Author(s)

A.A. Mammoli, M.S. Ingber & MJ. Brown

Abstract

Often, a single application of the reciprocity theorem results in an integral equa- tion that contains a domain integral, which must be evaluated in order to obtain the boundary solution. Because of aesthetic reasons, dual or multiple reciprocity has been used to remove the domain integral, thus restoring the 'boundary only' formulation. However, this improvement in elegance is accompanied by certain limitations in terms of the size and type of problem that can be treated, and in the accuracy of the solution. Here, traditional domain mesh based integration, in combination with a Barnes- Hut [1] multipole scheme that has the purpose of reducing the operation count, is used in order to evaluate the domain integral. It is shown that this method is both considerably faster and more accurate than meshless metho

Keywords