An a posteriori error estimator for the Lamé equation based on equilibrated fluxes

Serge Nicaise; Katharina Witowski; Barbara I. Wohlmuth

doi:10.1093/imanum/drm008

An a posteriori error estimator for the Lamé equation based on equilibrated fluxes

Serge Nicaise, Katharina Witowski, Barbara I. Wohlmuth

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

38 Scopus citations

Abstract

We derive a new a posteriori error estimator for the Lamé system based on H(div)-conforming elements and equilibrated fluxes. It is shown that the estimator gives rise to an upper bound where the constant is one up to higher-order terms. The lower bound is also established using Argyris elements. The reliability and efficiency of the proposed estimator are confirmed by some numerical tests.

Original language	English
Pages (from-to)	331-353
Number of pages	23
Journal	IMA Journal of Numerical Analysis
Volume	28
Issue number	2
DOIs	https://doi.org/10.1093/imanum/drm008
State	Published - Apr 2008
Externally published	Yes

Keywords

A posteriori error estimates
Equilibrated fluxes
Linear elasticity
Mixed finite elements

Access to Document

10.1093/imanum/drm008

Cite this

@article{7ee2d88409c740eb98c9655ff4de494f,

title = "An a posteriori error estimator for the Lam{\'e} equation based on equilibrated fluxes",

abstract = "We derive a new a posteriori error estimator for the Lam{\'e} system based on H(div)-conforming elements and equilibrated fluxes. It is shown that the estimator gives rise to an upper bound where the constant is one up to higher-order terms. The lower bound is also established using Argyris elements. The reliability and efficiency of the proposed estimator are confirmed by some numerical tests.",

keywords = "A posteriori error estimates, Equilibrated fluxes, Linear elasticity, Mixed finite elements",

author = "Serge Nicaise and Katharina Witowski and Wohlmuth, {Barbara I.}",

note = "Funding Information: This work was supported in part by the Deutsche Forschungsgemeinschaft, SFB 404, B8.",

year = "2008",

month = apr,

doi = "10.1093/imanum/drm008",

language = "English",

volume = "28",

pages = "331--353",

journal = "IMA Journal of Numerical Analysis",

issn = "0272-4979",

publisher = "Oxford University Press",

number = "2",

}

TY - JOUR

T1 - An a posteriori error estimator for the Lamé equation based on equilibrated fluxes

AU - Nicaise, Serge

AU - Witowski, Katharina

AU - Wohlmuth, Barbara I.

N1 - Funding Information: This work was supported in part by the Deutsche Forschungsgemeinschaft, SFB 404, B8.

PY - 2008/4

Y1 - 2008/4

N2 - We derive a new a posteriori error estimator for the Lamé system based on H(div)-conforming elements and equilibrated fluxes. It is shown that the estimator gives rise to an upper bound where the constant is one up to higher-order terms. The lower bound is also established using Argyris elements. The reliability and efficiency of the proposed estimator are confirmed by some numerical tests.

AB - We derive a new a posteriori error estimator for the Lamé system based on H(div)-conforming elements and equilibrated fluxes. It is shown that the estimator gives rise to an upper bound where the constant is one up to higher-order terms. The lower bound is also established using Argyris elements. The reliability and efficiency of the proposed estimator are confirmed by some numerical tests.

KW - A posteriori error estimates

KW - Equilibrated fluxes

KW - Linear elasticity

KW - Mixed finite elements

UR - http://www.scopus.com/inward/record.url?scp=41549109300&partnerID=8YFLogxK

U2 - 10.1093/imanum/drm008

DO - 10.1093/imanum/drm008

M3 - Article

AN - SCOPUS:41549109300

SN - 0272-4979

VL - 28

SP - 331

EP - 353

JO - IMA Journal of Numerical Analysis

JF - IMA Journal of Numerical Analysis

IS - 2

ER -

An a posteriori error estimator for the Lamé equation based on equilibrated fluxes

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this