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 0218-396XFull text not available from this repository.
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|
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