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]

摘要

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(h~(1/2)) in the thickness parameter h provided that the KL solution possesses extra reqularity.