@Article{AAMM-5-477, author = {Chen , WenLin , Ji and Chen , C. S.}, 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 = {http://global-sci.org/intro/article_detail/aamm/81.html} }