Haslinger, Jaroslav; Tvrdy, Miroslav Approximation and numerical solution of contact problems with friction. (English) Zbl 0513.73089 Apl. Mat. 28, 55-71 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 Document MSC: 74S05 Finite element methods applied to problems in solid mechanics 74A55 Theories of friction (tribology) 74M15 Contact in solid mechanics 74S99 Numerical and other methods in solid mechanics 74G30 Uniqueness of solutions of equilibrium problems in solid mechanics 74H25 Uniqueness of solutions of dynamical problems in solid mechanics 74S30 Other numerical methods in solid mechanics (MSC2010) 49J40 Variational inequalities Keywords:suitable choice of multipliers; saddle-point of Lagrangian function; certain convex set; approximation; rate of convergence; Uzawa’s algorithm; plane problem; linear-elastic body; rigid foundation; influence of friction; minimum of non-differentiable functional × Cite Format Result Cite Review PDF Full Text: DOI EuDML References: [1] J. Cea: Оптиимзация. Теория и алгорифмы. Mir, Moskva 1973. · Zbl 0303.93022 [2] G. Duvaut J. L. Lions: Les inéquations en mécanique et en physique. Dunod, Paris 1972. · Zbl 0298.73001 [3] J. Haslinger I. Hlaváček: Contact between elastic bodies. Part II. Finite element analysis. Apl. Mat. 26 (1981) 324-347. [4] M. Tvrdý: The Signorini problem with friction. Thesis, Fac. Math. Phys., Charles Univ., Prague [5] R. Glowinski J. L. Lions R. Trémolières: Analyse numérique des inéquations variationnelles. Dunod, Paris 1976. · Zbl 0358.65091 [6] I. Ekeland R. Temam: Convex Analysis and Variational Problems. North-Holland, Amsterdam 1976. · Zbl 0322.90046 [7] J. Haslinger I. Hlaváček: Approximation of the Signorini problem with friction by a mixed finite element method. JMAA, Vol. 86, No. 1, 99-122. [8] J. Haslinger: Mixed formulation of variational inequalities and its approximation. Apl. Mat. 26 (1981) No. 6. · Zbl 0483.49003 [9] B. N. Pšeničnyj J. M. Danilin: Численные методы в экстремальных задачах. Nauka, Moskva 1975. [10] N. Kikuchi J. T. Oden: Contact problems in elasticity. TICOM Report 79 - 8, July 1979, Texas Inst. for computational mechanics, The University of Texas at Austin. · Zbl 0685.73002 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.