Theory of variational inequalities with applications to problems of flow through porous media

Fichera, 1964, Mem. Accad. Naz. Lincei, 8, 91

Stampacchia, 1964, C.R. Acad. Sci., Paris, 258, 4413

Lions, 1967, Comm. Pure Appl. Math., XX, 493, 10.1002/cpa.3160200302

Brezis, 1968, Annales de l'Institut Fourier, 18, 115, 10.5802/aif.280

Mosco, 1973, An introduction to the approximate solution of variational inequalities

Glowinski, 1976

Fichera, 1972, Handbuch der Physik, 6-a/2, 391

Duvaut, 1972

Mosco, 1975, Nonlinear Operators and the Calculus of Variations, Lecture Notes of Mathematics, No. 543, 83

Stampacchia, 1968, 101

Lions, 1969

Glowinski, 1976, Introduction to the Approximation of Elliptic Variational Inequalities, Report from Laboratoire Analyse Numerique, 189

Baiocchi, 1972, Annali Mat. Pura ed Appli., 92, 107, 10.1007/BF02417940

Baiocchi, 1973, Annali di Mat. Pura ed Appli., XCVII, 1, 10.1007/BF02414909

Baiocchi, 1973, Calcolo, X, 1, 10.1007/BF02576418

Falk, 1974, Math, of Comp., 28, 963, 10.1090/S0025-5718-1974-0391502-8

Brezzi, 1977, Numerische Mathematik, 28, 431, 10.1007/BF01404345

Oden, 1979

Oden, 1976

Ciarlet, 1977

G. F. CAREY and J. T. ODEN, Finite Elements: A Second Course. Prentice Hall, Englewood Cliffs, New Jersey. To be published.

Lions, 1975, Comput. Mech., 129, 10.1007/BFb0074152

Ekeland, 1974

Vainberg, 1973

Oden, 1978, Existence theory for a class of problems in nonlinear elasticity; Finite plane strain of a compressible hyperelastic body, TICOM Report 78-13

Hartman, 1966, Acta Math., 115, 271, 10.1007/BF02392210

Littman, 1963, Ann. Scuola Norm Sup, Pissa, 17, 45

Lions, 1976

Brezis, 1972, J. de Math. Pures et Appliquées, 51, 1

J. T. ODEN, Qualitative Nonlinear Analysis. Unpublished notes.

N. KIKUCHI, Minimization Methods and Inequalities in Theoretical Mechanics (to appear).

Kikuchi, 1977, Q. Appl. Math., 35, 149, 10.1090/qam/462172

Browder, 1966, 56, 419

Oden, 1979, J. Math. Anal. App., 69, 51, 10.1016/0022-247X(79)90178-1

F. BREZZI and G. SACCHI, A Finite Element Approximation of Variational Inequality Related to Hydraulics (to appear).

Kikuchi, 1977, Int. J. Num. Anal. Meth. Geomech., 1, 283, 10.1002/nag.1610010305

Cryer, 1971, SIAM J. on Control, 9, 385, 10.1137/0309028

Cea, 1973, Sur des Methodes d'Optimisation par Relaxation. Revue Française d'Automatique, Informatique, Recherche Opérationnelle, R-3, 5, 10.1051/m2an/197307R300051

Brezis, 1968, Archive Rat. Mech. Anal., 28, 59, 10.1007/BF00281564

Arrow, 1958

Bear, 1972

Baiocchi, 1973, Sur Quelques Problems a Frontiere Libre, Les Equations Linéaires aux Dérivées Partielles, 70

Baiocchi, 1976, 409

Lions, 1976, 1

Brezis, 1978, C.R. Acad. Sc. Paris, A711

Le Tallec, 1977

Benci, 1974, Annali. Mat. Pura ed Appli., 100, 191, 10.1007/BF02412157

Lions, 1972

Levitin, 1966, U.S.S.R. Comput. Math. Math-Physics, 6, 1, 10.1016/0041-5553(66)90114-5

Bruch, 1978, Water Resources Research, 14, 119, 10.1029/WR014i001p00119

Sloss, 1978, J. Engng. Mech. Div., ASCE, 1405

Bruch, 1979, A Survey of Free Boundary Value Problems in the Theory of Fluid Flow Through Porous Media: Variational Inequality Approach

Ichikawa, 1979, Int. J. Num. Meth. Engng, 14, 1197, 10.1002/nme.1620140807

Kikuchi, 1979, Int. J. Num. Meth. Engng, 14, 1221, 10.1002/nme.1620140808

Comincioli, 1976, Compt. Methods Appl. Mech.-Engng, 7, 153, 10.1016/0045-7825(76)90010-4

Torelli, 1975, C.R. Acad. Sci. Paris, A353

Torelli, 1975, Boll. Un. Mat. Ital., 11, 559

Friedman, 1975, Ann. Scuola Norm. Sup. Pisa, 2, 421

Torelli, 1977, Boll Un. Mat. Ital., 14, 423

Comincioli, 1979, Calcolo, 16, 93, 10.1007/BF02575763

Stampaccia, 1974, Russian Math. Surveys, 29, 89, 10.1070/RM1974v029n04ABEH001290

Caffrey, 1979

Taylor, 1967, Darcy flow solutions with a free surface, 25

Finn, 1967, Finite-element analysis of seepage through dams, 41

Neumann, 1970, Finite element method of analyzing steady seepage with a free surface, Water Resources Research, 889, 10.1029/WR006i003p00889