@Article{AAMM-8-3,
author = {Yanhong, Bai and Yongke, Wu and Xie, Xiaoping},
title = {Uniform Convergence Analysis of a Higher Order Hybrid Stress Quadrilateral Finite Element Method for Linear Elasticity Problems},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2016},
volume = {8},
number = {3},
pages = {399--425},
abstract = {<p style="text-align: justify;">This paper derives a higher order hybrid stress finite element method on
quadrilateral meshes for linear plane elasticity problems. The method employs continuous
piecewise bi-quadratic functions in local coordinates to approximate the displacement
vector and a piecewise-independent 15-parameter mode to approximate the
stress tensor. Error estimation shows that the method is free from Poisson-locking and
has second-order accuracy in the energy norm. Numerical experiments confirm the
theoretical results.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2014.m548},
url = {https://global-sci.com/article/73338/uniform-convergence-analysis-of-a-higher-order-hybrid-stress-quadrilateral-finite-element-method-for-linear-elasticity-problems}
}