Dual finite element analysis for unilateral boundary value problems

Ivan Hlaváček

Aplikace matematiky (1977)

  • Volume: 22, Issue: 1, page 14-51
  • ISSN: 0862-7940

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Hlaváček, Ivan. "Dual finite element analysis for unilateral boundary value problems." Aplikace matematiky 22.1 (1977): 14-51. <http://eudml.org/doc/14989>.

@article{Hlaváček1977,
author = {Hlaváček, Ivan},
journal = {Aplikace matematiky},
keywords = {dual approach; bilateral boundary value problems; elliptic equations; Signorini’s type; model problems; asymptotic order of convergence; finite element approximation; numerical solution; a posteriori error estimates; two-sided estimates; dual approach; bilateral boundary value problems; elliptic equations; Signorini's type; model problems; asymptotic order of convergence; finite element approximation; numerical solution; a posteriori error estimates; two-sided estimates},
language = {eng},
number = {1},
pages = {14-51},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Dual finite element analysis for unilateral boundary value problems},
url = {http://eudml.org/doc/14989},
volume = {22},
year = {1977},
}

TY - JOUR
AU - Hlaváček, Ivan
TI - Dual finite element analysis for unilateral boundary value problems
JO - Aplikace matematiky
PY - 1977
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 22
IS - 1
SP - 14
EP - 51
LA - eng
KW - dual approach; bilateral boundary value problems; elliptic equations; Signorini’s type; model problems; asymptotic order of convergence; finite element approximation; numerical solution; a posteriori error estimates; two-sided estimates; dual approach; bilateral boundary value problems; elliptic equations; Signorini's type; model problems; asymptotic order of convergence; finite element approximation; numerical solution; a posteriori error estimates; two-sided estimates
UR - http://eudml.org/doc/14989
ER -

References

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  1. J. P. Aubin H. G. Burchard, Some aspects of the method of the hypercircle applied to elliptic variational problems, Num. sol. PDE-II, SYNSPADE (1970), 1-67. (1970) MR0285136
  2. I. Hlaváček, Some equilibrium and mixed models in the finite element method, Proceedings of the St. Banach Internat. Math. Center, Warsaw, (1976). (1976) 
  3. J. Haslinger I. Hlaváček, Convergence of a finite element method based on the dual variational formulation, Apl. mat. 21 (1976), 43 - 65. (1976) MR0398126
  4. G. Fichera, Boundary value problems of elasticity with unilateral constraints, Encyclopedia of Physics, ed. S. Flügge, Vol. VIa/2, Springer, Berlin 1972. (1972) 
  5. J. Céa, Optimisation, théorie et algorithmes, Dunod, Paris 1971. (1971) MR0298892
  6. J. Nečas, Les méthodes directes en théorie des équations elliptiques, Academia, Prague 1967. (1967) MR0227584
  7. U. Mosco G. Strang, 10.1090/S0002-9904-1974-13477-4, Bull. Am. Math. Soc. 80 (1974), 308-312. (1974) MR0331818DOI10.1090/S0002-9904-1974-13477-4
  8. J. H. Bramble M. Zlámal, Triangular elements in the finite element method, Math. Соmр. 24 (1970), 809-820. (1970) MR0282540
  9. G. Zoutendijk, Methods of feasible directions, Elsevier, Amsterdam 1960. (1960) Zbl0097.35408
  10. I. Hlaváček, Dual finite element analysis for elliptic problems with obstacles on the boundary, Apl. mat. 22 (to appear). 

Citations in EuDML Documents

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  1. Jaroslav Haslinger, Ján Lovíšek, Mixed variational formulation of unilateral problems
  2. Ivan Hlaváček, Ján Lovíšek, A finite element analysis for the Signorini problem in plane elastostatics
  3. Ivan Hlaváček, Dual finite element analysis for elliptic problems with obstacles on the boundary. I
  4. Jaroslav Haslinger, Finite element analysis for unilateral problems with obstacles on the boundary
  5. Ivan Hlaváček, Dual finite element analysis for semi-coercive unilateral boundary value problems
  6. Jiří Nedoma, On a type of Signorini problem without friction in linear thermoelasticity
  7. Jaroslav Haslinger, Ivan Hlaváček, Contact between elastic bodies. III. Dual finite element analysis
  8. Jaroslav Haslinger, Dual finite element analysis for an inequality of the 2nd order
  9. Van Bon Tran, Finite element analysis of primal and dual variational formulations of semicoercive elliptic problems with nonhomogeneous obstacles on the boundary
  10. Ivan Hlaváček, Convergence of dual finite element approximations for unilateral boundary value problems

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