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Superconvergence of a New Nonconforming Mixed Finite Element Scheme for Elliptic Problem

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  • Lifang Pei
  • Dongyang Shi

Abstract

A new nonconforming mixed finite element scheme for the second-order elliptic problem is proposed based on a new mixed variational form. It has the lowest degrees of freedom on rectangular meshes. The superclose property is proven by employing integral identity technique. Then global superconvergence result is derived through interpolation postprocessing operators. At last, some numerical experiments are carried out to verify the theoretical analysis.

Suggested Citation

  • Lifang Pei & Dongyang Shi, 2013. "Superconvergence of a New Nonconforming Mixed Finite Element Scheme for Elliptic Problem," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-9, July.
    • Handle: RePEc:hin:jnlmpe:829820
    DOI: 10.1155/2013/829820
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    Cited by:

    1. Shi, Dongyang & Zhang, Sihui, 2024. "Unconditional superconvergence analysis of an energy-stable L1 scheme for coupled nonlinear time-fractional prey-predator equations with nonconforming finite element," Applied Mathematics and Computation, Elsevier, vol. 467(C).

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