Development of a next generation boundary element method for multi-purpose wave-based sound field analyses

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A next generation boundary element method (BEM), which enables large-scale calculation of acoustical problems including structural-acoustical and acoustical-acoustical coupled ones with the use of the fast multipole method (FMM) and the Krylov subspace iterative method, has been developed. Specifically, a numerical setting to deal with absorbent materials in conjunction with the FMM has been proposed, and an efficient technique to analyze structural-acoustical problems based on modal analyses of structural fields has been developed. This next generation BEM also enables efficient calculation of so-called low-frequency problems (the boundary mesh size is much smaller than the wavelength), which the conventional FMM-accelerated BEM cannot calculate because of numerical instability.