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η%-Superconvergence of Finite Element Solutions and Error Estimators

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Abstract

This paper is a summary of our study on the superconvergence of the finite element solutions and error estimators. We will persent the analysis of η%-superconvergence for finite element solutions of the Poisson equation in the interior of meshes of triangles with straight edges, as well as the analysis at the boundary. The η%-superconvergence via local averaging will also be presented, and the error estimators are compared in the sense of η%-superconvergence.

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Authors and Affiliations

  1. Department of Aerospace Engineering, Texas A&M University, College Station, TX, 77843, USA

    L. Zhang & T. Strouboulis

  2. Institute of Computational and Applied Mathematics, The University of Texas at Austin, Austin, TX, 78712, USA

    I. Babuška

Authors
  1. L. Zhang
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  2. T. Strouboulis
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  3. I. Babuška
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Zhang, L., Strouboulis, T. & Babuška, I. η%-Superconvergence of Finite Element Solutions and Error Estimators. Advances in Computational Mathematics 15, 393–404 (2001). https://doi.org/10.1023/A:1014267804986

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  • DOI: https://doi.org/10.1023/A:1014267804986

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