Estimation des erreurs de discrétisation pour des problèmes de mécanique

Serge Prudhomme; J. Tinsley Oden

doi:10.3166/reef.12.665-689

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 journal › Article › peer-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 contribution	Discretization error estimation for mechanical problems
Original language	French
Pages (from-to)	665-689
Number of pages	25
Journal	Revue Europeenne des Elements
Volume	12
Issue number	6
DOIs	https://doi.org/10.3166/reef.12.665-689
State	Published - 2003
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

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

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10.3166/reef.12.665-689

Cite this

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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.",

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AB - 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.

KW - Goal-oriented error estimation

KW - Linearelasticity

KW - Lower and upper bounds

KW - Residual method

KW - Vibrations

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ER -

Estimation des erreurs de discrétisation pour des problèmes de mécanique

Abstract

Keywords

ASJC Scopus subject areas

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