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

Ivan Hlaváček; Ján Lovíšek

Aplikace matematiky (1980)

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

Abstract

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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.

How to cite

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Hlaváček, 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

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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. (1977) MR0446014
  2. R. S. Falk, Error estimates for the approximation of a class of variational inequalities, Math. of Соmр. 28 (1974), 963-971. (1974) Zbl0297.65061MR0391502
  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. (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. (1975) MR0382827
  5. I. Hlaváček, J. Nečas, 10.1007/BF00249519, Arch. Ratl. Mech. Anal. 36 (1970), 312-324. (1970) Zbl0193.39002MR0252845DOI10.1007/BF00249519

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