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An Algorithm for Graphical Computer Results in Shells

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Shell and Spatial Structures: Computational Aspects

Part of the book series: Lecture Notes in Engineering ((LNENG,volume 26))

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Summary

A Finite Element technique to interpolate general data (function values and its derivatives) has been developped. The technique can be considered as a generalized solution of the classical polynomial interpolation, because the condition for the interpolating function to be a polynomial is replaced by a minimizing condition of a given “smoothing” functional. In this way it is possible to find interpolating functions with a given level of continuity according to the class of finite elements used. Examples have been presented in order to assess the accuracy and efficiency of the procedure.

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References

  1. G. Dahlquist and A. Bjorck, Numerical Methods. Prentice Hall, (1974).

    Google Scholar 

  2. T.R.F. Nonweiler, “Computational Methematics”, Ellis Horword Ltd. John Wiley and Sons, (1984).

    Google Scholar 

  3. O.C. Zienckiewicz and K. Morgan, Finite Elements and Approximation. John Wiley and Sons, (1983).

    Google Scholar 

  4. M.S. Caceli and W.P. Cachesis, “Fitting curves to Data”, Byte, (1964).

    Google Scholar 

  5. R.L. Harder and R.N. Desmarais, “Interpolation Using Surface Splines”, Journal of Aircraft, Feb. (1972).

    Google Scholar 

  6. J.W. Jerome and L.L. Schumaker, “On Lg-Splines”, Journal of Approximation Theory 2, (1969).

    Google Scholar 

  7. R. Holmes, “R-Splines in Banach Spaces: Interpolation of Linear Manifolds”, Journal of Mathematical Analysis and Applications 40, (1972).

    Google Scholar 

  8. J. Duchon “Sur 1 erreur d’nterpolation des functions de plusieurs variables par les Dm-splines”, R.A.I.R.O., Numerical Analysis Vol. 12, n.4 (1978).

    Google Scholar 

  9. M. Gasca and J.I. Maeztu, “On Lagrange and Hermite Interpolation in Rk”. Numerische Mathematik 39,1–14 (1982).

    Article  MathSciNet  MATH  Google Scholar 

  10. A. Samartín, “Desarrollo de familias jerárquicas de elementos finitos de clase C ”, VI. C.E.D.Y.A. Congreso de ecuaciones diferenciales y aplicaciones”, Jaca (Huesca), 26–30. Sept. (1983).

    Google Scholar 

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© 1987 Springer-Verlag Berlin, Heidelberg

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Samartín, A., Cardona, J. (1987). An Algorithm for Graphical Computer Results in Shells. In: De Roeck, G., Quiroga, A.S., Van Laethem, M., Backx, E. (eds) Shell and Spatial Structures: Computational Aspects. Lecture Notes in Engineering, vol 26. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83015-0_37

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  • DOI: https://doi.org/10.1007/978-3-642-83015-0_37

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17498-1

  • Online ISBN: 978-3-642-83015-0

  • eBook Packages: Springer Book Archive

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