Abstract

FMM (Fast Mutlipole Method) has been developed as a technique to reduce the computational time and memory requirements in solving big sized multibody problems. This paper proposes a BIE formulation of FMM using Wigner-3 j symbols and collocation for the scattering of scalar waves by cracks in 3 D. The resulting algebraic equation is solved with GMRES (Generalized Minimum RESidual method). It is shown that FMM is more efficient than the conventional method when the number of nuknowns is greater than several thousands.

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