On The Use Of Multipole Methods For Domain
Integration In The BEM
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
Related Book
Other papers in this volume
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