Strict upper bounds of the error in calculated outputs of interest for plasticity problems

Pierre Ladevèze (1) , Benoît Blaysat (2) , Éric Florentin (3)

1 LMT - Laboratoire de Mécanique et Technologie
2 IP - Institut Pascal
3 LMT - Laboratoire de Mécanique et Technologie

This paper introduces a new computational technique for deriving guaranteed upper bounds of the error in calculated outputs of interest for plasticity problems under quasi-static conditions. This approach involves the resolution of some nonstandard additional problems, for which resolution techniques are given. All sources of error (spatial and temporal discretization, iteration stepping) are taken into account.

Mots clés: Verification; Strict bounds; Outputs of interest; Plasticity

Domaines: Mécanique des structures [physics.class-ph]; Analyse numérique [math.NA]

Pierre Ladevèze, Benoît Blaysat, Éric Florentin. Strict upper bounds of the error in calculated outputs of interest for plasticity problems. Computer Methods in Applied Mechanics and Engineering, 2012, 245-246, pp.194-205. ⟨10.1016/j.cma.2012.07.009⟩. ⟨hal-01647872⟩