Constant-free explicit error estimator with sharp upper error bound property for adaptive FE analysis in elasticity and fracture-Reference-Cited by-同舟云学术

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Constant-free explicit error estimator with sharp upper error bound property for adaptive FE analysis in elasticity and fracture

Published:2014-10-20 Issue:2 Volume:101 Page:79-126
ISSN:0029-5981
Container-title:International Journal for Numerical Methods in Engineering
language:en
Short-container-title:Int. J. Numer. Meth. Engng

Author:

Gerasimov T.¹,Stein E.²,Wriggers P.³

Affiliation:

1. Institute of Applied Mechanics; Technische Universität Braunschweig; Bienroder Weg 87 38106 Braunschweig Germany

2. Institute of Mechanics and Computational Mechanics; Leibniz Universität Hannover; Appelstr. 9A 30167 Hannover Germany

3. Institute of Continuum Mechanics; Leibniz Universität Hannover; Appelstr. 11 30167 Hannover Germany

Funder

German Research Foundation (DFG)

Publisher

Wiley

Subject

Applied Mathematics,General Engineering,Numerical Analysis

Reference56 articles.

1. Analysis of optimal finite-element meshes in R1;Babuška;Mathematics of Computation,1979

2. A posteriori error analysis and adaptive processes in the finite element method. Part I - Error analysis;Kelly;International Journal for Numerical Methods in Engineering,1983

3. Error estimate procedure in the finite element method and applications;Ladevèze;SIAM Journal on Numerical analysis,1983

4. Some a posteriori error estimators for elliptic partial differential equations;Bank;Mathematics of Computation,1985

5. A feedback finite element method with a posteriori error estimation: Part I. The finite element method and some basic properties of the a posteriori error estimator;Babuška;Computer Methods in Applied Mechanics and Engineering,1987

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