Strategies for the Accurate Computation of Potential Derivatives in Boundary Element Method: Application to Two-Dimensional Problems

✍ Scribed by Hajime Igarashi; Toshihisa Honma

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 321 KB
• Volume: 119
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.1995.1133

✦ Synopsis

This paper describes two strategies for the accurate computations of polential derivalives in boundary element methods. The first method regularizes the quasi singularity in a fundamental solution by referring the potential and its derivatives at the boundary point nearest to a calculation point in a domain. In the second method, a system of coupled equations for an unknown potential and its derivatives at a calculation point is solved to improve accuracy. Green's theorem unifies the derivation of the above methods, which are shown to be suitable for computer implementation. Numerical results show that the present methods considerably improve the accuracy in the computations of potential derivatives. The errors in the present methods are analyzed to evaluate their performance for general cases. Although this paper describes the regularization methods for only two-dimensional problems, it is suggested that those can be easily extended to three-dimensional problems. (2) 1995 Academic Press. Inc.