Ciarlet, Philippe G. ; Gratie, Liliana ; Kesavan, Srinivasan (2005) Numerical analysis of the generalized von Karman equations Comptes Rendus Mathematique, 341 (11). pp. 695-699. ISSN 1631-073X
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S16310...
Related URL: http://dx.doi.org/10.1016/j.crma.2005.09.031
Abstract
The 'generalized von Karman equations' constitute a mathematical model for a nonlinearly elastic plate subjected to boundary conditions 'of von Karman type' only on a portion of its lateral face, the remaining portion being free. We establish here the convergence of a conforming finite element approximation to these equations. The proof relies in particular on a compactness method due to J.-L. Lions and on Brouwer's fixed point theorem.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 16335 |
| Deposited On: | 15 Nov 2010 13:50 |
| Last Modified: | 22 Feb 2011 10:33 |
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