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Synergies between the constitutive relation error concept and PGD model reduction for simplified V&V procedures

Abstract : The paper deals with the constitutive relation error (CRE) concept which has been widely used over the last 40 years for verification and validation of computational mechanics models. It more specifically focuses on the beneficial use of model reduction based on proper generalized decomposition (PGD) into this CRE concept. Indeed, it is shown that a PGD formulation can facilitate the construction of so-called admissible fields which is a technical key-point of CRE. Numerical illustrations, addressing both model verification and model updating, are presented to assess the performances of the proposed approach.
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https://hal.archives-ouvertes.fr/hal-01326280
Contributor : Pierre-Eric Allier Connect in order to contact the contributor
Submitted on : Friday, June 3, 2016 - 1:51:17 PM
Last modification on : Monday, July 5, 2021 - 9:48:23 AM

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Ludovic Chamoin, Pierre-Eric Allier, Basile Marchand. Synergies between the constitutive relation error concept and PGD model reduction for simplified V&V procedures . Advanced Modeling and Simulation in Engineering Sciences, SpringerOpen, 2016, 3 (18), ⟨10.1186/s40323-016-0073-9⟩. ⟨hal-01326280⟩

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