Advances in Computational Mathematics

, Volume 19, Issue 1, pp 277–291

A Locking-Free Nonconforming Finite Element Method for Planar Linear Elasticity

  • Chang-Ock Lee
  • Jongwoo Lee
  • Dongwoo Sheen
Article

DOI: 10.1023/A:1022838628615

Cite this article as:
Lee, C., Lee, J. & Sheen, D. Advances in Computational Mathematics (2003) 19: 277. doi:10.1023/A:1022838628615

Abstract

We propose a locking-free nonconforming finite element method based on quadrilaterals to solve for the displacement variable in the pure displacement boundary value problem of planar linear elasticity. The method proposed in this paper is optimal and robust in the sense that the convergence estimates in the energy and L2-norms are independent of the Lamé parameter λ.

nonconforming finite element methodplanar linear elasticitylocking effects

Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • Chang-Ock Lee
    • 1
  • Jongwoo Lee
    • 2
  • Dongwoo Sheen
    • 3
  1. 1.Division of Applied MathematicsKAISTDaejeonKorea
  2. 2.Department of MathematicsKwangwoon UniversitySeoulKorea
  3. 3.Department of MathematicsSeoul National UniversitySeoulKorea