@article{10_21136_AM_1976_103621,
author = {Haslinger, Jaroslav and Hlav\'a\v{c}ek, Ivan},
title = {Convergence of a finite element method based on the dual variational formulation},
journal = {Applications of Mathematics},
pages = {43--65},
year = {1976},
volume = {21},
number = {1},
doi = {10.21136/AM.1976.103621},
mrnumber = {0398126},
zbl = {0326.35020},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1976.103621/}
}
TY - JOUR AU - Haslinger, Jaroslav AU - Hlaváček, Ivan TI - Convergence of a finite element method based on the dual variational formulation JO - Applications of Mathematics PY - 1976 SP - 43 EP - 65 VL - 21 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1976.103621/ DO - 10.21136/AM.1976.103621 LA - en ID - 10_21136_AM_1976_103621 ER -
%0 Journal Article %A Haslinger, Jaroslav %A Hlaváček, Ivan %T Convergence of a finite element method based on the dual variational formulation %J Applications of Mathematics %D 1976 %P 43-65 %V 21 %N 1 %U http://geodesic.mathdoc.fr/articles/10.21136/AM.1976.103621/ %R 10.21136/AM.1976.103621 %G en %F 10_21136_AM_1976_103621
Haslinger, Jaroslav; Hlaváček, Ivan. Convergence of a finite element method based on the dual variational formulation. Applications of Mathematics, Tome 21 (1976) no. 1, pp. 43-65. doi: 10.21136/AM.1976.103621
[1] B. Fraeijs de Veubeke: Displacement and equilibrium models in the finite element method. Stress Analysis, ed. by O.C. Zienkiewicz and G. Holister, J. Wiley, 1965, 145-197.
[2] B. Fraeijs de Veubeke O. C. Zienkiewicz: Strain energy bounds in finite-element analysis by slab analogies. J. Strain Analysis 2, (1967) 265 - 271. | DOI
[3] V. B., Jr. Watwood B. J. Hartz: An equilibrium stress field model for finite element solution of two-dimensional elastostatic problems. Int. J. Solids Structures 4, (1968), 857-873. | DOI
[4] B. Fraeijs de Veubeke M. Hogge: Dual analysis for heat conduction problems by finite elements. Int. J. Numer. Meth. Eng. 5, (1972), 65 - 82. | DOI
[5] J. P. Aubin H. G. Burchard: Some aspects of the method of the hypercircle applied to elliptic variational problems. Numer. sol. Part. Dif. Eqs. II, SYNSPADE (1970), 1 - 67. | MR
[6] J. Vacek: Dual variational principles for an elliptic partial differential equation. Apl. mat. 21 (1976), 5-27. | MR | Zbl
[7] I. Hlaváček: On a conjugate semi-variational method for parabolic equations. Apl. mat. 18 (1973), 434-444. | MR
[8] F. Grenacher: A posteriori error estimates for elliptic partial differential equations. Inst. Fluid Dynamics and Appl. Math., Univ. Maryland, TN-BN-T 43, July 1972.
[9] W. Prager J. L. Synge: Approximations in elasticity based on the concept of function space. Quart. Appl. Math. 5 (1947), 241 - 269. | DOI | MR
[10] J. Nečas: Les méthodes directes en théorie des équations elliptiques. Academia, Prague 1967. | MR
[11] I. Hlaváček: Variational principles in the linear theory of elasticity for general boundary conditions. Apl. mat. 12 (1967), 425-448. | MR
[12] J. Haslinger J. Hlaváček: Convergence of a dual finite element method in $R_n$. CMUC 16 (1975), 469-485. | MR
[13] H. Gajewski: On conjugate evolution equations and a posteriori error estimates. Proceedings of Internal. Summer School on Nonlinear Operators held in Berlin, 1975.
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