Geodesic
Finite element analysis of the Signorini problem in semi-coercive cases
Applications of Mathematics, Tome 25 (1980) no. 4, pp. 273-285

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MR Zbl
The plane Signorini problem is considered in the cases, when there exist non-trivial rigid admissible displacements. The existence and uniqueness of the solution and the convergence of piecewise linear finite element approximations is discussed.
The plane Signorini problem is considered in the cases, when there exist non-trivial rigid admissible displacements. The existence and uniqueness of the solution and the convergence of piecewise linear finite element approximations is discussed.
DOI : 10.21136/AM.1980.103861
Classification : 65N30, 73C20, 74A55, 74M15, 74S05
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 
Hlaváček, Ivan; Lovíšek, Ján. Finite element analysis of the Signorini problem in semi-coercive cases. Applications of Mathematics, Tome 25 (1980) no. 4, pp. 273-285. doi: 10.21136/AM.1980.103861
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[1] I. Hlaváček, J. Lovíšek: A finite element analysis for the Signorini problem in plane elastostatics. Appl. Mat. 22 (1977), 215-228. | MR

[2] R. S. Falk: Error estimates for the approximation of a class of variational inequalities. Math. of Соmр. 28 (1974), 963-971. | MR | Zbl

[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. | MR

[5] I. Hlaváček, J. Nečas: On inequalities of Korn's type. Arch. Ratl. Mech. Anal. 36 (1970), 312-324. | DOI | MR | Zbl

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