@Article{JCM-17-4, author = {Min-Fu, Feng and Xie, Xiao-Ping and Xiong, Hua-Xing}, title = {Semi-Discrete and Fully Discrete Partial Projection Finite Element Methods for the Vibrating Timoshenko Beam}, journal = {Journal of Computational Mathematics}, year = {1999}, volume = {17}, number = {4}, pages = {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. 

}, issn = {1991-7139}, doi = {https://doi.org/1999-JCM-9108}, url = {https://global-sci.com/article/85633/semi-discrete-and-fully-discrete-partial-projection-finite-element-methods-for-the-vibrating-timoshenko-beam} }