INTERPOLATION METHODS FOR THE CONSTRUCTION OF THE SHAPE FUNCTION-SPACE OF NONCONFORMING FINITE-ELEMENTS

Authors
GAO JB SHIH TM
Citation
Jb. Gao et Tm. Shih, INTERPOLATION METHODS FOR THE CONSTRUCTION OF THE SHAPE FUNCTION-SPACE OF NONCONFORMING FINITE-ELEMENTS, Computer methods in applied mechanics and engineering, 122(1-2), 1995, pp. 93-103
Citations number
15
Categorie Soggetti
Computer Application, Chemistry & Engineering",Mechanics,"Engineering, Mechanical","Computer Science Interdisciplinary Applications
Journal title
Computer methods in applied mechanics and engineering → ACNP
ISSN journal
00457825
Volume
122
Issue
1-2
Year of publication
1995
Pages
93 - 103
Database
ISI
SICI code
0045-7825(1995)122:1-2<93:IMFTCO>2.0.ZU;2-1
Abstract
Based on the multivariate polynomial interpolation theory, a method is derived to construct shape function spaces which can pass relevant co nvergent tests. As applications of this method, the shape function spa ces of de Veubeke's, Zienkiewicz's and Specht's elements are obtained. It is also shown that this method can be used to construct new finite elements.