@Article{AAMM-9-2,
author = {Xu, Xiaojing and Xie, Xiaoping},
title = {Robust Semi-Discrete and Fully Discrete Hybrid Stress Finite Element Methods for Elastodynamic Problems},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2017},
volume = {9},
number = {2},
pages = {324--348},
abstract = {<p style="text-align: justify;">This paper analyzes semi-discrete and fully discrete hybrid stress quadrilateral
finite element methods for 2-dimensional linear elastodynamic problems. The
methods use a 4-node hybrid stress quadrilateral element in the space discretization.
In the fully discrete scheme, an implicit second-order scheme is adopted in the time
discretization. We derive optimal a priori error estimates for the two schemes and
an unconditional stability result for the fully discrete scheme. Numerical experiments
confirm the theoretical results.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2015.m1326},
url = {https://global-sci.com/article/73253/robust-semi-discrete-and-fully-discrete-hybrid-stress-finite-element-methods-for-elastodynamic-problems}
}