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Volume 30, Issue 2
An Anisotropic Locking-Free Nonconforming Triangular Finite Element Method for Planar Linear Elasticity Problem

Dongyang Shi & Chao Xu

DOI: 10.4208/jcm.1106-m3520

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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  • 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 lamé parameter $λ$. Numerical results are given to demonstrate the validity of our theoretical analysis.

  • Keywords

Planar elasticity, Nonconforming element, Locking-free, Anisotropic meshes.

  • AMS Subject Headings

65N30, 65N15.

  • Copyright

COPYRIGHT: © Global Science Press

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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 lamé parameter $λ$. Numerical results are given to demonstrate the validity of our theoretical 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, Nonconforming element, Locking-free, 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 lamé parameter $λ$. Numerical results are given to demonstrate the validity of our theoretical analysis.

Dongyang Shi and Chao Xu. (2012). 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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