## Dual finite element analysis for elliptic problems with obstacles on the boundary. I.(English)Zbl 0422.65065

### MSC:

 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 35J25 Boundary value problems for second-order elliptic equations 65K10 Numerical optimization and variational techniques 65N15 Error bounds for boundary value problems involving PDEs
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### References:

 [1] J. Nečas: Les méthodes directes en théorie des équations elliptiques. Academia, Prague 1967. · Zbl 1225.35003 [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. [3] I. Hlaváček: Dual finite element analysis for unilateral boundary value problems. Aplikace matematiky 22 (1977), 14-51. [4] J. Céa: Optimisation, théorie et algorithmes. Dunod, Paris 1971. · Zbl 0211.17402 [5] U. Mosco G. Strang: One-sided approximations and variational inequalities. Bull. Am. Soc. 80 (1974), 308-312. · Zbl 0278.35026 [6] I. Hlaváček: Some equilibrium and mixed models in the finite element method. Proceedings of the Banach Internat. Math. Center, Warsaw
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