Nonconforming Finite Elements for the Equation of Planar Elasticity

YANG Yong-qin; XIAO Liu-chao; CHEN Shao-chun

doi:10.3879/j.issn.1000-0887.2010.12.006

Volume 31 Issue 12

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YANG Yong-qin, XIAO Liu-chao, CHEN Shao-chun. Nonconforming Finite Elements for the Equation of Planar Elasticity[J]. Applied Mathematics and Mechanics, 2010, 31(12): 1454-1464. doi: 10.3879/j.issn.1000-0887.2010.12.006

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Nonconforming Finite Elements for the Equation of Planar Elasticity

doi: 10.3879/j.issn.1000-0887.2010.12.006

1.
Department of Mathematics, Zhengzhou University, Zhengzhou 450001, P. R. China;

Received Date: 1900-01-01
Rev Recd Date: 2010-09-26
Publish Date: 2010-12-15

Abstract

Abstract

Two new locking-free nonconforming finite elements for the pure displacement planarela sticity problem were presented.Convergen cerates of the elements were uniformly optimal with respect to K.T he energy norm and L² norm errors were proved to be O (h²) and O (h³),respectively.La stly,numerical tests are carried out,which coincide with the theoretical analysis.
- planar elasticity,
- locking-free,
- nonconforming finite element

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References(18)

References

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