no. 17-18
Numerical Analysis
Estimates of the modeling error for the Kirchhoff–Love plate model
[Estimation de l'erreur de modélisation pour le modèle de plaque de Kirchhoff–Love]

Présenté par : Philippe G. Ciarlet

Repin, Sergey1 ; Sauter, Stefan A.2
1 St. Petersburg Department of V.A. Steklov Institute of Mathematics, Fontanka 27, 191 023 St. Petersburg, Russia
2 Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland
Comptes Rendus. Mathématique, Tome 348 (2010) no. 17-18, pp. 1039-1043.

Dans ce travail on considère le modèle de Kirchhoff–Love pour approcher les problèmes de plaques minces sous certaines conditions. Nous présentons des majorants d'erreur calculables. La borne de l'erreur relative converge comme O(h1/2) en terme du paramètre d'épaisseur h pourvu que la KL solution ait un peu plus de régularité.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2010.09.004
Repin, Sergey 1 ; Sauter, Stefan A. 2

1 St. Petersburg Department of V.A. Steklov Institute of Mathematics, Fontanka 27, 191 023 St. Petersburg, Russia
2 Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland 
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Repin, Sergey; Sauter, Stefan A. Estimates of the modeling error for the Kirchhoff–Love plate model. Comptes Rendus. Mathématique, Tome 348 (2010) no. 17-18, pp. 1039-1043. doi : 10.1016/j.crma.2010.09.004. http://www.numdam.org/articles/10.1016/j.crma.2010.09.004/

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