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Superconvergence Analysis of Finite Element Method for a Second-Type Variational Inequality

Author

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  • Dongyang Shi
  • Hongbo Guan
  • Xiaofei Guan

Abstract

This paper studies the finite element (FE) approximation to a second-type variational inequality. The supe rclose and superconvergence results are obtained for conforming bilinear FE and nonconforming FE schemes under a reasonable regularity of the exact solution , which seem to be never discovered in the previous literature. The optimal -norm error estimate is also derived for FE. At last, some numerical results are provided to verify the theoretical analysis.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnljam:156095
    DOI: 10.1155/2012/156095
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    Cited by:

    1. 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.

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