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The Method of Fundamental Solutions for Solving Exterior Axisymmetric Helmholtz Problems with High Wave-Number

Published online by Cambridge University Press:  03 June 2015

Wen Chen ,
Ji Lin  and
C.S. Chen
Wen Chen*
Affiliation:
College of Engineering Mechanics, Hohai University, Nanjing 210098, Jiangsu, China
Ji Lin
Affiliation:
College of Engineering Mechanics, Hohai University, Nanjing 210098, Jiangsu, China
C.S. Chen
Affiliation:
Department of Mathematics, University of Southern Mississippi, Hattiesburg, MS 39406, USA
*
*Corresponding author. Email: chenwen@hhu.edu.cn
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Abstract

In this paper, we investigate the method of fundamental solutions (MFS) for solving exterior Helmholtz problems with high wave-number in axisymmetric domains. Since the coefficient matrix in the linear system resulting from the MFS approximation has a block circulant structure, it can be solved by the matrix decomposition algorithm and fast Fourier transform for the fast computation of large-scale problems and meanwhile saving computer memory space. Several numerical examples are provided to demonstrate its applicability and efficacy in two and three dimensional domains.

Keywords

65M1078A48Method of fundamental solutionsexterior Helmholtz problemcirculant matrixfast Fourier transformaxisymmetric domain
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 5 , Special Issue 4 , August 2013 , pp. 477 - 493
Copyright
Copyright © Global-Science Press 2013

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