[en] The discretization errors of finite element approximations are examined in an abstract frame which is totally indepedent of the way of obtention of the solution. It is found that the error may be decomposed in an equilibrium error and a compatibility error, which may be combined as orthogonal vectors. Both errors admit upper and lower bounds which may be computed in a post-treatment scheme.
Disciplines :
Mechanical engineering
Author, co-author :
Debongnie, Jean-François ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Méthodes de fabrication
Language :
French
Title :
Une théorie abstraite des erreurs d'approximation des modèles d'éléments finis
Alternative titles :
[en] An abstract theory of the finite element errors
