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

SHI Dong-Yang;XU Chao

doi:10.1007/s10483-012-1547-8

Applied Mathematics and Mechanics >

2012 , Vol. 33 >Issue 2: 243 - 252

DOI: https://doi.org/10.1007/s10483-012-1547-8

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

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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 date: 2011-09-15

Revised date: 2011-11-07

Online 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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SHI Dong-Yang;XU Chao . Anisotropic nonconforming Crouzeix-Raviart type FEM for second-order elliptic problems[J]. Applied Mathematics and Mechanics, 2012 , 33(2) : 243 -252 . DOI: 10.1007/s10483-012-1547-8

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