Reference : Dual analysis with general boundary conditions
Scientific journals : Article
Engineering, computing & technology : Mechanical engineering
http://hdl.handle.net/2268/14555
Dual analysis with general boundary conditions
English
Debongnie, Jean-François mailto [Université de Liège - ULg > Département d'aérospatiale et mécanique > Méthodes de fabrication >]
Zhong, H. G. [ > > ]
Beckers, Pierre mailto [Université de Liège - ULg > Département d'aérospatiale et mécanique > Département d'aérospatiale et mécanique >]
Apr-1995
Computer Methods in Applied Mechanics & Engineering
Elsevier Science
122
1-2
183-192
Yes (verified by ORBi)
International
0045-7825
Amsterdam
Nederland
[en] Finite elements ; Error assessment ; Dual analysis ; general boundary conditions
[en] The dual analysis concept was introduced by Fraeijs de Veubeke [1] as a consequence of upper and lower bounds of the energy. As such bounds exist only in those cases where one type of condition is homogeneous, it is commonly admitted that a dual error measure does not exist with general boundary conditions. This paper presents a re-examination of the dual error measure by a way which avoids any use of upper and lower bounds of the energy. It is found that such an error measure holds whatever the boundary conditions be. Furthermore, it is not necessary to obtain the approximate solutions by a Rayleigh-Ritz process, so that the second analysis, which seemed necessary in the original dual analysis concept, may be replaced by any admissible approximation. This implies the possibility of a dual error measure at a simple post-processor level.
Researchers ; Professionals
http://hdl.handle.net/2268/14555
10.1016/0045-7825(94)00726-4

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Restricted access
dual_analysis1995.pdfPublisher postprint640.71 kBRequest copy

Bookmark and Share SFX Query

All documents in ORBi are protected by a user license.