Reference : Pure equilibrium tetrahedral finite elements for global error estimation by dual analysis
Scientific journals : Article
Engineering, computing & technology : Mechanical engineering
http://hdl.handle.net/2268/30736
Pure equilibrium tetrahedral finite elements for global error estimation by dual analysis
English
[fr] Eléments tétraédraux statiquement admissibles en vue d'une estimation d'erreurs par analyse duale
Kempeneers, Martin mailto [SAMTECH-FRANCE, Toulouse > > > >]
Debongnie, Jean-François mailto [Université de Liège - ULg > Département d'aérospatiale et mécanique > Méthodes de fabrication >]
Beckers, Pierre mailto [Université de Liège - ULg > Département d'aérospatiale et mécanique > Département d'aérospatiale et mécanique >]
2010
International Journal for Numerical Methods in Engineering
John Wiley & Sons, Inc
published online in Wiley Interscience (www.interscience.wiley.com)
Yes (verified by ORBi)
International
0029-5981
Chichester
United Kingdom
[en] pure equilibrium model ; tetrahedral finite element ; error estimation ; 3D dual analysis
[en] This study presents a general porocedure of creating pure equilibrium tetrahedral finite elements. These elements are of the Fraeijs de Veubeke type. The spurious kinematical modes which inevitably appear in this approach are eliminated by converting each tetrahedron in a super-element consisting of four tetrahedral primitive elements. A mathematical discussion on the number of spurious kinematical modes is presented. The development of first and second degree elements is presented in detail, and their efficiency in the frame of global errror estimation by dual analysis is emphasized by two numerical applications. The main attribute of the error estimation by dual analysis is that it provides an upper bound of the discretization error.
ULg/LTAS
3-D equilibrium elements
Researchers ; Professionals
http://hdl.handle.net/2268/30736
10.1002/nme.2703
Copyright 2009 John Wiley & Sons, Ltd

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Restricted access
PureEquilTetraFE.pdfPublisher postprint307.04 kBRequest copy

Bookmark and Share SFX Query

All documents in ORBi are protected by a user license.