On the existence, uniqueness and approximation of saddle-point problems arising from lagrangian multipliers
- Volume: 8, Issue: R2, page 129-151
- ISSN: 0764-583X
Access Full Article
topHow to cite
topBrezzi, F.. "On the existence, uniqueness and approximation of saddle-point problems arising from lagrangian multipliers." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 8.R2 (1974): 129-151. <http://eudml.org/doc/193255>.
@article{Brezzi1974,
author = {Brezzi, F.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
language = {eng},
number = {R2},
pages = {129-151},
publisher = {Dunod},
title = {On the existence, uniqueness and approximation of saddle-point problems arising from lagrangian multipliers},
url = {http://eudml.org/doc/193255},
volume = {8},
year = {1974},
}
TY - JOUR
AU - Brezzi, F.
TI - On the existence, uniqueness and approximation of saddle-point problems arising from lagrangian multipliers
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1974
PB - Dunod
VL - 8
IS - R2
SP - 129
EP - 151
LA - eng
UR - http://eudml.org/doc/193255
ER -
References
top- [1] J. P. AUBIN, Approximation of elliptic boundary-value problems, Wiley-New York (1972), Zbl0248.65063MR478662
- [2] J. P. AUBIN, Cours d'optimisation, Université de Paris IX, Dauphine (1973-74).
- [3] I. BABUSKA, Error boundfor the finite element method, Num. Math., 16,322-333, (1971). Zbl0214.42001MR288971
- [4] I. BABUSKA, The finite element method with Lagrangian multipliers, Num. Math.,20, 179-192 (1973). Zbl0258.65108MR359352
- [5] F. BREZZI, Sur la méthode des éléments finis hybrides pour le problème biharmonique (submitted to Num. Math). Zbl0316.65029
- [6] F. BREZZI, Sur une méthode hybride pour l'approximation du problème de la torsion d'une barre élastique (to appear on Ist. Lombardo Accad. Sci Lett. Rend. A). Zbl0351.73081MR378556
- [7] F. BREZZI, Sur l'existence, unicité, et approximation numérique de problèmes de point de selle, C. R. Acad. Sc. Paris, Série A, 278 (18 mars 1974), 839-842, (1974). Zbl0301.65031MR338867
- [8] F. BREZZI and L. D. MARINI, On the numerical solution ofplate bending problems by hybrid methods (to appear on Pubblicazioni del Laboratório di Analisi Numerical del C.N.R., Pavia). Zbl0322.73048
- [9] P. G. CIARLET and P. A. RAVIART, General Lagrange and Hermite interpolation in Rn with applications to finite element methods, Arch. Rat. Mech. Anal., 46.177-199 (1972). Zbl0243.41004MR336957
- [10] P. G. CIARLET and P. A. RAVIART, The combined effect of curved boundaries and numerical integration in isoparametric finite element methods. The Math. Found, of the F. E. M. (éd. by A. K. Aziz), Academic Press 1972. Zbl0262.65070MR421108
- [11] M. CROUZEIX and P. A. RAVIART, Conforming and Nonconforming Finite Element methods for Solving the Stationary Stokes Equations. I RAIRO, V-3, déc. 1973. Zbl0302.65087MR343661
- [12] B. FRAEUS DE VEUBEKE, Upper and lower bounds in matrix structural analysis, AGARDograph 72, Pergamon, 1964.
- [13] B. FRAEUS DE VEUBEKE, Displacements and equilibrium models in the finite element method, Stress Analysis (éd. by O. C. Zienkiewicz and G. S. Holister), chap. p, Wiley, 1964.
- [14] B. FRAEUS DE VEUBEKE, Bending and Stretching of plates, Proc. Conf. Matrix Method in Structural Mech., Air Force Technical Report AFF DL-TR-66-80, Nov. 1966.
- [15] B. FRAEUS DE VEUBEKE, Variational principles and the patch-test (to appear on Int. J. for Numerical Meth. in Eng.). Zbl0284.73043
- [16] B. FRAEUS DE VEUBEKE and O. C. ZIENKIEWICZ, Strain energy bounds in finite element analysis by slab analogy, Journal of Strain Analysis 2, 4, 265-271 (1967).
