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A Posteriori Estimators for the FEM: Analysis of the Robustness of the Estimators for the Poisson Equation

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Abstract

This paper is a summary of our study on estimators for the error in the finite element solution given in [4,5,7,9,10]. We will persent the analysis of estimators 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.

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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. Texas 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. A Posteriori Estimators for the FEM: Analysis of the Robustness of the Estimators for the Poisson Equation. Advances in Computational Mathematics 15, 375–392 (2001). https://doi.org/10.1023/A:1014232321825

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  • DOI: https://doi.org/10.1023/A:1014232321825

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