Solution of Helmholtz equation by differential quadrature method

Authors
Shu, C Xue, H
Citation
C. Shu et H. Xue, Solution of Helmholtz equation by differential quadrature method, COMPUT METH, 175(1-2), 1999, pp. 203-212
Citations number
21
Categorie Soggetti
Mechanical Engineering
Journal title
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
ISSN journal
00457825 → ACNP
Volume
175
Issue
1-2
Year of publication
1999
Pages
203 - 212
Database
ISI
SICI code
0045-7825(19990608)175:1-2<203:SOHEBD>2.0.ZU;2-W
Abstract
The polynomial-based differential quadrature (PDQ) and the Fourier expansio n-based differential quadrature (FDQ) methods are applied in this work to s olve the two-dimensional Helmholtz equation. It is demonstrated through som e sample examples that accurate numerical solution can be obtained by using only 2 to 3 mesh points per wavelength. It was found that the FDQ approach is more suitable for solving the Helmholtz equation. (C) 1999 Elsevier Sci ence S.A. All rights reserved.