[en] The dual analysis concept, which is one of the oldest methods of measuring the discretization error of finite element models, suffered by its lack of generality in its original version. In fact, severe restrictions were imposed to the boundary conditions, excluding any mixed problem. These restrictions, related to an analysis where stiffness plays a central role, can be avoided by using the proper reference energy, which is the total complementary energy. This leads to convergence curves which are always on the same side of the exact value and whose distance measures the quality of the analyses.
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 :
Recent advances in the dual analysis theory
Alternative titles :
[fr] Récents progrès de la théorie de l'analyse duale
Publication date :
June 1999
Number of pages :
17
Event name :
IV Congreso Metodos Numericos en Ingenieria
Event organizer :
Sociedad Española de Métodos Numéricos en Ingenieria
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