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Error estimates for the finite element solution of variational inequalities. Part I. primal theory. (English) Zbl 0369.65030

65N30Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (BVP of PDE)
65K05Mathematical programming (numerical methods)
Full Text: DOI EuDML
[1] Baiocchi, C., Pozzi G.A.: An evolution variational inequality related to a diffusion absorption problem, Appl. Math. Optim. (to appear) · Zbl 0379.49014
[2] Brézis, H.: Problèmes unilateraux. Thése d’etat, Paris, 1971; J. Math. Pures Appl., IX. Sér.72, 1-168 (1971)
[3] Brézis, H.: Nouveaux théorèmes de régularité pour les problèmes unilatéraux. Recontre entre physiciens théoriciens et mathématiciens, Strasbourg 12 (1971)
[4] Brézis, H.: Seuil de régularité pour certains problèmes unilateraux C.R. Acad. Sci. Paris Sér. A273, 35-37 (1971)
[5] Brezzi, F., Sacchi, G.: A finite element approximation of a variational inequality related to hydraulics. To appear · Zbl 0353.76068
[6] Brézis, H. R., Stampacchia, G.: Sur la régularité de la solution d’inéquations elliptiques. Bull. Soc. Math. France96, 153-180 (1968) · Zbl 0165.45601
[7] Ciarlet, P.G.: Numerical analysis of the finite element method. Séminaire de Mathématiques Supérieures, Université de Montréal, 16 June?11 July, 1975 (to appear)
[8] Ciarlet, P. G., Raviart, P.A.: General lagrange and hermite interpolation inR? with applications to finite element methods. Arch. Rational Mech. Anal.46, 177-199 (1972) · Zbl 0243.41004 · doi:10.1007/BF00252458
[9] Falk, R.: Error estimates for the approximation of a class of variational inequalities. Math. Comput.28, 963-971 (1974) · Zbl 0297.65061 · doi:10.1090/S0025-5718-1974-0391502-8
[10] Falk, R. S., Mercier, B.: Error estimates for elastoplastic problems. R.A.I.R.O. Anal. Num.11, 117-134 (1977) · Zbl 0357.73062
[11] Frehse, J.: Two dimensional variational problems with thin obstacles. Math. Z.143, 279-288 (1975) · Zbl 0302.49002 · doi:10.1007/BF01214380
[12] Gagliardo, E.: Proprietà di alcuni classi di funcioni in pui variabili. Ricerche Mat.,7, 102-137 (1958) · Zbl 0089.09401
[13] Giaquinta, M., Modica, G.: Regolarità lipschitziana per le soluzioni di alcuni problemi di minimo con vincolo. Ann. Mat. Pura Appl., IV. Ser. (to appear) · Zbl 0325.49009
[14] Glowinski, R.: Introduction to the approximation of elliptic variational inequalities. Report 76006, University of Paris VI, France, 1976
[15] Glowinski, R., Lions, J. L., Trémolieres, R.: Analyse numérique des inéquations variationelles. Paris: Dunod 1976
[16] Hager, W.W.: State constrained convex control problems: Part II. Approximation. Séminaire IRIA, 1975
[17] Hlavá?ek, I.: Dual finite element analysis for elliptic problems with obstacles on the boundary. I. To appear
[18] Kinderlehrer, D.: How a minimal surface leaves an obstacle. Acta Math.130 221-292 (1973) · Zbl 0268.49050 · doi:10.1007/BF02392266
[19] Lewy, H., Stampacchia, G.: On the regularity of the solution of a variational inequality. Commun. pure appl. Math.22, 153-188 (1969) · Zbl 0167.11501 · doi:10.1002/cpa.3160220203
[20] Lions, J. L.: Problèmes aux limites dans les équations aux dérivées partielles. Montreal, Canada: University of Montreal Press 1965 · Zbl 0143.14003
[21] Lions, J.L.: Équations aux dérivées partielles et calcul des variations. Cours de la Faculté des Sciences de Paris, 1967
[22] Lions, J.L., Magenes, E.: Problèmes aux Limites non Homogènes et Applications, tome I. Paris: Dunod 1968 · Zbl 0165.10801
[23] Lions, J.L., Stampacchia, G.: Variational inequalities. Comm. Pure Appl. Math.20, 493-519 (1967) · Zbl 0152.34601 · doi:10.1002/cpa.3160200302
[24] Mosco, U., Strang, G.: One sided approximation and variational inequalities. Bull. Amer. Math. Soc.80, 308-312 (1974) · Zbl 0278.35026 · doi:10.1090/S0002-9904-1974-13477-4
[25] Scarpini, F., Vivaldi, M. A.: Error estimates for the approximation of some unilateral problems R.A.I.R.O. Anal. Num.11, 197-208 (1977) · Zbl 0358.65087
[26] Strang, G.: Approximation in the finite element method. Numer. Math.19, 81-98 (1972) · Zbl 0221.65174 · doi:10.1007/BF01395933
[27] Strang, G.: The finite element method-linear and nonlinear applications. Proceedings of the International Congress of Mathematicians, Vancouver, Canada, 1974 · Zbl 0285.41009
[28] Strang, G., Berger, A.: The change in solution due to change in domain. Proc. AMS Summer Institute on Partial Differential Equations, Berkeley, 1971 · Zbl 0259.35020
[29] Strang, G., Fix, G.: An analysis of the finite element method. Englewood Cliffs New Jersey: Prentice-Hall 1973 · Zbl 0356.65096