Encadrement a posteriori de quantités locales dans les problèmes de viscoélaticité linéaire résolus par la méthode des éléments finis

Abstract : In this work, we present a method that provides for strict and high quality bounds for goaloriented error in numerical simulations using the Finite Element Method. We focus on linear viscoelasticity problems described through internal variables. From a general procedure developed at LMT Cachan, several enhancements are dealt with such as taking history effects into account, a non intrusive feature for the method, or modeling error. The efficiency of the method is shown through différent numerical examples in 1D, 2D and 3D.
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https://tel.archives-ouvertes.fr/tel-00341845
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Submitted on : Wednesday, November 26, 2008 - 10:48:01 AM
Last modification on : Thursday, November 22, 2018 - 2:29:19 PM
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  • HAL Id : tel-00341845, version 1

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Ludovic Chamoin. Encadrement a posteriori de quantités locales dans les problèmes de viscoélaticité linéaire résolus par la méthode des éléments finis. Mécanique [physics.med-ph]. École normale supérieure de Cachan - ENS Cachan, 2007. Français. ⟨tel-00341845⟩

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