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Nonconforming stabilized combined finite element method for Reissner-Mindlin plate

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Abstract

Based on combination of two variational principles, a nonconforming stabilized finite element method is presented for the Reissner-Mindlin plates. The method is convergent when the finite element space is energy-compatible. Error estimates are derived. In particular, three finite element spaces are applied in the computation. Numerical results show that the method is insensitive to the mesh distortion and has better performence than the MITC4 and DKQ methods. With properly chosen parameters, high accuracy can be obtained at coarse meshes.

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Authors and Affiliations

  1. College of Mathematics, Sichuan University, Chengdu, 610064, P. R. China

    Min-fu Feng  (冯民富)

  2. School of Sciences, Southwest Petroleum University, Nanchong, 637001, Sichuan Province, P. R. China

    Yan Yang  (杨艳)

  3. Institute of Aeronautical Computing Techniques, Xi’an, 710078, P. R. China

    Tian-xiao Zhou  (周天孝)

Authors
  1. Min-fu Feng  (冯民富)
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  2. Yan Yang  (杨艳)
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  3. Tian-xiao Zhou  (周天孝)
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Corresponding author

Correspondence to Min-fu Feng  (冯民富).

Additional information

(Communicated by Yu-qiu LONG)

Project supported by the Key Technologies R&D Program of Sichuan Province of China (No. 05GG006-006-2)

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Feng, Mf., Yang, Y. & Zhou, Tx. Nonconforming stabilized combined finite element method for Reissner-Mindlin plate. Appl. Math. Mech.-Engl. Ed. 30, 197–207 (2009). https://doi.org/10.1007/s10483-009-0207-y

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  • DOI: https://doi.org/10.1007/s10483-009-0207-y

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