TY - JOUR T1 - The Method of Fundamental Solutions for Solving Exterior Axisymmetric Helmholtz Problems with High Wave-Number AU - Chen , Wen AU - Lin , Ji AU - Chen , C. S. JO - Advances in Applied Mathematics and Mechanics VL - 4 SP - 477 EP - 493 PY - 2013 DA - 2013/08 SN - 5 DO - http://doi.org/10.4208/aamm.13-13S04 UR - https://global-sci.org/intro/article_detail/aamm/81.html KW - Method of fundamental solutions, exterior Helmholtz problem, circulant matrix, fast Fourier transform, axisymmetric domain. AB -

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.