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
    • Division of Applied MathematicsKAIST
  • Jongwoo Lee
    • Department of MathematicsKwangwoon University
  • Dongwoo Sheen
    • Department of MathematicsSeoul National University

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


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

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© Kluwer Academic Publishers 2003