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

被引：7

作者：

Li, Song-Hua ^{[1
]}

Sun, Ming-Bao ^{[1
]}

机构：

[1] Hunan Inst Sci & Technol, Dept Math, Yueyang Hunan 414006, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 230卷 / 02期

关键词：

Natural boundary integral method; Trigonometric wavelets; Matrix decomposition; FFT; Helmholtz equation;

D O I：

10.1016/j.cam.2008.12.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. Crown Copyright (C) 2008 Published by Elsevier B.V. All rights reserved.

引用

页码：341 / 350

页数：10

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