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Toward alternative bounding techniques for robust goal-oriented error estimation applied to linear problems

Abstract : In this work, we propose appealing bounding techniques that enable to derive accurate and strict error bounds on outputs of interest computed from numerical approximation methods such as the finite element method. These techniques are based on Saint-Venant's principle and exploit specific homotheticity properties in order to improve 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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https://hal.archives-ouvertes.fr/hal-01057085
Contributor : Florent Pled Connect in order to contact the contributor
Submitted on : Thursday, August 21, 2014 - 1:31:41 PM
Last modification on : Monday, February 15, 2021 - 10:42:02 AM
Long-term archiving on: : Thursday, November 27, 2014 - 12:52:10 PM

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  • HAL Id : hal-01057085, version 1

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Florent Pled, Ludovic Chamoin, Pierrre Ladevèze. Toward alternative bounding techniques for robust goal-oriented error estimation applied to linear problems. 2nd ECCOMAS Young Investigators Conference (YIC 2013), Sep 2013, Bordeaux, France. ⟨hal-01057085⟩

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