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References (67)
-
F. Brezzi, W. Hager, P. Raviart (1977)
Error estimates for the finite element solution of variational inequalitiesNumerische Mathematik, 28
-
P. G. Ciarlet (1978)
The Finite Element Method for Elliptic Problems -
J. Cea (1971)
Optimisation : théorie et algorithmes -
I. Hlaváček (1980)
‘The density of solenoidal functions and the convergence of a dual finite element method’Apl. Mat., 25
-
I. Babuska, J. Oden, J. Lee (1977)
Mixed-hybrid finite element approximations of second-order elliptic boundary-value problemsComputer Methods in Applied Mechanics and Engineering, 11
-
M. Křížek (1982)
An equilibrium finite element method in three-dimensional elasticityApplications of Mathematics, 27
-
G. Zoutendijk (1966)
‘Nonlinear programming’SIAM J. Control, 4
-
M. Křižek (1982)
‘An equilibrium finite element method in three-dimensional elasticity’Apl. Mat., 27
-
I. Hlavácek, J. Necas (1970)
On inequalities of Korn's type: I. Boundary-value problems for elliptic systems of partial differential equationsArchive for Rational Mechanics and Analysis, 36
-
J. Nečas, I. Hlaváček (1981)
Mathematical Theory of Elastic and Elasto-Plastic Bodies -
I. Hlaváček (1980)
‘Convergence of dual finite element approximations for unilateral boundary value problems’Apl. Mat., 25
-
G. Duvaut, J. Lions (1973)
Les inéquations en mécanique et en physiqueMathematics of Computation, 27
-
I. Hlavácek, J. Lovísek (1980)
Finite element analysis of the Signorini problem in semi-coercive cases, 25
-
I. Hlaváček, J. Lovišek (1977)
‘A finite element analysis for the Signorini problem in plane elastostatics’Apl. Mat., 22
-
I. Hlaváček (1973)
‘On a conjugate semi-variational finite element method for parabolic equations’Apl. Mat., 18
-
I. Hlavácek (1973)
On a conjugate semi-variational method for parabolic equations, 15
-
J. Haslinger, I. Hlavácek (1976)
Convergence of a finite element method based on the dual variational formulationApplications of Mathematics, 21
-
G. Fichera (1973)
Boundary Value Problems of Elasticity with Unilateral Constraints -
J. Vacek (1976)
Dual variational principles for an elliptic partial differential equationApplications of Mathematics, 21
-
I. Hlavácek (1980)
Convergence of dual finite element approximations for unilateral boundary value problemsApplications of Mathematics, 25
-
P. Grisvard, G. Looss (1976)
Problèmes aux limites unilatéraux dans des domaines non réguliers -
B. Pshenichnyi, I. Danilin, Zhitomirsky (1978)
Numerical Methods in Extremal Problems. -
A. Ponter (1972)
The application of dual minimum theorems to the finite element solution of potential problems with special reference to seepageInternational Journal for Numerical Methods in Engineering, 4
-
J. Vacek (1976)
‘Dual variational principles for an elliptic partial differential equation’Apl. Mat., 21
-
A. R. S. Ponter (1972)
‘The application of dual minimum theorems to the finite element solution of potential problems with special reference to seepage’Intern. J. Numer. Meth. Engng, 4
-
B. Fraeijs de Veubeke (1965)
Stress Analysis -
R. Glowinski, J. L. Lions, R. Trémolières (1976)
Analyse numérique des inéquations variationneles -
I. Hlavácek (1980)
The density of solenoidal functions and the convergence of a dual finite element methodApplications of Mathematics, 25
-
I. Hlaváček (1974)
‘On a conjugate finite element method for parabolic equations’Acta Univ. Carolinae, 15
-
M. Křížek (1983)
Conforming equilibrium finite element methods for some elliptic plane problems, 17
-
J. Haslinger, I. Hlavaček (1976)
‘Convergence of a finite element method based on the dual variational formulation’Apl. Mat., 21
-
Tong Pin, T. Pian (1969)
A variational principle and the convergence of a finite-element method based on assumed stress distributionInternational Journal of Solids and Structures, 5
-
T. Bratanow (1981)
Finite element approximations of the Navier-Stokes equationsApplied Mathematical Modelling, 5
-
D. Kelly (1980)
Bounds on discretization error by special reduced integration of the lagrange family of finite elementsInternational Journal for Numerical Methods in Engineering, 15
-
R. Glowinski, E. Rodin, O. Zienkiewcz, T. Pian (1980)
Energy methods in finite element analysisJournal of Applied Mechanics, 47
-
I. Hlaváček (1977)
