TY - JOUR
T1 - Semi-Discrete and Fully Discrete Partial Projection Finite Element Methods for the Vibrating Timoshenko Beam
AU - Feng , Min-Fu
AU - Xie , Xiao-Ping
AU - Xiong , Hua-Xing
JO - Journal of Computational Mathematics
VL - 4
SP - 353
EP - 368
PY - 1999
DA - 1999/08
SN - 17
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9108.html
KW - Timoshenko beam, Finite element.
AB - <p style="text-align: justify;">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.&nbsp;</p>