NDLI: Stabilised finite element methods for a bending moment formulation of the Reissner-Mindlin plate model

Content Provider	Springer Nature Link
Author	Barrios, Tomás P. Barrenechea, Gabriel R. Wachtel, Andreas
Copyright Year	2014
Abstract	This work presents new stabilised finite element methods for a bending moments formulation of the Reissner-Mindlin plate model. The introduction of the bending moment as an extra unknown leads to a new weak formulation, where the symmetry of this variable is imposed strongly in the space. This weak problem is proved to be well-posed, and stabilised Galerkin schemes for its discretisation are presented and analysed. The finite element methods are such that the bending moment tensor is sought in a finite element space constituted of piecewise linear continuos and symmetric tensors. Optimal error estimates are proved, and these findings are illustrated by representative numerical experiments.
Ending Page	369
Page Count	27
Starting Page	343
File Format	PDF
ISSN	00080624
e-ISSN	11265434
Journal	CALCOLO
Issue Number	3
Volume Number	52
Language	English
Publisher	Springer Milan
Publisher Date	2014-08-06
Publisher Place	Milan
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Stability and convergence of numerical methods Stabilised finite element method Symmetric tensor Reissner-Mindlin plate Numerical Analysis Symmetric formulation Theory of Computation Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory Computational Mathematics

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Stabilised finite element methods for a bending moment formulation of the Reissner-Mindlin plate model