Quarteroni, A. Hybrid finite element methods for the von Kármán equations. (English) Zbl 0443.73035 Calcolo 16, 271-288 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 10 Documents MSC: 74K20 Plates 74S05 Finite element methods applied to problems in solid mechanics 65N15 Error bounds for boundary value problems involving PDEs 35Q99 Partial differential equations of mathematical physics and other areas of application 74B20 Nonlinear elasticity 74B10 Linear elasticity with initial stresses Keywords:assumed stress hybrid approximation of von Kármán equations; iterative Newton scheme PDFBibTeX XMLCite \textit{A. Quarteroni}, Calcolo 16, 271--288 (1979; Zbl 0443.73035) Full Text: DOI References: [1] D. Allman,Some fundamental aspects of the Finite Element Analysis of Nonlinear Elastic plate Bending, International Conference on Finite Elements in Nonlinear Solid and Structural Mechanics. Geilo, Norway (1977), Vol. 1, C 06 [2] M. S. Berger, P. C. Fife,Von Karman’s Equations and the Buckling of a Thin Elastic Plate, II. Comm. Pure Appl. Math.21 (1968), 227–241. · Zbl 0162.56501 [3] F. Brezzi,Hybrid Methods for Fourth Order Elliptic Equations, Congress on Mathematical Aspects of Finite Element Methods, Lecture Notes in Mathematics606 (1977), 35–46. [4] F. Brezzi,Finite Element Approximations of the Von Karman Equations, R.A.I.R.O., An. Num., vol. 12, n. 4 (1978), 303–312. · Zbl 0398.73070 [5] F. Brezzi, L. D. Marini,On the Numerical Solution of Plate Bending Problems by Hybrid Methods, R.A.I.R.O., R 3 (1975), 5–50. · Zbl 0322.73048 [6] P. G. Ciarlet,The Finite Element Method for Elliptic Problems (1978), North-Holland, Amsterdam. · Zbl 0383.65058 [7] J. L. Lions,Quelques Méthodes de Résolution des Problèmes aux Limites non Linéaires (1969), Dunod: Paris. [8] J. L. Lions, E. Magenes,Non Homogeneus Boundary Value Problems and Applications, I, II, (1970) Grund. B. 181–182, Springer Berlin. [9] T. Miyoshi,A Mixed Finite Element Method for the Solution of the Von Karman Equations, Numer. Math.26 (1976), 255–269. · Zbl 0315.65064 [10] A. Quarteroni,Error Estimates for the Assumed Stresses Hybrid Methods in the Approximation of 4th Order Elliptic Equations, to appear on R.A.I.R.O., An. Num., vol. 13, n. 4 (1979). · Zbl 0447.65066 [11] D. H. Sattinger,Topics in Stability and Bifurcation Theory. Lecture Notes in Mathematics309, (1973), Springer Verlag, Berlin. · Zbl 0248.35003 [12] T. Von Karman,Fastigkeitsproblem in Maschinbau, Encycl. der Math. Wissenschaften,4, (1910), 348–352. [13] K. Washizu,Variational Methods in Elasticity and Plasticity (1975), Pergamon Press. · Zbl 0339.73035 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.