Tetrahedral finite element for dual analysis. (Eléments finis tétraédriques pour l’analyse duale.) (French. English summary) Zbl 1226.76026

Summary: The error estimation by pure dual analysis requires two finite element computations. It is based on the results of displacement and equilibrium approaches of a given problem. It allows to compute the cumulated global discretization error of the two models by a simple comparison of the total energies computed using both methods. This paper presents the development of a new family of equilibrium type tetrahedral finite elements leading to statically admissible solutions of 3D finite element problems. Two examples of dual analysis using these elements are also presented.


76M10 Finite element methods applied to problems in fluid mechanics
Full Text: DOI