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Superconvergence Analysis of a Nonconforming Triangular Element on Anisotropic Meshes

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Abstract

The class of anisotropic meshes we conceived abandons the regular assumption. Some distinct properties of Carey’s element are used to deal with the superconvergence for a class of two-dimensional second-order elliptic boundary value problems on anisotropic meshes. The optimal results are obtained and numerical examples are given to confirm our theoretical analysis.

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Authors and Affiliations

  1. Department of Mathematics, Zhengzhou University, Zhengzhou, 450052, China

    Dongyang Shi & Caixia Wang

  2. Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China

    Hui Liang

Authors
  1. Dongyang Shi
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  2. Hui Liang
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  3. Caixia Wang
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Correspondence to Dongyang Shi.

Additional information

The research is Supported by National Natural Science Foundation of China under Grant No. 10371113.

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Shi, D., Liang, H. & Wang, C. Superconvergence Analysis of a Nonconforming Triangular Element on Anisotropic Meshes. Jrl Syst Sci & Complex 20, 536–544 (2007). https://doi.org/10.1007/s11424-007-9051-0

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  • DOI: https://doi.org/10.1007/s11424-007-9051-0

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