Mixed Higher Order Spectral Finite Elements for Reissner-Mindlin Equations in the Time Domain
2007
Publication type:
Paper in peer-reviewed journals
Journal:
SIAM journal on Scientific Computing, vol. 29(3), pp. 986-1005
DOI:
HAL:
Abstract:
We construct a class of high order numerical approximations for the Reissner-Mindlin plate model in the time domain, based on mixed spectral finite elements with mass lumping. In this way we obtain explicit time-stepping schemes. We first compare the Reissner-Mindlin model to three-dimensional (3D) solutions to validate our method. Then, we show the advantages of the schemes in terms of accuracy and computational time.
BibTeX:
@article{Coh-Gro-2007,
author={Gary Cohen and Pascal Grob },
title={Mixed Higher Order Spectral Finite Elements for
Reissner-Mindlin Equations in the Time Domain },
doi={10.1137/050642332 },
journal={SIAM journal on Scientific Computing },
year={2007 },
volume={29(3) },
pages={986--1005},
}