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2005, Volume 2005: 181-189. Doi: 10.3934/proc.2005.2005.181 open access
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Locking-free nonconforming finite elements for planar linear elasticity

  • 1.

    Department of Mathematics, Box 750156, Southern Methodist University, Dallas, TX 75275-0156

  • 2.

    Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152

Received:  August 31, 2004
Revised:  January 31, 2005
Published:  August 2005
Abstract Related Papers Cited by
    Abstract
  • In this paper we introduce a nonconforming finite element method for a planar linear elasticity problem. We show that this nonconforming method is robust in that error estimates generated by it are uniform with respect to one of the Lamé elasticity constants, $\l$; i.e., it is locking-free. Applications to nonconforming $P_1$ and rotated $Q_1$ finite elements are discussed.
    Mathematics Subject Classification: 65N30, 65N22; Secondary: 65F10.

    Citation:
    shu

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