Une méthode d'éléments finis mixte pour les équations de Von Kármán
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 14 (1980) no. 2, p. 149-173
@article{M2AN_1980__14_2_149_0,
     author = {Kesavan, S.},
     title = {Une m\'ethode d'\'el\'ements finis mixte pour les \'equations de Von K\'arm\'an},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     publisher = {Dunod},
     volume = {14},
     number = {2},
     year = {1980},
     pages = {149-173},
     zbl = {0451.73053},
     mrnumber = {571312},
     language = {fr},
     url = {http://www.numdam.org/item/M2AN_1980__14_2_149_0}
}
Kesavan, S. Une méthode d'éléments finis mixte pour les équations de Von Kármán. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 14 (1980) no. 2, pp. 149-173. http://www.numdam.org/item/M2AN_1980__14_2_149_0/

1. L Bauer et E Reiss, Non Linear Buckling of Rectangular PlatesBuckhng of Rectangular Plates, SIAM, Num Anal, vol 13, 1965, p 603-627.

2. F Brezzi, On the Existence, Uniqueness and Approximation of Saddle-PointProblems Arising from Lagrangian Multipliers, RAIRO , Analyse numérique,of R-2, 1974, p 129-151. | Numdam | MR 365287 | Zbl 0338.90047

3. F. Brezzi et P. A. Raviart, Mixed Finite Element Methods for Fourth Order EllipticEquations, Rapport Interne, n° 9, École Polytechnique, Palaiseau, 1976.

4. C. Canuto, Eigenvalue Approximations by Mixed Methods, R.A.I.R.O., Analyse numérique, vol. 12, 1978, p. 27-50. | Numdam | MR 488712 | Zbl 0434.65032

5. P. G. Ciarlet, TheFinite Element Method for Elliptic Problems, North-Holland, Amsterdam, 1978. | MR 520174 | Zbl 0383.65058

6. P. G. Ciarlet, Derivation of the von Karman Equations from Three-Dimensional Elasticity, Proceedings of the Fourth Conference on Basic Problems in Numerical Analysis, Plzen, 1978 (à paraître). | MR 566153 | Zbl 0445.73043

7. P. G. Ciarlet et P. A. Raviart, A Mixed Finite Element Method for the Biharmonic Equation in Mathematical Aspects of 'Finite Eléments in Partial Differentiat Equations, C. DE BOOR, éd. 1974, p. 125-145. | MR 657977 | Zbl 0337.65058

8. S. Kesavan, Homogenization of Elliptic Eigenvalue Problems, Applied Mathematicsand Optimizalion. vol. 5, n° 2, 1979, p. 153-167. | MR 533617 | Zbl 0415.35061

9. S. Kesavan, La méthode de Kikuchi appliquée aux équations de von Karman, Numerische Mathematik, vol.32, 1979, p. 209-232. | MR 529910 | Zbl 0395.73054

10. S. Kesavan et M. Vanninathan, Sur une méthode d'éléments finis mixte pour l'équation biharmonique, R.A.I.R.O., Analyse numérique, vol. 11, n° 3, 1977, p. 255-270. | Numdam | MR 451777 | Zbl 0372.65039

11. F. Kikuchi, An Iterative Finite Element Scheme for Bifurcation Analysis of Semi-Linear Elliptic Equations, Report n° 542, Institute of space and Aeronautical Science,Univ. of Tokyo, Japan, 1976.

12. V. A. Kondrat'Ev, Boundary Value Problems for Elliptic Equations in Domains with Conical or Angular Points, Trudy Moskov. Mat.Obsc, vol. 16, 1967, p. 209-292. | MR 226187 | Zbl 0162.16301

13. B. Mercier et J. Rappaz, Eigenvalue Approximation via Non-Conforming and Hybrid Finite Element Methods, Rapport Interne, n° 33, École Polytechnique, Palaiseau, 1978.

14. T. Miyoshi, Finite Element Method for the Solution of Fourth Order Partial Differential Equations, Kumamoto J. Se. (Math.), vol.9, 1973, p. 87-116. | MR 386298 | Zbl 0249.35007

15. R. Rannacher, Non Conforming Finite Element Methods for Eigenvalue Problems in Linear Plate Theory, Preprint, n° 191, Univ. of Bonn, W. Germany, 1978. | Zbl 0394.65035

16. R. Rannacher, On Non-Conforming and Mixed Finite Element Methods for Plate Bending Problems, Thelinear case, R.A.I.R.O., Analyse numérique (à paraître). | Numdam | Zbl 0425.35042

17. R. Scholz, Approximation von Sattelpunkten mit Finiten Elementen, Bonner Math.Schrifter, vol. 89, 1976, p. 53-66. | MR 471377 | Zbl 0359.65096

18. G. Strang et G. J. Fix, An Analysis of the Finite Element Method, Prentice-Hall, Inc. Englewood Cliffs, 1973. | MR 443377 | Zbl 0356.65096