On numerical solution of a variational inequality of the 4th order by finite element method. (English) Zbl 0399.65084


65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J20 Variational methods for second-order elliptic equations
65K05 Numerical mathematical programming methods
90C20 Quadratic programming
74K20 Plates
74S05 Finite element methods applied to problems in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
31A30 Biharmonic, polyharmonic functions and equations, Poisson’s equation in two dimensions
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[4] Glowinski R.: Analyse numerique d’inequations variationnelles d’ordre 4.
[5] Jakovlev G. N.: The boundary properties of the functions belonging to the class \(W^{1,p} on domains with conical or angular points. Trans. Moscow Math. Soc. (1967), 227--313.\)
[6] Janovský V., Procházka P.: The nonconforming finite element method in the problem of clamped plate with ribs. Apl. Mat. 21 (1976), No 4, 273 - 289.
[7] Glowinski R., Lions J. L., Trémolieres R.: Analyse numérique des inéquations variationnelles. Dunod, Paris 1976. · Zbl 0358.65091
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