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Estimates of the modeling error for the Kirchhoff–Love plate model


Repin, S; Sauter, S A (2010). Estimates of the modeling error for the Kirchhoff–Love plate model. Comptes Rendus Mathematique, 348(17-18):1039-1043.

Abstract

In this Note we consider the Kirchhoff–Love model for approximating problems in linear elasticity on thin plates under certain hypotheses. We will present computable error majorants for the arising modelling error. The majorant for the relative error converges with a rate O(h1/2) in the thickness parameter h provided that the KL solution possesses extra reqularity.

Abstract

In this Note we consider the Kirchhoff–Love model for approximating problems in linear elasticity on thin plates under certain hypotheses. We will present computable error majorants for the arising modelling error. The majorant for the relative error converges with a rate O(h1/2) in the thickness parameter h provided that the KL solution possesses extra reqularity.

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Additional indexing

Other titles:Estimation de l'erreur de modélisation pour le modèle de plaque de Kirchhoff–Love
Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > General Mathematics
Language:English
Date:20 September 2010
Deposited On:11 Nov 2010 12:03
Last Modified:05 Nov 2023 02:39
Publisher:Elsevier
ISSN:1631-073X
OA Status:Green
Publisher DOI:https://doi.org/10.1016/j.crma.2010.09.004
Related URLs:http://www.math.uzh.ch/fileadmin/math/preprints/11_09.pdf