Finite element approximations of the von Kármán equations
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 12 (1978) no. 4, p. 303-312
@article{M2AN_1978__12_4_303_0,
     author = {Brezzi, F.},
     title = {Finite element approximations of the von K\'arm\'an equations},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     publisher = {Dunod},
     volume = {12},
     number = {4},
     year = {1978},
     pages = {303-312},
     zbl = {0398.73070},
     mrnumber = {519014},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_1978__12_4_303_0}
}
Brezzi, F. Finite element approximations of the von Kármán equations. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 12 (1978) no. 4, pp. 303-312. http://www.numdam.org/item/M2AN_1978__12_4_303_0/

1. T. Von Karman, Festigkeitsprobleme in Maschinbau, Encycl. der Math. Wissenschaften, vol. 4, 1910, pp. 348-352.

2. M. S. Berger, On von Kármán Equations and the Buckling of a thin Elastic Plate, Comm. Pure Appl. Math., vol. 20, 1967, pp. 687-718. | MR 221808 | Zbl 0162.56405

3. T. Miyoshi, A Mixed Finite Element Method for the Solution of the von Kármán Equations, Num. Math., vol. 26, 1976, pp. 255-269. | MR 438741 | Zbl 0315.65064

4. A. Gobetti and L. D. Marini, to appear.

5. H. B. Keller, Approximation Methods for Nonlinear Problems with Applications to two-Point Boundary Value Problems, Math. Comp., vol. 29, 1975, pp. 464-474. | MR 371058 | Zbl 0308.65039

6. J. Ne_As, Les Méthodes directes en théorie des équations elliptiques, Masson, Paris, 1967.

7. I. Babuska, Error Bound for the Finite Element Method, Num. Math., vol. 16, 1971, pp. 322-333. | MR 288971 | Zbl 0214.42001

8. P. G. Ciarlet and P. A. Raviart, General Lagrange and Hermite interpolation in R n with applications to finite element methods, Arch. Rat. Mech. Anal., vol. 46, 1972, pp. 177-199. | MR 336957 | Zbl 0243.41004

9. G. Strang and G. Fix, An Analysis of the Finite Element Method, Prentice Hall, Englewood Cliffs, 1973. | MR 443377 | Zbl 0356.65096

10. P. G. Ciarlet, The Finite Element Method for Elliptic Problems, North Holland, Amsterdam, 1977. | MR 520174 | Zbl 0383.65058

11. S. G. Mikhlin, The Numerical Performance of Variational Methods, Wolters Noordholf, Groningen, 1971. | MR 278506 | Zbl 0209.18301

12. A. L. Schatz, An Observation Concerning Ritz-Galerkin Methods with Indefinite Bilinear Forms, Math, of Comp., vol. 28, 1974, pp. 959-962. | MR 373326 | Zbl 0321.65059

13. D. J. Allman, Some Fundamental Aspects of the Finite Element Analysis of Nonlinear Elastic Plate Bending, Finite Elements in Nonlinear Solid and Structural Mechanics, Geilo (Norway), August 29-Sept 1, 1977, pp. C. 06. | Zbl 0424.73069

14. J. L. Lions and E. Magenes, Problèmes aux limites non homogènes et applications, vol.1, Dunod, Paris, 1968. | MR 247243 | Zbl 0165.10801