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One-sided approximation and variational inequalities. (English) Zbl 0278.35026


MSC:

35J20 Variational methods for second-order elliptic equations
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
41A15 Spline approximation
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References:

[1] Jean Pierre Aubin, Approximation of variational inequations, Functional Analysis and Optimization, Academic Press, New York, 1966, pp. 7 – 14.
[2] Richard S. Falk, Error estimates for the approximation of a class of variational inequalities, Math. Comput. 28 (1974), 963 – 971. · Zbl 0297.65061
[3] G. Fichera, Boundary value problems of elasticity with unilateral constraints, Handbuch der Physik, Bd. VI a/2, Springer-Verlag, Berlin, 1972.
[4] J.-L. Lions and G. Stampacchia, Variational inequalities, Comm. Pure Appl. Math. 20 (1967), 493 – 519. · Zbl 0152.34601
[5] U. Mosco and F. Scarpini, Complementarity systems and approximation of variational inequalities, Rev. Française Automat. Informat. Recherche Opérationnelle Sér. \jname RAIRO Analyse Numérique 9 (1975), no. R-1, 83 – 104 (English, with Loose French summary). · Zbl 0338.49016
[6] Guido Stampacchia, Formes bilinéaires coercitives sur les ensembles convexes, C. R. Acad. Sci. Paris 258 (1964), 4413 – 4416 (French). · Zbl 0124.06401
[7] Gilbert Strang and George J. Fix, An analysis of the finite element method, Prentice-Hall, Inc., Englewood Cliffs, N. J., 1973. Prentice-Hall Series in Automatic Computation. · Zbl 0356.65096
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