Article PDF
Avoid common mistakes on your manuscript.
References
Mikhlin, S. G.: Variational methods in mathematical physics. New York: Macmillan 1964.
Engeli, M., Th. Ginsburg, H. Rutishauser, andE. Stiefel: Refined iterative methods for computation of the solution and the eigenvalues of self-adjoint boundary value problems. Mitteilungen aus dem Institut für angewandte Mathematik, Nr. 8, Zürich, 1959
Courant, R.: Variational methods for the solution of problems of equilibrium and vibrations. Bull. Amer. Math. Soc.49, 1–23 (1943).
Clough, R. W., andJ. L. Tocher: Finite element stiffness matrices for analysis of plates in bending. Proc. Conf. Matrix Methods in Struct. Mech., Air Force Inst. of Tech., Wright Patterson A.F. Base, Ohio, 1965.
Zienkiewicz, O. C.: The finite element method in structural and continuum mechanics. New York: McGraw Hill 1967.
Ciarlet, P. G., M. H. Schultz, andR. S. Varga: Numerical methods of highorder accuracy for nonlinear boundary value problems. I. One dimensional problem. Numerische Mathematik9, 394–430 (1967).
Schultz, M. H., andR. S. Varga:L-splines. Numerische Mathematik10, 345–369 (1967).
Birkhoff, G., M. H. Schultz, andR. S. Varga: Piecewise Hermite interpolation in one and two variables with applications to partial differential equations. Numerische Mathematik11, 232–256 (1968).
Goël, J.-J.: Utilisation numérique de la méthode de Ritz, application au calcul de plaque, thèse de doctorat. Ecole polytechnique de l'Université de Lausanne, 1968.
- List of basic functions for numerical utilisation of Ritz's method, application to the problem of the plate. Ecole polytechnique de l'Université de Lausanne, 1968.
Author information
Authors and Affiliations
Additional information
This article is drawn from a thesis presented at the Ecole Polytechnique de l'Université de Lausanne [9]. I want to express my gratitude to Prof. J.Descloux for his suggestions and helpful assistance.
Rights and permissions
About this article
Cite this article
Goël, J.J. Construction of basic functions for numerical utilisation of Ritz's method. Numer. Math. 12, 435–447 (1968). https://doi.org/10.1007/BF02161367
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02161367