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• W2066156901 abstract "The fast multipole method (FMM) is applied to the solution of large-scale, three-dimensional acoustic scattering problems involving inhomogeneous objects defined on a regular grid. The grid arrangement is especially well suited to applications in which the scattering geometry is not known a priori and is reconstructed on a regular grid using iterative inverse scattering algorithms or other imaging techniques. The regular structure of unknown scattering elements facilitates a dramatic reduction in the amount of storage and computation required for the FMM, both of which scale linearly with the number of scattering elements. In particular, the use of fast Fourier transforms to compute Green’s function convolutions required for neighboring interactions lowers the often-significant cost of finest-level FMM computations and helps mitigate the dependence of FMM cost on finest-level box size. Numerical results demonstrate the efficiency of the composite method as the number of scattering elements in each finest-level box is increased." @default.
• W2066156901 created "2016-06-24" @default.
• W2066156901 creator A5022871858 @default.
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• W2066156901 date "2010-10-01" @default.
• W2066156901 modified "2023-09-26" @default.
• W2066156901 title "The fast multipole method and Fourier convolution for the solution of acoustic scattering on regular volumetric grids" @default.
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• W2066156901 doi "https://doi.org/10.1016/j.jcp.2010.07.025" @default.
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