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 - <p style="text-align: justify;">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.</p>