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A Fast Multipole Boundary Element Method Based on Legendre Series for Three-Dimensional Potential Problems

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Abstract:

Vectorization expressions of a Fast Multipole Boundary Element Method (FM-BEM) based on Legendre series are presented for three-dimensional (3-D) potential problems. The formulas are applied to the expression of fundamental solutions for the Boundary Element Method(BEM). Truncation errors of the multipole expansion and local expansion are deduced and analyzed. It shows that the errors can be controlled by truncation terms.

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Periodical:

Advanced Materials Research (Volumes 468-471)

Pages:

426-429

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.468-471.426

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Online since:

February 2012

Authors:

Chun Xiao Yu, Hai Yuan Yu, Yi Ming Chen

Keywords:

Fast Multipole Boundary Element Method, Legendre Series, Potential Problems

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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