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Superconvergence for rectangular serendipity finite elements

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Abstract

Based on an orthogonal expansion and orthogonality correction in an element, superconvergence at symmetric points for any degree rectangular serendipity finite element approximation to second order elliptic problem is proved, and its behaviour up to the boundary is also discussed.

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Authors and Affiliations

  1. Institute of Computation, Hunan Normal University, 410081, Changsha, China

    Chuanmiao Chen

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  1. Chuanmiao Chen
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Chen, C. Superconvergence for rectangular serendipity finite elements. Sci. China Ser. A-Math. 46, 1–10 (2003). https://doi.org/10.1360/03ys9001

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  • DOI: https://doi.org/10.1360/03ys9001

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