@Article{JCM-16-4,
author = {Xiaoliang, Cheng and Huang, Hongci and Zou, Jun},
title = {Quadrilateral Finite Elements for Planar Linear Elasticity Problem with Large Lamé Constant},
journal = {Journal of Computational Mathematics},
year = {1998},
volume = {16},
number = {4},
pages = {357--366},
abstract = {<p style="text-align: justify;">In this paper, we discuss the quadrilateral finite element approximation to the two-dimensional linear elasticity problem associated with a homogeneous isotropic elastic material. The optimal convergence of the finite element method is proved for both the $L^2$-norm and energy-norm, and in particular, the convergence is uniform with respect to the Lamé&nbsp;constant $\lambda$. Also the performance of the scheme does not deteriorate as the material becomes nearly incompressible. Numerical experiments are given which are consistent with our theory.&nbsp;</p>},
issn = {1991-7139},
doi = {https://doi.org/1998-JCM-9166},
url = {https://global-sci.com/article/85699/quadrilateral-finite-elements-for-planar-linear-elasticity-problem-with-large-lame-constant}
}