Strict error bounds for linear and nonlinear solid mechanics problems using a subdomain-based flux-free method - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Mechanics & Industry Année : 2010

Strict error bounds for linear and nonlinear solid mechanics problems using a subdomain-based flux-free method

Résumé

We discuss, in this paper, a common flux-free method for the computation of strict error bounds for linear and nonlinear Finite Element computations. In the linear case, the error bounds are on the energy norm of the error, while, in the nonlinear case, the concept of error in constitutive relation is used. In both cases, the error bounds are strict in the sense that they re- fer to the exact solution of the continuous equations, rather than to some FE computation over a refined mesh. For both linear and nonlinear solid mechanics, this method is based on the computation of a statically admissible stress field, which is performed as a series of local problems on patches of elements. There is no requirement to solve a previous problem of flux equilibration globally, as happens with other methods.
Fichier principal
Vignette du fichier
Cottereau2010_MI.pdf (1.45 Mo) Télécharger le fichier
Origine : Fichiers éditeurs autorisés sur une archive ouverte
Loading...

Dates et versions

hal-00709538 , version 1 (19-06-2012)

Identifiants

Citer

Régis Cottereau, Ludovic Chamoin, Pedro Diez. Strict error bounds for linear and nonlinear solid mechanics problems using a subdomain-based flux-free method. Mechanics & Industry, 2010, 11 (3-4), pp.249-254. ⟨10.1051/meca/2010049⟩. ⟨hal-00709538⟩
232 Consultations
254 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More