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Hlaváček, Ivan; Lovíšek, Jan

Finite element analysis of the Signorini problem in semi-coercive cases. (English) Zbl 0448.73073

Apl. Mat. 25, 273-285 (1980).
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Cited in 7 Documents

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs

Keywords:

semi-coercive cases; non trivial rigid body motions; plane elastic plate; restricting to dimension one; existence and uniqueness of weak solution; piecewise linear finite element approximations; a priori error estimate; convergence

Citations:

Zbl 0369.65031
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Full Text: DOI EuDML

References:

[1] I. Hlaváček, J. Lovíšek: A finite element analysis for the Signorini problem in plane elastostatics. Appl. Mat. 22 (1977), 215-228. · Zbl 0369.65031
[2] R. S. Falk: Error estimates for the approximation of a class of variational inequalities. Math. of Comp. 28 (1974), 963-971. · Zbl 0297.65061 · doi:10.2307/2005358
[3] G. Fichera: Boundary value problems of elasticity with unilateral constraints. Encycl. of Physics (ed. by S. Flügge) vol. VI a/2, Springer - Verlag Berlin 1972.
[4] J. Nečas: On regularity of solutions to nonlinear variational inequalities for second - order elliptic systems. Rendiconti di Matem. (2), Vol. 8, Serie VI, (1975), 481 - 498.
[5] I. Hlaváček, J. Nečas: On inequalities of Korn’s type. Arch. Ratl. Mech. Anal. 36 (1970), 312-324. · Zbl 0193.39002 · doi:10.1007/BF00249519
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