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Some superconvergence results in the finite element method

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Mathematical Aspects of Finite Element Methods

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 606))

Abstract

Superconvergence of the gradient of finite element solutions of 2nd order problems is proved at Gaussian points when finite element spaces constructed by means of polynomials of the Serendipity family are used. Another superconvergence is proved for "moments" of the finite element solution of higher order equations at Gaussian points when finite element spaces constructed by means of Hermite bivariate polynomials are applied.

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References

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Author information

Authors and Affiliations

  1. Technical University in Brno, Czechoslovakia

    Milos Zlàmal

Authors
  1. Milos Zlàmal
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Ilio Galligani Enrico Magenes

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© 1977 Springer-Verlag

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Zlàmal, M. (1977). Some superconvergence results in the finite element method. In: Galligani, I., Magenes, E. (eds) Mathematical Aspects of Finite Element Methods. Lecture Notes in Mathematics, vol 606. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064473

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  • DOI: https://doi.org/10.1007/BFb0064473

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08432-7

  • Online ISBN: 978-3-540-37158-8

  • eBook Packages: Springer Book Archive

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