On the Existence, Uniqueness and Approximation of Saddle-Point Problems Arising from Lagrangian Multipliers
Publications des séminaires de mathématiques et informatique de Rennes, Journées éléments finis, no. S4 (1974), article no. 1, 26 p. 
@article{PSMIR_1974___S4_A1_0,
     author = {Brezzi, F.},
     title = {On the {Existence,} {Uniqueness} and {Approximation} of {Saddle-Point} {Problems} {Arising} from {Lagrangian} {Multipliers}},
     journal = {Publications des s\'eminaires de math\'ematiques et informatique de Rennes},
     eid = {1},
     pages = {1--26},
     publisher = {D\'epartement de Math\'ematiques et Informatique, Universit\'e de Rennes},
     number = {S4},
     year = {1974},
     language = {en},
     url = {http://archive.numdam.org/item/PSMIR_1974___S4_A1_0/}
}
TY  - JOUR
AU  - Brezzi, F.
TI  - On the Existence, Uniqueness and Approximation of Saddle-Point Problems Arising from Lagrangian Multipliers
JO  - Publications des séminaires de mathématiques et informatique de Rennes
PY  - 1974
SP  - 1
EP  - 26
IS  - S4
PB  - Département de Mathématiques et Informatique, Université de Rennes
UR  - http://archive.numdam.org/item/PSMIR_1974___S4_A1_0/
LA  - en
ID  - PSMIR_1974___S4_A1_0
ER  - 
%0 Journal Article
%A Brezzi, F.
%T On the Existence, Uniqueness and Approximation of Saddle-Point Problems Arising from Lagrangian Multipliers
%J Publications des séminaires de mathématiques et informatique de Rennes
%D 1974
%P 1-26
%N S4
%I Département de Mathématiques et Informatique, Université de Rennes
%U http://archive.numdam.org/item/PSMIR_1974___S4_A1_0/
%G en
%F PSMIR_1974___S4_A1_0
Brezzi, F. On the Existence, Uniqueness and Approximation of Saddle-Point Problems Arising from Lagrangian Multipliers. Publications des séminaires de mathématiques et informatique de Rennes, Journées éléments finis, no. S4 (1974), article  no. 1, 26 p. http://archive.numdam.org/item/PSMIR_1974___S4_A1_0/

[1] J.P. Aubin - "Approximation of elliptic boundary-value problems" Wiley-New York, (1972). | MR | Zbl

[2] J.P. Aubin - "Cours d'optimisation" - Université de Paris IX Dauphine 1973-1974).

[3] J.P. Babuska - "Error bound for the finite element method" - Num. Math. 16, 322-333 (1971) | MR | Zbl

[4] I. Babuska - "The finite element method with Lagrangian multipliers" Num. Math. 20, 179-192 (1973). | MR | Zbl

[5] F. Brezzi - "Sur la méthode des élément finis hybrides pour le problème biharmonique" (submittend to Num. Math.) | Zbl

[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). | MR | Zbl

[7] F. Brezzi - "Sur l'existence, unicité et approximation numérique de problèmes de point de selle" C.R. Acad. Sc. Paris, Serie A, 278 (18 mars 1974), 839-842, (1974) | MR | Zbl

[8] F. Brezzi-L.D. Marini - "On the numerical solution of plate bending problems by hybrid methods" (to appear on "Pubblicazioni del Laboratorio di Analisi Numerical del C.N.R., Pavia. | Numdam | Zbl

[9] P.G. Ciarlet-P.A. Raviart - "General Lagrange and Hermite interpolation in R n with applications to finite element methods" Arch. Rat. Mech. Anal., 46, 177-199 (1972). | MR | Zbl

[10] P.G. Ciarlet-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.(ed. by A.K.AZIZ). Academic Press 1972. | MR | Zbl

[11] M. Crouzeix-P.A. Raviart - "Conforming and Nonconforming Finite Element methods for Solving the Stationary Stokes Equations. I(to appear). | Numdam | MR | Zbl

[12] B. Fraeijs De Veubeke - "Upper and lower bounds in matrix structural analysis" AGARDograph 72, Pergamon, 1964. | Zbl

[13] B. Fraeijs De Veubeke - "Displacements and equilibrium models in the finite element method" - Stress Analysis (ed. by O. C. Zienkiewicz and G.S. Holister) ch.9 - Wiley, 1964. | Zbl

[14] B. Fraeijs 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. Fraeijs De Veubeke - "Variational principles and the patch-test" (to appear on Int. J. Numerical Meth. in Eng.) | MR | Zbl

[16] B. Fraeijs De Veubeke-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-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. | MR | Zbl

[18] C. Johnson -"On the convergence of a Mixed Finite Element Method for Plate Bending Problems"- Num. Math. 21 , 43-62 (1973). | MR | Zbl

[19] C. Johnson -"Convergence of another mixed finite-element method for plate bending problems" - Chalmers Institute of Technology No. 1972-27. | MR | Zbl

[20] F. Kikuci-Y. Ando - "On the convergence of a mixed finite element scheme for plate bending" - Nucl. Eng. and Design., 24, 357-373 (1973) .

[21] Lascaux-P. Sesaint - (to appear), | MR

[22] J.L. Lions-E. Magenes - "Non homogeneous boundary value problems and applications" vol.1, 2 - Grundlehren B. 181,182 - Springer 1971. | Zbl

[23] B. Mercier - "Numerical solution of the biharmonic problem by mixed finite elements of class C 0 " (to appear in Boll. U.M.I.(1974) | MR | Zbl

[24] T.H.H. Pian-P. Tong - "A variational principle and the convergence of a finite-element method based on assumed stresses distribution"- Inst. J. Solid Structures, 5, 463-472 (1969). | Zbl

[25] T.H.H. Pian-P. Tong - "Basis of finite element methods for solid continua" Inz. J. for Numerical Math, in Eng. 1 3-28 (1969). | Zbl

[26] P.A. Raviart - "Méthode des éléments finis" Cours 1972-1973 à  l'Université de Paris VI.

[27] P.A. Raviart-J.M. Thomas - (to appear)

[28] G. Sander - "Application of the dual analysis principle" - Proceedings of IUTAM - Liege Aug. 1970

[29] G. Sander - "Application de la méthode des éléments finis à la flexion des plaques" - Coll. Publ. Fac. Se. Appl. Univ." Liège n.15 (1969).

[30] G. Strang - "Variationalcrimes in the finite element methods" -The Math. Found, of the F.E.M. (ed. by A.K. AZIZ) Academic Press (1972). | MR | Zbl

[31] G. Strang - Fix - "An analysis of the finite elements method" Prentice Hall-New York, 1973. | MR | Zbl

[32] J.M. Thomas (to appear)

[33] K. Yosida - "Functional Analysis" Grundlehren B. 123 - Springer, 1965. | Zbl

[34] O.C. Zienkiewicz - "The finite element methods in engineering science" Mc Graw-Hill (1971). | MR | Zbl