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

The Method of Fundamental Solutions for Solving Exterior Axisymmetric Helmholtz Problems with High Wave-Number
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Year:    2013

Author:    Wen Chen, Ji Lin, C. S. Chen

Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 4 : pp. 477–493

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.13-13S04

Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 4 : pp. 477–493

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:    Method of fundamental solutions exterior Helmholtz problem circulant matrix fast Fourier transform axisymmetric domain.

Author Details

Wen Chen

Ji Lin

C. S. Chen

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