A fast multipole boundary integral equation method for crack problems in 3D

This paper discusses a three-dimensional fast multipole boundary integral equation method for crack problems for Laplace's equation. The proposed implementation uses collocation and piecewise constant shape functions to discretise the hypersingular boundary integral equation for crack problems....

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Bibliographic Details
Published in:Engineering analysis with boundary elements 1999, Vol.23 (1), p.97-105
Main Authors: Nishimura, Naoshi, Yoshida, Ken-ichi, Kobayashi, Shoichi
Format: Article
Language:English
Subjects:
Crack
Fast method
Fast multipole boundary integral equation method
FMM
GMRES
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Summary:This paper discusses a three-dimensional fast multipole boundary integral equation method for crack problems for Laplace's equation. The proposed implementation uses collocation and piecewise constant shape functions to discretise the hypersingular boundary integral equation for crack problems. The resulting numerical equation is solved with GMRES (generalised minimum residual method) in connection with FMM (fast multipole method). It is found that the obtained code is faster than a conventional one when the number of unknowns is greater than about 1300.
ISSN:0955-7997
1873-197X
DOI:10.1016/S0955-7997(98)00065-4