References
Cartan, Henri: Calcul Différentiel. Paris: Hermann 1967.
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).
Coatmélec, Christian: Approximation et interpolation des fonctions différentiables de plusieurs variables. Ann. Sci. Ecole Norm. Sup. (3)83, 271–341 (1966).
Courant, R.: Variational methods for the solution of problems of equilibrium and vibrations. Bull. Amer. Math. Soc.49, 1–23 (1943).
Dieudonné, J.: Foundations of modern analysis. New York: Academic Press Inc. 1960.
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).
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.
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.
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)
Tong, Pin, Pian, T. H. H.: The convergence of finite element method in solving linear elastic problems. Int. J. Solids Structures3, 865–879 (1967).
Wallace, Andrew H.: An introduction to algebraic topology. Oxford: Pergamon Press 1957.
Zienkiewicz, O. C.: The finite element method in structural and continuum mechanics. London: McGraw-Hill Publishing Co. Ltd. 1967.
Zlámal, Miloš.: On the finite element method. Numer. Math.12, 394–409 (1968).
—: On some finite element procedures for solving second order boundary value problems. Numer. Math.14, 42–48 (1969).
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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
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DOI: https://doi.org/10.1007/BF01395869