@Article{AAMM-5-4, author = {Wen, Chen and Lin, Ji and S., Chen, C.}, title = {The Method of Fundamental Solutions for Solving Exterior Axisymmetric Helmholtz Problems with High Wave-Number}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2013}, volume = {5}, number = {4}, pages = {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.
}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.13-13S04}, url = {https://global-sci.com/article/73503/the-method-of-fundamental-solutions-for-solving-exterior-axisymmetric-helmholtz-problems-with-high-wave-number} }