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.
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.
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.
| 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 |
Repin, S