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weight minimization; penalty method; unilateral plate bending; mixed finite elements

References:

[1] Brezzi, F. – Raviart, P.A.: **Mixed finite element methods for 4th order elliptic equations**. J.J.H. Miller (ed.), Topics in Numer. Anal., vol. III, Academic Press, London, 1977, pp. 33–56. MR 0657975

[2] Comodi, M.I.: **Approximation of a bending plate problem with a boundary unilateral constraint**. Numer. Math. 47 (1985), 435–458. MR 0808562 | Zbl 0581.73022

[3] Glowinski, R. – Lions, J.L. – Trémolières, R.: **Numerical analysis of variational inequalities**. North-Holland, Amsterdam, 1981. MR 0635927

[4] Hlaváček, I.: **A mixed finite element method for plate bending with a unilateral inner obstacle**. Appl. Math. 39 (1994), 25–44. MR 1254745

[5] Collatz, L.: **Functional analysis and numerical mathematics**. Academic Press, New York, 1966. MR 0205126

[6] Litvinov, V.G.: **Optimizacija v eliptičeskich graničnych zadačach s priloženijami v mechanike**. Nauka, Moscow, 1987. (Russian) MR 0898435