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Ultraconvergence of ZZ patch recovery at mesh symmetry points

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Summary.

The ultraconvergence property of the Zienkiewicz-Zhu gradient patch recovery technique based on local discrete least-squares fitting is established for a large class of even-order finite elements. The result is valid at all rectangular mesh symmetry points. Different smoothing strategies are discussed and numerical examples are demonstrated.

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Authors and Affiliations

  1. Department of Mathematics, Wayne State University, Detroit, M1, 48202, USA

    Zhimin Zhang & Runchang Lin

Authors
  1. Zhimin Zhang
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  2. Runchang Lin
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Correspondence to Zhimin Zhang.

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Mathematics Subject Classification (2000): 65N30, 65N15, 65N12, 65D10, 74S05, 41A10, 41A25

This research was partially supported by the National Science Foundation grants DMS-0074301, DMS-0079743, and INT-0196139

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Zhang, Z., Lin, R. Ultraconvergence of ZZ patch recovery at mesh symmetry points. Numer. Math. 95, 781–801 (2003). https://doi.org/10.1007/s00211-003-0457-x

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  • DOI: https://doi.org/10.1007/s00211-003-0457-x

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