- [17] B. M. IRONS and A. RAZZAQUE, Experience with patch-test for convergence of finite elements, The Math. Found of the F. E. M. (ed. by A. K. Aziz). Academic Press, 1972. Zbl0279.65087MR423839
- [18] C. JOHNSON, On the convergence of a Mixed Finite Element Method for Plate Bending Problems, Num. Math., 21, 43-62 (1973). Zbl0264.65070MR388807
- [19] C. JOHNSON, Convergence of another mixed finite-element method for plate bending problems, Chalmers Institute of Technology No. 1972-27. Zbl0264.65070
- [20] F. KIKUCI and Y. ANDO, On the convergence of a mixed finite element scheme for plate bending, Nucl. Eng. and Design, 24, 357-373 (1973).
- [21] LASCAUX and P. LESAINT (to appear). MR341902
- [22] J. L. LIONS and E. MAGENES, Non homogeneous boundary value problems and applications, vol. 1, 2, Grundlehren B. 181,182, Springer, 1971. Zbl0227.35001
- [23] B. MERCIER, Numerical solution of the biharmonic problem by mixed finite elements of class C° (to appear in Boll. U.M.I. (1974)). Zbl0332.65058MR378442
- [24] T.H.H. PIAN and P. TONG, variational principle and the convergence of a finite-element method based on assumed stresses distribution, Inst. J. Solid Structures, 5, 463-472 (1969). Zbl0167.52805
- [25] T.H. H. PIAN and P. TONG, Basis of finite element methods for solid continua, Int. J. for Numerical Meth. in Eng. 1, 3-28 (1969). Zbl0252.73052
- [26] P.A. RAVIART, Méthode des éléments finis, Cours 1972-73 à l'Université de ParisVI.
- [27] P. A. RAVIART and J. M. THOMAS, (to appear).
- [28] G. SANDER, Application of the dual analysis principle, Proceedings of IUTAM, Liège, Aug. 1970.
- [29] G. SANDER, Application de la méthode des éléments finis à la flexion des plaques, Coll. Publ. Fac. Sc. Appl. Univ., Liège n. 15 (1969).
- [30] G. STRANG, Variational crimes in the finite element methods, The Math. Found.of the F.E.M. (ed. by A. K. Aziz) Academic Press (1972). Zbl0264.65068MR413554
- [31] G. STRANG and G. Fix, An analysis of the finite éléments rnethod, Prentice Hall- New York, 1973. Zbl0356.65096MR443377
- [32] J. M. THOMAS, (to appear).
- [33] K. YOSIDA, Functional Analysis, Grundlehren B. 123, Springer, 1965 . Zbl0435.46002
- [34] O. C. ZIENKIEWICZ, The finite element methods in engineering science McGraw-Hill (1971). Zbl0237.73071MR315970
Citations in EuDML Documents
top- J.-M. Thomas, Méthode des éléments finis hybrides duaux pour les problèmes elliptiques du second ordre
- J. M. Thomas, Méthode des éléments finis équilibre
- A. Bermudez, J. M. Viaño, Une justification des équations de la thermoélasticité des poutres à section variable par des méthodes asymptotiques
- Jim Jr. Douglas, Richard E. Ewing, Mary Fanett Wheeler, The approximation of the pressure by a mixed method in the simulation of miscible displacement
- Vitoriano Ruas, Méthodes d'éléments finis quasilinéaires en déplacement pour l'étude de milieux incompressibles
- Alain Campbell, Impédance d'une plaque élastique reliée en trois points à un support rigide vibrant
- Ph. Destuynder, Comparaison entre les modèles tridimensionnels et bidimensionnels de plaques en élasticité
- Hervé Vandeven, Compatibilité des espaces discrets pour l'approximation spectrale du problème de Stokes périodique/non périodique
- Jie Shen, A spectral-Tau approximation for the Stokes and Navier-Stokes equations
- C. Canuto, Eigenvalue approximations by mixed methods
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.