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A fast numerical method for a natural boundary integral equation for the Helmholtz equation

✍ Scribed by Song-Hua Li; Ming-Bao Sun

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 630 KB
Volume: 230
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2008.12.002

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✦ Synopsis

A Neumann boundary value problem of the Helmholtz equation in the exterior circular domain is reduced into an equivalent natural boundary integral equation. Using our trigonometric wavelets and the Galerkin method, the obtained stiffness matrix is symmetrical and circulant, which lead us to a fast numerical method based on fast Fourier transform. Furthermore, we do not need to compute the entries of the stiffness matrix. Especially, our method is also efficient when the wave number k in the Helmholtz equation is very large.

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