# Finite element analysis of the Signorini problem in semi-coercive cases

Aplikace matematiky (1980)

- Volume: 25, Issue: 4, page 273-285
- ISSN: 0862-7940

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topHlaváček, Ivan, and Lovíšek, Ján. "Finite element analysis of the Signorini problem in semi-coercive cases." Aplikace matematiky 25.4 (1980): 273-285. <http://eudml.org/doc/15151>.

@article{Hlaváček1980,

abstract = {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.},

author = {Hlaváček, Ivan, Lovíšek, Ján},

journal = {Aplikace matematiky},

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; 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},

language = {eng},

number = {4},

pages = {273-285},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Finite element analysis of the Signorini problem in semi-coercive cases},

url = {http://eudml.org/doc/15151},

volume = {25},

year = {1980},

}

TY - JOUR

AU - Hlaváček, Ivan

AU - Lovíšek, Ján

TI - Finite element analysis of the Signorini problem in semi-coercive cases

JO - Aplikace matematiky

PY - 1980

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 25

IS - 4

SP - 273

EP - 285

AB - 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.

LA - eng

KW - 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; 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

UR - http://eudml.org/doc/15151

ER -

## References

top- I. Hlaváček, J. Lovíšek, A finite element analysis for the Signorini problem in plane elastostatics, Appl. Mat. 22 (1977), 215-228. (1977) MR0446014
- R. S. Falk, Error estimates for the approximation of a class of variational inequalities, Math. of Соmр. 28 (1974), 963-971. (1974) Zbl0297.65061MR0391502
- 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. (1972)
- 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. (1975) MR0382827
- I. Hlaváček, J. Nečas, 10.1007/BF00249519, Arch. Ratl. Mech. Anal. 36 (1970), 312-324. (1970) Zbl0193.39002MR0252845DOI10.1007/BF00249519

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