Real-time validation of mechanical models coupling PGD and constitutive relation error

DOI10.1007/s00466-013-0850-yzbMath1311.74030OpenAlexW1987099643MaRDI QIDQ386312

Ludovic Chamoin, François Louf, Robin Bouclier

Publication date: 9 December 2013

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-013-0850-y

zbMATH Keywords

model reductionmodel updatingconstitutive relation errorreal-time validation

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Linear constitutive equations for materials with memory (74D05)

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Fast model updating coupling Bayesian inference and PGD model reduction ⋮ Real-time updating of structural mechanics models using Kalman filtering, modified constitutive relation error, and proper generalized decomposition ⋮ A domain decomposition strategy for mCRE-based model updating in dynamics ⋮ Goal-oriented updating of mechanical models using the adjoint framework ⋮ Parameter identification and model updating in the context of nonlinear mechanical behaviors using a unified formulation of the modified constitutive relation error concept ⋮ Approximation of constrained problems using the PGD method with application to pure Neumann problems ⋮ \textit{A posteriori} error estimation and adaptive strategy for PGD model reduction applied to parametrized linear parabolic problems

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