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- W917195063 abstract "This paper presents a fast multipole accelerated singular boundary method (SBM) to the solution of the large-scale three-dimensional Helmholtz equation at low frequency. By using a desingularization strategy to directly compute singular kernels in the strong-form collocation discretization, the SBM formulations are derived for the Dirichlet and Neumann problems. A fast multipole method (FMM) is then introduced to expedite the solution process. The CPU time and the memory requirement of the FMM–SBM scheme are both reduced to O(N), where N is the number of boundary nodes. Numerical examples with up to one million unknowns have been tested on a desktop computer. The results clearly illustrate that the proposed strategy appears very efficient and promising in solving large-scale Helmholtz problems." @default.
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- W917195063 date "2015-08-01" @default.
- W917195063 modified "2023-10-18" @default.
- W917195063 title "Fast multipole accelerated singular boundary method for the 3D Helmholtz equation in low frequency regime" @default.
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- W917195063 doi "https://doi.org/10.1016/j.camwa.2015.05.017" @default.
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