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High accuracy analysis of two nonconforming plate elements

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Abstract

We prove the superconvergence of Morley element and the incomplete biquadratic nonconforming element for the plate bending problem. Under uniform rectangular meshes, we obtain a superconvergence property at the symmetric points of the elements and a global superconvergent result by a proper postprocessing method.

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Authors and Affiliations

  1. LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Science, Chinese Academy of Sciences, P.O. Box 2719, 100190, Beijing, People’s Republic of China

    Shipeng Mao & Zhong-ci Shi

Authors
  1. Shipeng Mao
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  2. Zhong-ci Shi
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Correspondence to Shipeng Mao.

Additional information

The research is supported by the Special Funds For Major State Basic Research Project (No. 2005CB321701).

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Mao, S., Shi, Zc. High accuracy analysis of two nonconforming plate elements. Numer. Math. 111, 407–443 (2009). https://doi.org/10.1007/s00211-008-0190-6

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  • DOI: https://doi.org/10.1007/s00211-008-0190-6

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