A HIERARCHICAL FINITE-ELEMENT METHOD BASED ON THE PARTITION OF UNITY

Authors
TAYLOR RL ZIENKIEWICZ OC ONATE E
Citation
Rl. Taylor et al., A HIERARCHICAL FINITE-ELEMENT METHOD BASED ON THE PARTITION OF UNITY, Computer methods in applied mechanics and engineering, 152(1-2), 1998, pp. 73-84
Citations number
9
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
152
Issue
1-2
Year of publication
1998
Pages
73 - 84
Database
ISI
SICI code
0045-7825(1998)152:1-2<73:AHFMBO>2.0.ZU;2-3
Abstract
In this paper we consider the application of hierarchical functions to base approximations which are a partition of unity. The particular hi erarchical functions used are added to base finite element interpolati ons which, for C-0 approximations, are a particular case of the partit ion of unity. We also show how the functions may be constructed to pre serve the interpolation property of the base finite element functions. An application to linear elasticity is used to illustrate the propert ies and stability of the approximation.