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

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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 EQrot FE schemes under a reasonable regularity of the exact solution u ∈ H5/2(Ω), which seem to be never discovered in the previous literature. The optimal L2‐norm error estimate is also derived for EQrot 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, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:156095
    DOI: 10.1155/2012/156095
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