[hal-01056926] New bounding techniques for goal-oriented error estimation in FE simulations

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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