Semi-Discrete and Fully Discrete Partial Projection Finite Element Methods for the Vibrating Timoshenko Beam
Year: 1999
Author: Min-Fu Feng, Xiao-Ping Xie, Hua-Xing Xiong
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 4 : pp. 353–368
Abstract
In this paper, the partial projection finite element method is applied to the time-dependent problem – the damped vibrating Timoshenko beam model. It is proved that this method allows some new combinations of interpolations for stress and displacement fields. When assuming that a smooth solution exists, we obtain optimal convergence rates with constants independent of the beam thickness.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1999-JCM-9108
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 4 : pp. 353–368
Published online: 1999-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Timoshenko beam Finite element.