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New bounding techniques for goal-oriented error estimation in FE simulations

Abstract : In this work, we propose new bounding techniques that enable to derive accurate and strict error bounds on outputs of interest computed from numerical ap- proximation methods such as the finite element method. These techniques are based on Saint-Venant's principle and exploit specific homotheticity properties in order to im- prove the quality of the bounds computed from the classical bounding technique. The capabilities of the proposed approaches are illustrated through two-dimensional numerical experiments carried out on a linear elasticity problem.
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Submitted on : Wednesday, August 20, 2014 - 9:55:28 PM
Last modification on : Monday, February 15, 2021 - 10:49:33 AM
Long-term archiving on: : Thursday, November 27, 2014 - 12:22:09 PM


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  • HAL Id : hal-01056926, version 1


Florent Pled, Ludovic Chamoin, Pierre Ladevèze. New bounding techniques for goal-oriented error estimation in FE simulations. 6th International Conference on Adaptive Modeling and Simulation (ADMOS 2013), Jun 2013, Lisbon, Portugal. pp.528-539. ⟨hal-01056926⟩



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