Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/104829
Title: Numerical solution of the Helmholtz equation with high wavenumbers
Authors: Bao, G.
Wei, G.W. 
Zhao, S. 
Keywords: Discrete singular convolution
Dispersion analysis
Helmholtz equation
High wavenumber
Pollution effect
Issue Date: 21-Jan-2004
Citation: Bao, G.,Wei, G.W.,Zhao, S. (2004-01-21). Numerical solution of the Helmholtz equation with high wavenumbers. International Journal for Numerical Methods in Engineering 59 (3) : 389-408. ScholarBank@NUS Repository.
Abstract: This paper investigates the pollution effect, and explores the feasibility of a local spectral method, the discrete singular convolution (DSC) algorithm for solving the Helmholtz equation with high wavenumbers. Fourier analysis is employed to study the dispersive error of the DSC algorithm. Our analysis of dispersive errors indicates that the DSC algorithm yields a dispersion vanishing scheme. The dispersion analysis is further confirmed by the numerical results. For one- and higher-dimensional Helmholtz equations, the DSC algorithm is shown to be an essentially pollution-free scheme. Furthermore, for large-scale computation, the grid density of the DSC algorithm can be close to the optimal two grid points per wavelength. The present study reveals that the DSC algorithm is accurate and efficient for solving the Helmholtz equation with high wavenumbers. © 2003 John Wiley and Sons, Ltd.
Source Title: International Journal for Numerical Methods in Engineering
URI: http://scholarbank.nus.edu.sg/handle/10635/104829
ISSN: 00295981
Appears in Collections:Staff Publications

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