[en] The errors of finite element approximations are analysed in a general frame, which is completely independent from the way through which the approximate solution was obtained. It is found that the error always admits decomposition in two terms, namely the equilibrium error and the compatibility error, which are orthogonal. Each of these admits upper and lower bound that can be computed in a post-processing scheme
Disciplines :
Mechanical engineering
Author, co-author :
Debongnie, Jean-François ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Méthodes de fabrication
Beckers, Pierre ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Département d'aérospatiale et mécanique
Language :
English
Title :
On a general decomposition of the error of an approximate stress field in elasticity
Publication date :
2001
Journal title :
Computer Assisted Mechanics and Engineering Sciences
ISSN :
1232-308X
Publisher :
Institute of fundamental technological research, Polish Academy of Sciences
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