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On equilibrium finite elements in three-dimensional case

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Abstract

The space of divergence-free functions with vanishing normal flux on the boundary is approximated by subspaces of finite elements that have the same property. The easiest way of generating basis functions in these subspaces is considered.

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References

  1. V. Girault, P. A. Raviart: Finite Element Approximation of the Navier-Stokes Equations. Springer-Verlag, Berlin, 1979.

    Google Scholar 

  2. I. Hlaváček, M. Křížek: Internal finite element approximations in the dual variational methods for second order elliptic problems with curved boundaries. Apl. Mat. 29 (1984), 52–69.

    Google Scholar 

  3. M. Křížek, P. Neittaanmäki: Internal FE approximation of spaces of divergence-free functions in 3-dimensional domains. Internat. J. Numer. Methods Fluids 6 (1986), 811–817.

    Google Scholar 

  4. M. Křížek, P. Neittaanmäki: Finite Element Approximation of Variational Problems and Applications. Longman Scientific & Technical, Harlow, 1990.

    Google Scholar 

  5. J. C. Nedelec: Eléments finis mixtes incompressibles pour l'equation de Stokes dans ℝ3. Numer. Math. 39 (1982), 97–112.

    Google Scholar 

  6. R. Temam: Navier-Stokes Equations. North-Holland, Amsterdam, 1979.

    Google Scholar 

  7. V. S. Vladimirov: Equations of Mathematical Physics. Marcel Dekker, New York, 1971.

    Google Scholar 

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Korotov, S. On equilibrium finite elements in three-dimensional case. Applications of Mathematics 42, 233–242 (1997). https://doi.org/10.1023/A:1022421722236

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  • DOI: https://doi.org/10.1023/A:1022421722236

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