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Nonconforming finite elements for the equation of planar elasticity |
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| Authors: | Yong-qin Yang Liu-chao Xiao Shao-chun Chen |
| Institution: | 1. Department of Mathematics,Zhengzhou University,Zhengzhou 450001,P.R.China 2. College of Science,Henan University of Technology,Zhengzhou 450001,P.R.China |
| 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. |
| Keywords: | planar elasticity locking-free nonconforming finite element |
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