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.
- Retarded potential integral equation, collocation method, eigenvalues, stability
Harris, P., Wang, H., Chakrabarti, R., & Henwood, D. (2005). Stability analysis of a collocation method for solving the retarded potential integral equation. Journal of Computational Acoustics, 13(2), 287-299. https://doi.org/10.1142/S0218396X05002645