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

Paul Harris, H. Wang, R. Chakrabarti, D. Henwood

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)287-299
Number of pages13
JournalJournal of Computational Acoustics
Volume13
Issue number2
DOIs
Publication statusPublished - Jun 2005

Keywords

  • Retarded potential integral equation, collocation method, eigenvalues, stability

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