A finite element analysis for the Signorini problem in plane elastostatics

Ivan Hlaváček; Ján Lovíšek

Aplikace matematiky (1977)

  • Volume: 22, Issue: 3, page 215-228
  • ISSN: 0862-7940

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Hlaváček, Ivan, and Lovíšek, Ján. "A finite element analysis for the Signorini problem in plane elastostatics." Aplikace matematiky 22.3 (1977): 215-228. <http://eudml.org/doc/15006>.

@article{Hlaváček1977,
author = {Hlaváček, Ivan, Lovíšek, Ján},
journal = {Aplikace matematiky},
language = {eng},
number = {3},
pages = {215-228},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A finite element analysis for the Signorini problem in plane elastostatics},
url = {http://eudml.org/doc/15006},
volume = {22},
year = {1977},
}

TY - JOUR
AU - Hlaváček, Ivan
AU - Lovíšek, Ján
TI - A finite element analysis for the Signorini problem in plane elastostatics
JO - Aplikace matematiky
PY - 1977
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 22
IS - 3
SP - 215
EP - 228
LA - eng
UR - http://eudml.org/doc/15006
ER -

References

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  1. Signorini A., Questioni di elasticità non linearizzata о semi-linearizzata, Rend. di Matem. e delle sue appl. 18 (1959). (1959) Zbl0091.38006MR0127587
  2. Fichera G., Problemi elastostatici con vincoli unilaterali: il problema di Signorini con ambigue condizioni al contorno, Mem. Ace. Naz. Lincei, s. VIII., 7, f. 5 (1964). (1964) Zbl0146.21204MR0178631
  3. Fichera G., Boundary Value Problems of Elasticity with Unilateral Constraints, Encycl. of Physics (ed. by S. Flügge), vol. VIa/2. Springer, Berlin 1972. (1972) 
  4. Hlaváček I., Dual Finite Element Analysis for Unilateral Boundary Value Problems, Apl. Mat. 22 (1977), 14-51. (1977) Zbl0416.65070MR0426453
  5. Nečas J., Les méthodes directes en théorie des équations elliptiques, Academia, Prague 1967. (1967) MR0227584
  6. Scarpini F., Vivaldi M., Error Estimates for the Approximation of Some Unilateral Problems, R.A.I.R.O. (1977). (1977) Zbl0358.65087MR0488860
  7. Céa J., Optimisation, théorie et algorithmes, Dunod, Paris 1971. (1971) Zbl0211.17402MR0298892
  8. Frémond M., Dual Formulations for Potential and Complementary Energies, Mathematics of Finite Elements and Appl. (ed. by J. R. Whiteman), Academic Press, 1973. (1973) Zbl0297.73062
  9. Panagiotopoulos P. D., Unilateral Problems in the Theory of Elasticity, Ing. Archiv. 44, (1975), 421-432. (1975) Zbl0332.73018MR0426584
  10. Mosco U., Strang G., 10.1090/S0002-9904-1974-13477-4, Bull. Amer. Math. Soc. 80 (1974), 308-312. (1974) Zbl0278.35026MR0331818DOI10.1090/S0002-9904-1974-13477-4

Citations in EuDML Documents

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  1. Ivan Hlaváček, Ján Lovíšek, Finite element analysis of the Signorini problem in semi-coercive cases
  2. Jindřich Nečas, Ivan Hlaváček, Solution of Signorini's contact problem in the deformation theory of plasticity by secant modules method
  3. Jaroslav Haslinger, Finite element analysis of the Signorini problem
  4. J. Gwinner, E. P. Stephan, A boundary element procedure for contact problems in plane linear elastostatics
  5. Jiří Nedoma, On a type of Signorini problem without friction in linear thermoelasticity
  6. Jiří Nedoma, On the Signorini problem with friction in linear thermoelasticity: The quasi-coupled 2D-case
  7. Ivan Hlaváček, Convergence of dual finite element approximations for unilateral boundary value problems

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