An Anisotropic Locking-Free Nonconforming Triangular Finite Element Method for Planar Linear Elasticity Problem
Year: 2012
Journal of Computational Mathematics, Vol. 30 (2012), Iss. 2 : pp. 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.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1106-m3520
Journal of Computational Mathematics, Vol. 30 (2012), Iss. 2 : pp. 124–138
Published online: 2012-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Planar elasticity Nonconforming element Locking-free Anisotropic meshes.
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The Crouzeix-Raviart type nonconforming finite element method for the nonstationary Navier-Stokes equations on anisotropic meshes
Shi, Dong-yang
Wang, Hui-min
Acta Mathematicae Applicatae Sinica, English Series, Vol. 30 (2014), Iss. 1 P.145
https://doi.org/10.1007/s10255-014-0274-2 [Citations: 2]