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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 • 上一篇    下一篇

Nonconforming finite elements for the equation of planar elasticity

杨永琴1 肖留超2 陈绍春1   

  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
  • 收稿日期:2010-01-21 修回日期:2010-09-26 出版日期:2010-12-01 发布日期:2010-12-01

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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1

摘要： 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.

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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