The Method of Fundamental Solutions For Solving Exterior Axisymmetric Helmholtz Problems With High Wave-Number

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 coefficientmatrix in the linear system resulting fromthe 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. © 2013 Global Science Press