Locking-free nonconforming finite elements for three-dimensional elasticity problem |
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| Authors: | Liu-Chao Xiao Yong-Qin Yang |
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| Affiliation: | a College of Science, Henan University of Technology, Zhengzhou 450001, China
b Department of Mathematics, Zhengzhou University, Zhengzhou 450001, China |
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| Abstract: | Two locking-free nonconforming finite elements are presented for three-dimensional elasticity problem with pure displacement boundary condition. Convergence rate of the elements are uniformly optimal with respect to λ. The energy norm and L2 norm errors are O(h2) and O(h3), respectively. Lastly, a numerical experiment is carried out, which coincides with the theoretical analysis. |
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| Keywords: | Three-dimensional elasticity Locking-free Nonconforming finite element Error estimate Uniform convergence |
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