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多重極積分方程式法を用いたクラックによる
3次元弾性波動散乱問題の解析

吉田研一[*], 西村直志[*],小林昭一[*]

Abstract:

This paper discusses an application of FMM (Fast Multipole Method) using Wigner-3j symbols 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.

keywords: FMM, Wigner-3j symbol, BIE, GMRES, BIEM



 

Ken-ichi Yoshida
2000-08-31