Estimation des erreurs de discrétisation pour des problèmes de mécanique

Translated title of the contribution: Discretization error estimation for mechanical problems

Serge Prudhomme, J. Tinsley Oden

Research output: Contribution to journalArticlepeer-review

Abstract

This paper presents goal-oriented error estimators for finite element analysis of linear elasticity equations and eigenvalue problems. In these applications, it is shown that the error in the quantity of interest can be expressed in terms of the errors in the energy norm in the approximations of the primal and dual problems. Computable estimators and bounds for the error in the quantity of interest are then derived making use of known global estimators. Performance of this approach is demonstrated on several test problems.

Translated title of the contributionDiscretization error estimation for mechanical problems
Original languageFrench
Pages (from-to)665-689
Number of pages25
JournalRevue Europeenne des Elements
Volume12
Issue number6
DOIs
StatePublished - 2003
Externally publishedYes

Keywords

  • Goal-oriented error estimation
  • Linearelasticity
  • Lower and upper bounds
  • Residual method
  • Vibrations

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Modeling and Simulation
  • Computational Mechanics
  • Computational Mathematics

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