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- W2009087719 abstract "We introduce a new fast, high-order method for scattering by inhomogeneous media in three dimensions. The O(N log N) complexity of our integral equation method is obtained through use of the fast Fourier transform in evaluating the required convolution. High-order convergence is obtained by replacing the scatterer with its truncated Fourier series and by decomposing the Green's function into a smooth part with infinite support and a singular part with compact support. Countering conventional wisdom, this Fourier smoothing of the scatterer yields high-order convergence, even in the case of discontinuous scatterers. We illustrate the performance of our parallel implementation of this method through two computational examples." @default.
- W2009087719 created "2016-06-24" @default.
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- W2009087719 date "2003-10-01" @default.
- W2009087719 modified "2023-09-27" @default.
- W2009087719 title "A fast, high-order method for scattering by inhomogeneous media in three dimensions" @default.
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- W2009087719 doi "https://doi.org/10.1016/s0921-4526(03)00465-4" @default.
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