Stability analysis of a collocation method for solving the retarded potential integral equation

Harris, P.J., Wang, H., Chakrabarti, R. and Henwood, D.B. (2005) Stability analysis of a collocation method for solving the retarded potential integral equation Journal of Computational Acoustics, 13 (2). pp. 287-299. ISSN 0218-396X

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Abstract

This paper deals with the numerical solution of the retarded potential integral equation using a collocation type boundary element method. This method is widely used in practice but often suffers from stability problems. The purpose of the paper is to carry out a stability analysis of the numerical scheme and examine how any instability arises. This paper will then propose a method for overcoming this stability problem. A comparison with an exact solution demonstrates that the approach proposed here is effective for the case of a sphere.

Item Type: Journal article
Uncontrolled Keywords: Retarded potential integral equation, collocation method, eigenvalues, stability
Subjects: G000 Computing and Mathematical Sciences
DOI (a stable link to the resource): 10.1142/S0218396X05002645
Faculties: Faculty of Science and Engineering > School of Computing, Engineering and Mathematics > Computational Mathematics
Depositing User: Helen Webb
Date Deposited: 14 Nov 2007
Last Modified: 03 May 2012 11:27
URI: http://eprints.brighton.ac.uk/id/eprint/2828

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