Chinese Quarterly Journal of Mathematics ›› 2010, Vol. 25 ›› Issue (1): 8-15.

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A Rectangular Finite Element for Planar Elasticity and Stokes Problems

  

  1. 1. Department of Mathematics, Zhengzhou University2. E & A College, Hebei Normal University of Science and Technology
  • Received:2007-10-17 Online:2010-03-30 Published:2023-06-07
  • About author:CHEN Shao-chun(1947- ), male, native of Bozhou, Anhui, a professor of Zhengzhou University, Ph.D., engages in computational mathematics; ZHANG Bu-ying(1981- ), female, native of Zhangjiakou, Hebei, M.S.D., engages in computational mathematics.
  • Supported by:
     Supported by NSF of China(10771198； 10590353)；

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Abstract: In this paper, a locking-free nonconforming rectangular finite element scheme is presented for the planar elasticity problem with pure displacement boundary condition. Meanwhile, we prove that this element is also convergent for stationary Stokes problem.

Key words: locking-free, the planar elasticity problem, pure displacement boundary condition, Stokes problem

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