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An Anisotropic Locking-Free Nonconforming Triangular Finite Element Method for Planar Linear Elasticity Problem
J. Comp. Math., 30 (2012), pp. 124-138
Published online: 2012-04
[An open-access article; the PDF is free to any online user.]
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@Article{JCM-30-124,
author = {Dongyang Shi and Chao Xu},
title = {An Anisotropic Locking-Free Nonconforming Triangular Finite Element Method for Planar Linear Elasticity Problem},
journal = {Journal of Computational Mathematics},
year = {2012},
volume = {30},
number = {2},
pages = {124--138},
abstract = { The main aim of this paper is to study the nonconforming linear triangular Crouzeix-Raviart type finite element approximation of planar linear elasticity problem with the pure displacement boundary value on anisotropic general triangular meshes satisfying the maximal angle condition and coordinate system condition. The optimal order error estimates of energy norm and L^2-norm are obtained, which are independent of lam\'e parameter \lambda. Numerical results are given to demonstrate the validity of our theoretic al analysis.},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1106-m3520},
url = {http://global-sci.org/intro/article_detail/jcm/8421.html}
}
TY - JOUR
T1 - An Anisotropic Locking-Free Nonconforming Triangular Finite Element Method for Planar Linear Elasticity Problem
AU - Dongyang Shi & Chao Xu
JO - Journal of Computational Mathematics
VL - 2
SP - 124
EP - 138
PY - 2012
DA - 2012/04
SN - 30
DO - http://doi.org/10.4208/jcm.1106-m3520
UR - https://global-sci.org/intro/article_detail/jcm/8421.html
KW - Planar elasticity
KW - Nonconforming element
KW - Locking-free
KW - Anisotropic meshes
AB - The main aim of this paper is to study the nonconforming linear triangular Crouzeix-Raviart type finite element approximation of planar linear elasticity problem with the pure displacement boundary value on anisotropic general triangular meshes satisfying the maximal angle condition and coordinate system condition. The optimal order error estimates of energy norm and L^2-norm are obtained, which are independent of lam\'e parameter \lambda. Numerical results are given to demonstrate the validity of our theoretic al analysis.
Dongyang Shi & Chao Xu. (1970). An Anisotropic Locking-Free Nonconforming Triangular Finite Element Method for Planar Linear Elasticity Problem.
Journal of Computational Mathematics. 30 (2).
124-138.
doi:10.4208/jcm.1106-m3520
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