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New High Accuracy Analysis of a Double Set Parameter Nonconforming Element for the Clamped Kirchhoff Plate Unilaterally Constrained by an Elastic Obstacle

Author

Listed:
  • Dongyang Shi

    (School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China)

  • Lifang Pei

    (School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China)

Abstract

In this paper, a non- C 0 double set parameter finite element method is presented for the clamped Kirchhoff plate with an elastic unilateral obstacle. A new high accuracy error estimate with order O ( h 2 ) in the broken energy norm is derived by use of a series of novel approaches, including some special features of the element and an incomplete biquadratic interpolation operator. At the same time, some experimental results are provided to verify the theoretical analysis.

Suggested Citation

  • Dongyang Shi & Lifang Pei, 2020. "New High Accuracy Analysis of a Double Set Parameter Nonconforming Element for the Clamped Kirchhoff Plate Unilaterally Constrained by an Elastic Obstacle," Mathematics, MDPI, vol. 8(11), pages 1-13, November.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:11:p:2038-:d:445577
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    References listed on IDEAS

    as
    1. Xu, Chao & Shi, Dongyang, 2019. "Superconvergence analysis of low order nonconforming finite element methods for variational inequality problem with displacement obstacle," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 1-11.
    2. Dongyang Shi & Hongbo Guan & Xiaofei Guan, 2012. "Superconvergence Analysis of Finite Element Method for a Second-Type Variational Inequality," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-12, November.
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