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elliptic model problem; dual variational formulation; piecewise linear finite elements; a priori error estimates; a posteriori error estimates; two-sided bounds

References:

[1] J. Nečas: **Les méthodes directes en théorie des équations elliptiques**. Academia, Prague 1967. MR 0227584

[2] G. N. Jakovlev: **Boundary properties of functions of class $W_p^{(1)}$ on the domains with angular points**. (in Russian). DAN SSSR, 140 (1961), 73-76. MR 0136988

[3] I. Hlaváček: **Dual finite element analysis for unilateral boundary value problems**. Aplikace matematiky 22 (1977), 14-51. MR 0426453

[4] J. Céa: **Optimisation, théorie et algorithmes**. Dunod, Paris 1971. MR 0298892

[5] U. Mosco G. Strang: **One-sided approximations and variational inequalities**. Bull. Am. Soc. 80 (1974), 308-312. DOI 10.1090/S0002-9904-1974-13477-4 | MR 0331818

[6] I. Hlaváček: **Some equilibrium and mixed models in the finite element method**. Proceedings of the Banach Internat. Math. Center, Warsaw (to appear). MR 0514379