×

Convergence of an equilibrium finite element model for plane elastostatics. (English) Zbl 0441.73101


MSC:

74S05 Finite element methods applied to problems in solid mechanics
35J20 Variational methods for second-order elliptic equations
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
74S30 Other numerical methods in solid mechanics (MSC2010)
49S05 Variational principles of physics
PDFBibTeX XMLCite
Full Text: EuDML

References:

[1] J. Haslinger I. Hlaváček: Convergence of a finite element method based on the dual variational formulation. Apl. mat. 21 (1976), 43 - 65.
[2] B. Fraeijs de Veubeke M. Hogge: Dual analysis for heat conduction problems by finite elements. Inter. J. Numer. Meth. Eng. 5 (1972), 65 - 82. · Zbl 0251.65061
[3] V. B. Watwood, Jr. B. J. Hartz: An equilibrium stress field model for finite element solutions of two-dimensional elastostatic problems. Inter. J. Solids and Struct. 4 (1968), 857-873. · Zbl 0164.26201
[4] I. Hlaváček: Variational principles in the linear theory of elasticity for general boundary conditions. Apl. mat. 12 (1967), 425-448. · Zbl 0153.55401
[5] G. Sander: Application of the dual analysis principle. Proc. of IUTAM Symp. on High Speed Computing of Elastic Structures, 167-207, Univ. de Liege, 1971
[6] B. Fraeijs de Veubeke: Finite elements method in aerospace engineering problems. Proc. of Inter. Symp. Computing Methods in Appl. Sci. and Eng., Versailles, 1973, Part 1, 224-258. · Zbl 0283.73029
[7] J. Nečas: Les méthodes directes en théorie des équations elliptiques. Academia, Prague, 1967. · Zbl 1225.35003
[8] C. Johnson B. Mercier: Some equilibrium finite element methods for two-dimensional elasticity problems. Numer. Math. 30, (1978), 103-116. · Zbl 0427.73072
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.