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Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (2): 243-252.doi: https://doi.org/10.1007/s10483-012-1547-8

• Articles • Previous Articles     Next Articles

Anisotropic nonconforming Crouzeix-Raviart type FEM for second-order elliptic problems

SHI Dong-Yang1, XU Chao2   

  1. 1. Department of Mathematics, Zhengzhou University, Zhengzhou 450052, P. R. China;
    2. Department of Mathematics and Physics, Luoyang Institute of Science and Technology, Luoyang 471023, Henan Province, P. R. China
  • Received:2011-09-15 Revised:2011-11-07 Online:2012-01-11 Published:2012-02-01

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

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