Practical methods for a posteriori error estimation in engineering applications

Serge Prudhomme; J. Tinsley Oden; Tim Westermann; Jon Bass; Mark E. Botkin

doi:10.1002/nme.609

Practical methods for a posteriori error estimation in engineering applications

Serge Prudhomme^*, J. Tinsley Oden, Tim Westermann, Jon Bass, Mark E. Botkin

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

59 Scopus citations

Abstract

This work presents an extension of the goal-oriented error estimation technique to the engineering analysis of three-dimensional linear elastic bodies. In the series of examples shown, the errors are estimated with respect to local displacement and stress components. The paper also introduces novel means to compute lower bounds on the error in the energy norm based on a cost-effective postprocessing of the upper bound error estimates. The numerical results indicate that the method can be used effectively for complex engineering applications.

Original language	English (US)
Pages (from-to)	1193-1224
Number of pages	32
Journal	International Journal for Numerical Methods in Engineering
Volume	56
Issue number	8
DOIs	https://doi.org/10.1002/nme.609
State	Published - Feb 28 2003
Externally published	Yes

Keywords

Dual problem
Goal-oriented error estimation
Linear elasticity
Quantity of interest
Upper and lower bounds

ASJC Scopus subject areas

Numerical Analysis
General Engineering
Applied Mathematics

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10.1002/nme.609

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AU - Bass, Jon

AU - Botkin, Mark E.

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Y1 - 2003/2/28

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AB - This work presents an extension of the goal-oriented error estimation technique to the engineering analysis of three-dimensional linear elastic bodies. In the series of examples shown, the errors are estimated with respect to local displacement and stress components. The paper also introduces novel means to compute lower bounds on the error in the energy norm based on a cost-effective postprocessing of the upper bound error estimates. The numerical results indicate that the method can be used effectively for complex engineering applications.

KW - Dual problem

KW - Goal-oriented error estimation

KW - Linear elasticity

KW - Quantity of interest

KW - Upper and lower bounds

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ER -

Practical methods for a posteriori error estimation in engineering applications

Abstract

Keywords

ASJC Scopus subject areas

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