TY - JOUR
T1 - Semi-Discrete and Fully Discrete Hybrid Stress Finite Element Methods for Elastodynamic Problems
AU - Zhengqin Yu & Xiaoping Xie
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 4
SP - 582
EP - 604
PY - 2015
DA - 2015/08
SN - 8
DO - http://doi.org/10.4208/nmtma.2015.m1324
UR - https://global-sci.org/intro/article_detail/nmtma/12424.html
KW - 
AB - <p style="text-align: justify;">This paper proposes and analyzes semi-discrete and fully discrete hybrid stress finite element methods for elastodynamic problems. A hybrid stress quadrilateral finite element approximation is used in the space directions. A second-order center difference is adopted in the time direction for the fully discrete scheme. Error estimates of the two schemes, as well as a stability result for the fully discrete scheme, are derived. Numerical experiments are done to verify the theoretical results.</p>