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A convergence condition for the quadrilateral Wilson element

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Summary

The paper deals with the convergence properties of the nonconforming quadrilateral wilson element which violates the patch test. The convergence of the element is proved under a certain condition on mesh subdivisions without any modifications of the variational formulation. This result extends the range of applicability of Wilson's element. The necessity of the proposed condition is also discussed.

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Author notes

  1. Zhong-ci Shi

    Present address: Department of Mathematics, China University of Science and Technology, Hefei, People's Republic of China

Authors and Affiliations

  1. Fachbereich Mathematik, Johann Wolfgang Goethe-Universität, Robert-Mayer-Straße 6-10, D-6000, Frankfurt a.M. (Fed. Rep.)

    Zhong-ci Shi

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  1. Zhong-ci Shi
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Additional information

This work was written while the author was visiting the University of Frankfurt, Federal Republic of Germany, on a grant by the Alexander von Humboldt Foundation

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Shi, Zc. A convergence condition for the quadrilateral Wilson element. Numer. Math. 44, 349–361 (1984). https://doi.org/10.1007/BF01405567

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  • DOI: https://doi.org/10.1007/BF01405567

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