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Application of fast multipole Galerkin boundary integral equation method to elastostatic crack problems in 3D
Author(s) -
Yoshida Kenichi,
Nishimura Naoshi,
Kobayashi Shoichi
Publication year - 2001
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/1097-0207(20010130)50:3<525::aid-nme34>3.0.co;2-4
Subject(s) - fast multipole method , galerkin method , generalized minimal residual method , discretization , integral equation , boundary element method , mathematics , algebraic equation , multipole expansion , boundary (topology) , electric field integral equation , boundary value problem , mathematical analysis , mathematical optimization , finite element method , iterative method , structural engineering , physics , engineering , quantum mechanics , nonlinear system
Fast multipole method (FMM) has been developed as a technique to reduce the computational cost and memory requirements in solving large‐scale problems. This paper discusses an application of FMM to three‐dimensional boundary integral equation method for elastostatic crack problems. The boundary integral equation for many crack problems is discretized with FMM and Galerkin's method. The resulting algebraic equation is solved with generalized minimum residual method (GMRES). The numerical results show that FMM is more efficient than conventional methods when the number of unknowns is more than about 1200 and, therefore, can be useful in large‐scale analyses of fracture mechanics. Copyright © 2001 John Wiley & Sons, Ltd.