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A non-intrusive approach of goal-oriented error estimation for evolution problems solved by the Finite Element Method

Abstract : In this article, we set up a non-intrusive procedure that yields for strict and highquality error bounds of quantities of interest in linear viscoelasticity problems solved by means of the Finite Element Method. The non-intrusive feature is achieved by introducing, via a partition of unity, enrichment functions in the solution of the adjoint problem (handbook techniques). The resulting goal-oriented error estimation method is thus easy to implement in a FE code and enables to consider trully pointwise quantities of interest.
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https://hal.archives-ouvertes.fr/hal-01581380
Contributor : Ludovic Chamoin <>
Submitted on : Monday, September 4, 2017 - 3:26:27 PM
Last modification on : Saturday, May 25, 2019 - 1:43:46 AM

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Ludovic Chamoin, Pierre Ladevèze. A non-intrusive approach of goal-oriented error estimation for evolution problems solved by the Finite Element Method. Revue Européenne de Mécanique Numérique/European Journal of Computational Mechanics, Hermès / Paris : Lavoisier 2008, 17 (5-7), pp.981-992. ⟨10.3166/remn.17.981-992⟩. ⟨hal-01581380⟩

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