‘Dual finite element analysis for elliptic problems with obstacles on the boundary’Apl. Mat., 22
-
I. Ekeland, R. Temam (1974)
Analyse convexe et problèmes variationnels -
I. Hlavácek (1977)
Dual finite element analysis for some unilateral boundary value problemsApplications of Mathematics, 22
-
J. Haslinger, I. Hlavácek (1982)
Contact between elastic perfectly plastic bodies, 27
-
G. Zoutendijk (1966)
Nonlinear Programming: A Numerical SurveySiam Journal on Control, 4
-
I. Hlaváček (1977)
‘Dual finite element analysis for unilateral boundary value problems’Apl. Mat., 22
-
M. Zlámal (1973)
Curved Elements in the Finite Element Method. ISIAM Journal on Numerical Analysis, 10
-
G. Fichera (1972)
Encyclopaedia of Physics -
K. Washizu (1982)
Variational Methods in Elasticity and Plasticity -
Claes Johnson, B. Mercier (1978)
Some equilibrium finite element methods for two-dimensional elasticity problemsNumerische Mathematik, 30
-
I. Hlavácek, J. Necas (1970)
On inequalities of Korn's typeArchive for Rational Mechanics and Analysis, 36
-
R. Courant, D. Hilbert
Methoden der mathematischen Physik -
H. Gajewski (1977)
‘On conjugate evolution equations and a posteriori error estimates’Abhandl. Akad. Wiss. DDR, 1
-
I. Hlavácek (1979)
Convergence of an equilibrium finite element model for plane elastostatics, 24
-
J. P. Aubin, H. Burchard (1971)
SYNSPADE -
I. Hlavácek (1980)
A finite element solution for plasticity with strain-hardening, 14
-
I. Hlavácek (1977)
Dual finite element analysis for elliptic problems with obstacles on the boundary. IApplications of Mathematics, 22
-
B. Veubeke, M. Hugge (1972)
Dual analysis for heat conduction problems by finite elementsInternational Journal for Numerical Methods in Engineering, 5
-
J. Aubin, H. Burchard (1969)
SOME ASPECTS OF THE METHOD OF THE HYPERCIRCLE APPLIED TO ELLIPTIC VARIATIONAL PROBLEMS. -
J. Haslinger, I. Hlaváček (1980)
‘Contact between elastic bodies. I. Continuous problems, II. Finite element analysis. III. Dual finite element analysis’Apl. Mat., 25
-
U. Mosco, G. Strang (1974)
One-sided approximation and variational inequalitiesBulletin of the American Mathematical Society, 80
-
J. P. Aubin (1972)
Approximations of Elliptic Boundary-Value Problems -
J. Nečas (1967)
Les méthodes directes en théorie des équations elliptiques -
R. Falk (1974)
Error estimates for the approximation of a class of variational inequalitiesMathematics of Computation, 28
-
V. Watwood, B. Hartz (1968)
An equilibrium stress field model for finite element solutions of two-dimensional elastostatic problemsInternational Journal of Solids and Structures, 4
-
J.M.C. Thomas (1976)
Méthode des éléments finis hybrides duaux pour les problèmes elliptiques du second ordre, 10
-
I. Hlaváček (1978)
‘Dual finite element analysis for semi-coercive unilateral boundary value problems’Apl. Mat., 23
-
J. Nečas (1975)
‘On regularity of solutions to nonlinear variational inequalities for 2nd order elliptic systems’Rend. di Matem., 2
-
J. Necas, I. Hlavácek (1981)
Mathematical Theory of Elastic and Elasto Plastic Bodies: An Introduction -
J. Haslinger, I. Hlaváček (1975)
‘Convergence of a dual finite element method in Rn’Comment. Math. Univ. Carolinae, 16
-
P. Raviart, J. Thomas (1977)
A mixed finite element method for 2-nd order elliptic problems -
I. Hlavácek, J. Lovísek (1977)
A finite element analysis for the Signorini problem in plane elastostaticsApplications of Mathematics, 22
- Publisher
- Springer Journals
- Copyright
- Copyright
- Subject
- Mathematics; Computational Mathematics and Numerical Analysis; Applications of Mathematics; Partial Differential Equations; Probability Theory and Stochastic Processes; Calculus of Variations and Optimal Control; Optimization
- ISSN
- 0167-8019
- eISSN
- 1572-9036
- DOI
- 10.1007/BF00046832
- Publisher site
- See Article on Publisher Site
Abstract
In some boundary-value problems the gradient or the cogradient of the solution is more important than the solution itself. Dual variational formulation of elliptic problems is utilized to define finiteelement approximations of the cogradient. A priori error estimates are presented for a class of second-order elliptic problems, including problems of elastostatics.
Journal
Acta Applicandae Mathematicae – Springer Journals
Published: May 1, 2004