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.
Original language | English |
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Pages (from-to) | 287-299 |
Number of pages | 13 |
Journal | Journal of Computational Acoustics |
Volume | 13 |
Issue number | 2 |
DOIs | |
Publication status | Published - Jun 2005 |
Keywords
- Retarded potential integral equation, collocation method, eigenvalues, stability