The Constitutive Relation Error method: a general verification tool

Pierre Ladevèze (1) , Ludovic Chamoin (1)

1 LMT - Laboratoire de Mécanique et Technologie

This chapter reviews the Constitutive Relation Error method as a general verification tool which is very suitable to compute strict and effective error bounds for linear and more generally convex Structural Mechanics problems. The review is focused on the basic features of the method and the most recent developments.

Mots clés: Constitutive relation error; Duality; A posteriori error estimation; Goal-oriented control; Nonlinear problems; PGD models

Domaines: Génie mécanique [physics.class-ph]; Analyse numérique [math.NA]; Physique Numérique [physics.comp-ph]

Pierre Ladevèze, Ludovic Chamoin. The Constitutive Relation Error method: a general verification tool. Ludovic Chamoin; Pedro Diez. Verifying calculations – Forty years on. An Overview of Classical Verification Techniques for FEM Simulations, Springer, pp.59-94, 2016, SpringerBriefs in Applied Sciences and Technology, 9783319205533. ⟨10.1007/978-3-319-20553-3_4⟩. ⟨hal-01241730⟩