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<p>This paper is to prove one-order superconvergence of both stress and displacement of a conforming symmetric mixed finite element on uniform <i>n</i>-square grids, for the linear elasticity equation in the Hellinger-Reissner variational formulation. Numerical examples on 2D and 3D uniform square grids are computed, verifying the theory.</p>

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On the Superconvergence of a Conforming Mixed Finite Element for Linear Elasticity on Uniform n-Square Grids

  • 期刊论文

  • 发表日期：

    2025年3月1日

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  • Hongying Man,
  • Shangyou Zhang

摘要

This paper is to prove one-order superconvergence of both stress and displacement of a conforming symmetric mixed finite element on uniform n-square grids, for the linear elasticity equation in the Hellinger-Reissner variational formulation. Numerical examples on 2D and 3D uniform square grids are computed, verifying the theory.