Year: 1998
Author: Xiaoliang Cheng, Hongci Huang, Jun Zou
Journal of Computational Mathematics, Vol. 16 (1998), Iss. 4 : pp. 357–366
Abstract
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 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1998-JCM-9166
Journal of Computational Mathematics, Vol. 16 (1998), Iss. 4 : pp. 357–366
Published online: 1998-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Planar linear elasticity optimal error estimates large Lamé constant locking phenomenon.