ON THE EQUIVALENCE OF GENERALIZED DIFFERENTIAL QUADRATURE AND HIGHESTORDER FINITE-DIFFERENCE SCHEME

Authors
SHU C CHEW YT
Citation
C. Shu et Yt. Chew, ON THE EQUIVALENCE OF GENERALIZED DIFFERENTIAL QUADRATURE AND HIGHESTORDER FINITE-DIFFERENCE SCHEME, Computer methods in applied mechanics and engineering, 155(3-4), 1998, pp. 249-260
Citations number
24
Categorie Soggetti
Computer Science Interdisciplinary Applications",Mechanics,"Engineering, Mechanical","Computer Science Interdisciplinary Applications
Journal title
Computer methods in applied mechanics and engineering → ACNP
ISSN journal
00457825
Volume
155
Issue
3-4
Year of publication
1998
Pages
249 - 260
Database
ISI
SICI code
0045-7825(1998)155:3-4<249:OTEOGD>2.0.ZU;2-P
Abstract
It is shown in this paper that the global method of generalized differ ential quadrature (GDQ) is equivalent to the highest order finite diff erence scheme, which is the extension of low order finite difference s chemes. The effect of grid point distribution on the accuracy of numer ical results is studied by two numerical examples. The results showed that the ability to alter the grid point distribution in the GDQ metho d is an important feature to obtain accurate numerical solutions in ce rtain problems. (C) 1998 Elsevier Science S.A.