Journal of applied mechanics
Online ISSN : 1884-832X
Print ISSN : 1345-9139
ISSN-L : 1345-9139
Analysis of Three Dimensional Scattering of Elastic Waves by a Crack with Fast Multipole Boundary Integral Equation Method
Ken-ichi YOSHIDANaoshi NISHIMURAShoichi KOBAYASHI
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2000 Volume 3 Pages 143-150

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Abstract
This paper discusses an application of FMM (Fast Multipole Method) using Wigner-3jsymbols to the BIE (Boundary Integral Equation) analysis of the three dimensional scattering of elastic waves by a crack. The boundary integral equation is discretised with piecewise constant shape functions. The resulting algebraic equation is solved with preconditioned GMRES (Generalised Minimun RESidual method). It is shown that FMM is more efficient than the conventional BIEM (Boundary Integral Equation Method) when the number of unknowns is larger than several thousands.
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© by Japan Society of Civil Engineers
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