Skip to main content
Log in

Multipoint Taylor formulas and applications to the finite element method

  • Published:
Numerische Mathematik Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Cartan, Henri: Calcul Différentiel. Paris: Hermann 1967.

    Google Scholar 

  2. Ciarlet, P. G., Schultz, M. H., Varga, R. S.: Numerical methods of high order accuracy for nonlinear boundary value problems. V. Monotone operator theory. Numer. Math.13, 51–77 (1969).

    Google Scholar 

  3. Coatmélec, Christian: Approximation et interpolation des fonctions différentiables de plusieurs variables. Ann. Sci. Ecole Norm. Sup. (3)83, 271–341 (1966).

    Google Scholar 

  4. Courant, R.: Variational methods for the solution of problems of equilibrium and vibrations. Bull. Amer. Math. Soc.49, 1–23 (1943).

    Google Scholar 

  5. Dieudonné, J.: Foundations of modern analysis. New York: Academic Press Inc. 1960.

    Google Scholar 

  6. Di Guglielmo, Francis: Construction d'approximations des espaces de SobolevH m(R n),m entier positif, sur des réseaux en simplexes. C. R. Acad. Sc. Paris268, 314–317 (1969).

    Google Scholar 

  7. Fraeijs de Veubeke, B.: Displacement and equilibrium models in the finite element method. Stress analysis, chapter 9 (O. C. Zienkiewicz and G. S. Holister editors). London: J. Wiley 1965.

    Google Scholar 

  8. Friedrichs, K. O., Keller, H. B.: A finite difference scheme for generalized Neumann problems. Numerical solution of partial differential equations (Proceedings of a Symposium held at the University of Maryland, May 3–8, 1965, J. H. Bramble, editor), pp. 1–19. New York: Academic Press 1966.

    Google Scholar 

  9. Oganesjan, L. A.: Convergence of difference schemes in case of improved approximation of the boundary. Ž. Vyčisl. Mat. i Mat. Fiz.6, 1029–1042 (1966)

    Google Scholar 

  10. Tong, Pin, Pian, T. H. H.: The convergence of finite element method in solving linear elastic problems. Int. J. Solids Structures3, 865–879 (1967).

    Google Scholar 

  11. Wallace, Andrew H.: An introduction to algebraic topology. Oxford: Pergamon Press 1957.

    Google Scholar 

  12. Zienkiewicz, O. C.: The finite element method in structural and continuum mechanics. London: McGraw-Hill Publishing Co. Ltd. 1967.

    Google Scholar 

  13. Zlámal, Miloš.: On the finite element method. Numer. Math.12, 394–409 (1968).

    Google Scholar 

  14. —: On some finite element procedures for solving second order boundary value problems. Numer. Math.14, 42–48 (1969).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ciarlet, P.G., Wagschal, C. Multipoint Taylor formulas and applications to the finite element method. Numer. Math. 17, 84–100 (1971). https://doi.org/10.1007/BF01395869

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01395869

Keywords

Navigation