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• W2902999121 abstract "It is well known that Green’s function can be expressed by multipole expansion, plane-wave expansion, and exponential expansion (spectral representation). These three expansions constitute of the foundations of the fast multipole algorithm (FMA). The plane-wave expansion has the low-frequency breakdown issue due to its failure in capturing the evanescent spectra, while the multipole expansion is inefficient at high frequencies. The spectral representation usually involves in direction-dependent issue. In this communication, the 2-D FMA is interpreted as Parseval’s theorem in Fourier transform. To achieve a stable and accurate transition between the multipole expansion and the plane-wave expansion, a novel diagonalization in the 2-D FMA is proposed with scaled special functions based on a discrete Fourier transform. A wideband fast algorithm with high accuracies can be achieved efficiently." @default.
• W2902999121 created "2018-12-11" @default.
• W2902999121 creator A5010694674 @default.
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• W2902999121 date "2018-12-01" @default.
• W2902999121 modified "2023-10-01" @default.
• W2902999121 title "A Wideband 2-D Fast Multipole Algorithm With a Novel Diagonalization Form" @default.
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• W2902999121 doi "https://doi.org/10.1109/tap.2018.2872167" @default.
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