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Anisotropic Biquadratic Element with Superclose Result

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Abstract

The main aim of this paper is to study the convergence of biquadratic finite element for the second order problem on anisotropic meshes. By using some novel approaches and techniques, the optimal error estimates are obtained. At the same time, the anisotropic superclose results are also achieved. Furthermore, the numerical results are given to demonstrate our theoretical analysis.

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Authors and Affiliations

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

    Dongyang Shi, Shipeng Mao & Hui Liang

Authors
  1. Dongyang Shi
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  2. Shipeng Mao
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  3. Hui Liang
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Corresponding author

Correspondence to Dongyang Shi.

Additional information

The research is supported by National Science Foundation of China under Grant No. 10371113, Foundation of Overseas Scholar of China under Grant No. (2002)119 and the Project of the Creative Engineering of Henan Province of China.

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Shi, D., Mao, S. & Liang, H. Anisotropic Biquadratic Element with Superclose Result. Jrl Syst Sci & Complex 19, 566–576 (2006). https://doi.org/10.1007/s11424-006-0566-6

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  • DOI: https://doi.org/10.1007/s11424-006-0566-6

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