from a problem with an analytic solution, and from a loudspeaker response are given. The suggested link implies that instability comes from numerical errors super-imposed on a more fundamental problem and may be best tackled through a time domain technique corresponding to the methods already available in the frequency domain.

Item Type:Journal article
Subjects:G000 Computing and Mathematical Sciences
DOI (a stable link to the resource):10.1016/j.jsv.2007.03.083
Faculties:Faculty of Science and Engineering > School of Computing, Engineering and Mathematics > Computational Mathematics
ID Code:3054
Deposited By:Helen Webb
Deposited On:08 Nov 2007
Last Modified:03 May 2012 10:26

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