A non-intrusive approach of goal-oriented error estimation for evolution problems solved by the finite element method

Authors

  • Ludovic Chamoin LMT-Cachan (ENS Cachan/CNRS/Paris 6/PRES Univ. Sud-Paris) 61 av. du Président Wilson, F-94230 Cachan
  • Pierre Ladevèze LMT-Cachan (ENS Cachan/CNRS/Paris 6/PRES Univ. Sud-Paris) 61 av. du Président Wilson, F-94230 Cachan and EADS Foundation Chair “Advanced Computational Structural Mechanics

DOI:

https://doi.org/10.13052/REMN.17.981-992

Keywords:

verification, Local error, strict bounds, non-intrusive methods, handbook techniques, pointwise quantities of interest

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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Published

2008-09-26

How to Cite

Chamoin, L., & Ladevèze, P. . (2008). A non-intrusive approach of goal-oriented error estimation for evolution problems solved by the finite element method. European Journal of Computational Mechanics, 17(5-7), 981–992. https://doi.org/10.13052/REMN.17.981-992

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