Haslinger, Jaroslav; Hlavacek, Ivan Contact between elastic bodies. III. Dual finite element analysis. (English) Zbl 0513.73088 Apl. Mat. 26, 321-344 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 8 Documents MSC: 74S05 Finite element methods applied to problems in solid mechanics 74A55 Theories of friction (tribology) 74M15 Contact in solid mechanics 49S05 Variational principles of physics 74S30 Other numerical methods in solid mechanics (MSC2010) 65N15 Error bounds for boundary value problems involving PDEs Keywords:dual finite element analysis; unilateral contact; elastic bodies; apriori bounded contact zone; terms of stresses; principle of complementary energy; approximations; self-equilibriated triangular block-elements; L2- error estimate Citations:Zbl 0449.73117; Zbl 0465.73144 PDF BibTeX XML Cite \textit{J. Haslinger} and \textit{I. Hlavacek}, Apl. Mat. 26, 321--344 (1981; Zbl 0513.73088) Full Text: EuDML OpenURL References: [1] Haslinger J., Hlaváček I.: Contact between elastic bodies. I. Continuous problems. Apl. mat. 25 (1980), 324-347. II. Finite element analysis. Apl. mat. 26. (1981), 263-290. · Zbl 0449.73117 [2] Céa J.: Optimisation, théorie et algorithmes. Dunod, Paris 1971. · Zbl 0211.17402 [3] Watwood V. B., Hartz B. J.: An equilibrium stress field model for finite element solution of two-dimensional elastostatic problems. Int. J. Solids Structures 4 (1968), 857-873. · Zbl 0164.26201 [4] Hlaváček I.: Convergence of an equilibrium finite element model for plane elastostatics. Apl. mat. 24 (1979), 427-457. · Zbl 0441.73101 [5] Johnson C., Mercier B.: Some equilibrium finite element methods for two-dimensional elasticity problems. Numer. Math. 30, (1978), 103-116. · Zbl 0427.73072 [6] Mosco U., Strang G.: One-sided approximations and variational inequalities. Bull. Am. Math. Soc. 80 (1974), 308-312. · Zbl 0278.35026 [7] Hlaváček I.: Dual finite element analysis for unilateral boundary value problems. Apl. mat. 22 (1977), 14-51. [8] Hlaváček I.: Dual finite element analysis for semi-coercive unilateral boundary value problems. Apl. mat. 23 (1978), 52-71. 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.