Article (Scientific journals)
Dual analysis with general boundary conditions
Debongnie, Jean-François; Zhong, H. G.; Beckers, Pierre
1995In Computer Methods in Applied Mechanics and Engineering, 122 (1-2), p. 183-192
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Keywords :
Finite elements; Error assessment; Dual analysis; general boundary conditions
Abstract :
[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.
Disciplines :
Mechanical engineering
Author, co-author :
Debongnie, Jean-François ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Méthodes de fabrication
Zhong, H. G.
Beckers, Pierre ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Département d'aérospatiale et mécanique
Language :
English
Title :
Dual analysis with general boundary conditions
Publication date :
April 1995
Journal title :
Computer Methods in Applied Mechanics and Engineering
ISSN :
0045-7825
eISSN :
1879-2138
Publisher :
Elsevier Science, Amsterdam, Netherlands
Volume :
122
Issue :
1-2
Pages :
183-192
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 15 June 2009

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