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Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (12): 1537-1548.doi: https://doi.org/10.1007/s10483-010-1382-7

• Articles • Previous Articles     Next Articles

Nonconforming finite elements for the equation of planar elasticity

YANG Yong-Qin1, XIAO Liu-Chao2, CHEN Chao-Chun1   

  1. 1. Department of Mathematics, Zhengzhou University, Zhengzhou 450001, P. R. China;
    2. College of Science, Henan University of Technology, Zhengzhou 450001, P. R. China
  • Received:2010-01-21 Revised:2010-09-26 Online:2010-12-01 Published:2010-12-01

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Abstract: Two new locking-free nonconforming finite elements for the pure displacement planar elasticity problem are presented. Convergence rates of the elements are uniformly optimal with respect to λ. The energy norm and L2 norm errors are proved to be O(h2) and O(h3), respectively. Numerical tests confirm the theoretical analysis.

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