The Method of Fundamental Solutions For Solving Exterior Axisymmetric Helmholtz Problems With High Wave-Number
Document Type
Article
Publication Date
6-27-2013
Department
Mathematics
School
Mathematics and Natural Sciences
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 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.
Publication Title
Advances in Applied Mathematics and Mechanics
Volume
5
Issue
4
First Page
477
Last Page
493
Recommended Citation
Chen, W.,
Lin, J.,
Chen, C.
(2013). The Method of Fundamental Solutions For Solving Exterior Axisymmetric Helmholtz Problems With High Wave-Number. Advances in Applied Mathematics and Mechanics, 5(4), 477-493.
Available at: https://aquila.usm.edu/fac_pubs/20313