Year: 2019
Author: Qinghua Wu
Advances in Applied Mathematics and Mechanics, Vol. 11 (2019), Iss. 5 : pp. 1248–1262
Abstract
We compare the diagonal form fast multipole method (FMM) with the traditional boundary element method (BEM) for a boundary integral equation (BIE) with oscillatory Hankel kernels which arising in using hybrid numerical-asymptotic boundary integral method to the two-dimensional (2D) scattering of a time-harmonic acoustic incident plane wave. The diagonal form FMM is a very efficient and popular algorithm for the rapid solution of boundary value problems. However, we show that the efficiency of the diagonal form FMM is greatly reduced for this kind of BIE. Numerical examples are given to confirm the proposed results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2018-0173
Advances in Applied Mathematics and Mechanics, Vol. 11 (2019), Iss. 5 : pp. 1248–1262
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Oscillatory Hankel kernels highly oscillatory integrals Clenshaw-Curtis Filon methods oscillatory integral equations.