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Journal Articles Computer Methods in Applied Mechanics and Engineering Year : 2012

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

Abstract

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.
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hal-01647872 , version 1 (13-01-2020)

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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⟩
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