Anisotropic Nonconforming Crouzeix-Raviart Type FEM for Second Order Elliptic Problems

SHI Dong-yang; XU Chao

doi:10.3879/j.issn.1000-0887.2012.02.009

Volume 33 Issue 2

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SHI Dong-yang, XU Chao. Anisotropic Nonconforming Crouzeix-Raviart Type FEM for Second Order Elliptic Problems[J]. Applied Mathematics and Mechanics, 2012, 33(2): 240-249. doi: 10.3879/j.issn.1000-0887.2012.02.009

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Anisotropic Nonconforming Crouzeix-Raviart Type FEM for Second Order Elliptic Problems

doi: 10.3879/j.issn.1000-0887.2012.02.009

SHI Dong-yang^1
,,
XU Chao²

¹Department of Mathematics, Zhengzhou University, Zhengzhou 450052, P.R.China;²Department of Mathematics and Physics, Luoyang Institute of Science and Technology, Luoyang, Henan 471023, P.R.China

Received Date: 2011-09-15
Rev Recd Date: 2011-11-07
Publish Date: 2012-02-15

Abstract

Abstract

The nonconforming Crouzeix-Raviart type linear triangular finite element approximation to second order elliptic problems was studied on anisotropic general triangular meshes in 2D satisfying the maximal angle condition and coordinate system condition. The optimal order error estimates of the broken energy norm and L²-norm are obtained.
- nonconforming finite element,
- elliptic problems,
- anisotropic meshes

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References(21)

References

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