GREEN-FUNCTION DISCRETIZATION FOR NUMERICAL-SOLUTION OF THE HELMHOLTZ-EQUATION

Authors
CARUTHERS JE FRENCH JC RAVIPRAKASH GK
Citation
Je. Caruthers et al., GREEN-FUNCTION DISCRETIZATION FOR NUMERICAL-SOLUTION OF THE HELMHOLTZ-EQUATION, Journal of sound and vibration, 187(4), 1995, pp. 553-568
Citations number
14
Categorie Soggetti
Acoustics
Journal title
Journal of sound and vibration → ACNP
ISSN journal
0022460X
Volume
187
Issue
4
Year of publication
1995
Pages
553 - 568
Database
ISI
SICI code
0022-460X(1995)187:4<553:GDFNOT>2.0.ZU;2-T
Abstract
A discretization method based on free space Green function interpolati on with a minimum L(2) norm property has been developed for numerical solution of the Helmholtz equation. It has been shown to produce accur ate solutions with less than three points per wave, which implies a ma nyfold improvement in solution efficiency over previous methods. The a ccuracy of the method does not break down formally until the grid reso lution approaches two points per wave. (C) 1995 Academic Press Limited .