Volume 5, Issue 4
The Method of Fundamental Solutions for Solving Exterior Axisymmetric Helmholtz Problems with High Wave-Number

Wen Chen ,  Ji Lin and C. S. Chen

10.4208/aamm.13-13S04

Adv. Appl. Math. Mech., 5 (2013), pp. 477-493.

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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.

  • History

Published online: 2013-08

  • AMS Subject Headings

65M10, 78A48

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