Equilibrated stress reconstructions for linear elasticity problems with application to a posteriori error analysis - Archive ouverte HAL Access content directly
Book Sections Year : 2017

Equilibrated stress reconstructions for linear elasticity problems with application to a posteriori error analysis

Abstract

We present an a posteriori error estimate for the linear elasticity problem. The estimate is based on an equilibrated reconstruction of the Cauchy stress tensor, which is obtained from mixed finite element solutions of local Neumann problems. We propose two different reconstructions, one using Arnold–Winther mixed finite element spaces providing a symmetric stress tensor and one using Arnold–Falk– Winther mixed finite element spaces with a weak symmetry constraint. The performance of the estimate is illustrated on a numerical test with analytical solution.
Fichier principal
Vignette du fichier
a_post_elast.pdf (137.61 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01433841 , version 1 (13-01-2017)
hal-01433841 , version 2 (16-02-2017)

Identifiers

Cite

Rita Riedlbeck, Daniele Di Pietro, Alexandre Ern. Equilibrated stress reconstructions for linear elasticity problems with application to a posteriori error analysis. Clément Cancès; Pascal Omnes. Finite Volumes for Complex Applications VIII – Methods and Theoretical Aspects, 199, pp.293-301, 2017, Springer Proceedings in Mathematics & Statistics, 978-3-319-57397-7. ⟨10.1007/978-3-319-57397-7⟩. ⟨hal-01433841v2⟩
556 View
416 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More