A family of C^0 finite elements for Kirchhoff plates I: Error analysis
Numerical Analysis
2007-05-23 v1
Abstract
A new finite element formulation for the Kirchhoff plate model is presented. The method is a displacement formulation with the deflection and the rotation vector as unknowns and it is based on ideas stemming from a stabilized method for the Reissner--Mindlin model and a method to treat a free boundary. Optimal a-priori and a-posteriori error estimates are derived.
Keywords
Cite
@article{arxiv.math/0611690,
title = {A family of C^0 finite elements for Kirchhoff plates I: Error analysis},
author = {L. Beirao da Veiga and J. Niiranen and R. Stenberg},
journal= {arXiv preprint arXiv:math/0611690},
year = {2007}
}
Comments
23 pages