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

doi:10.1007/s10483-012-1547-8

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

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

石东洋¹ 许超²

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

收稿日期:2011-09-15 修回日期:2011-11-07 出版日期:2012-01-11 发布日期:2012-02-01

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

SHI Dong-Yang¹, XU Chao²

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

摘要/Abstract

摘要： 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.

中图分类号:

65N30
65N15

石东洋许超. Anisotropic nonconforming Crouzeix-Raviart type FEM for second-order elliptic problems[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(2): 243-252.

SHI Dong-Yang;XU Chao. Anisotropic nonconforming Crouzeix-Raviart type FEM for second-order elliptic problems[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(2): 243-252.

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

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

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