Finite element analysis for unilateral problems with obstacles on the boundary

Jaroslav Haslinger

Aplikace matematiky (1977)

  • Volume: 22, Issue: 3, page 180-188
  • ISSN: 0862-7940

Abstract

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Finite element analysis of unilateral problems with obstacles on the boundary is given. Provided the exact solution is smooth enough, we obtain the rate of convergence 0 ( h ) for the case of one and two (lower and upper) obstacles on the boundary. At the end of this paper the proof of convergence without any regularity assumptions on the exact solution u is given.

How to cite

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Haslinger, Jaroslav. "Finite element analysis for unilateral problems with obstacles on the boundary." Aplikace matematiky 22.3 (1977): 180-188. <http://eudml.org/doc/15003>.

@article{Haslinger1977,
abstract = {Finite element analysis of unilateral problems with obstacles on the boundary is given. Provided the exact solution is smooth enough, we obtain the rate of convergence $0(h)$ for the case of one and two (lower and upper) obstacles on the boundary. At the end of this paper the proof of convergence without any regularity assumptions on the exact solution $u$ is given.},
author = {Haslinger, Jaroslav},
journal = {Aplikace matematiky},
keywords = {finite element approximation; error estimates; finite element approximation; error estimates},
language = {eng},
number = {3},
pages = {180-188},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Finite element analysis for unilateral problems with obstacles on the boundary},
url = {http://eudml.org/doc/15003},
volume = {22},
year = {1977},
}

TY - JOUR
AU - Haslinger, Jaroslav
TI - Finite element analysis for unilateral problems with obstacles on the boundary
JO - Aplikace matematiky
PY - 1977
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 22
IS - 3
SP - 180
EP - 188
AB - Finite element analysis of unilateral problems with obstacles on the boundary is given. Provided the exact solution is smooth enough, we obtain the rate of convergence $0(h)$ for the case of one and two (lower and upper) obstacles on the boundary. At the end of this paper the proof of convergence without any regularity assumptions on the exact solution $u$ is given.
LA - eng
KW - finite element approximation; error estimates; finite element approximation; error estimates
UR - http://eudml.org/doc/15003
ER -

References

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  1. Céa J., Optimisation, théorie et algoritmes, Dunod, Paris 1971, (1971) Zbl0211.17402MR0298892
  2. Hlaváček I., Dual finite element analysis for unilateral boundary value problems, To appear in Api. Mat. Zbl0401.65067MR0502043
  3. Hlaváček I., Dual finite element analysis for elliptic problems with obstacles on the boundary, I, To appear in Apl. Mat. Zbl0422.65065MR0440958
  4. Nečas J., Les méthodes directes en théorie des équations elliptiques, Academie, Prague 1967. (1967) MR0227584
  5. Mosco U., Strang G., 10.1090/S0002-9904-1974-13477-4, Bull. Am. Math. Soc. 80 (1974), 308-312. (1974) Zbl0278.35026MR0331818DOI10.1090/S0002-9904-1974-13477-4
  6. Strang G., One-sided approximations and plate bending. Computing methods in applied sciences and engineering-Part I, Versailles 1973. (1973) MR0435684
  7. Raoult-Puech, Approximation des inequations variationnelles, Seminaire Ciarlet-Glowinski-Raviart 1974. (1974) 
  8. Scarpini F., Vivaldi M., Error estimates for the approximations of some unilateral problems, To appear in R.A.I.R.O. Zbl0358.65087MR0488860
  9. Falk R. S., Error estimates for approximation of a class of a variational inequalities, Math. of Соmр. 28 (1974), 963-971. (1974) Zbl0297.65061MR0391502

Citations in EuDML Documents

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  1. Jan Mach, Finite element analysis of free material optimization problem
  2. Jiří Nedoma, On a type of Signorini problem without friction in linear thermoelasticity
  3. Alexander Ženíšek, Approximations of parabolic variational inequalities
  4. Jaroslav Haslinger, Ivan Hlaváček, Contact between elastic bodies. II. Finite element analysis
  5. Jaroslav Haslinger, Dual finite element analysis for an inequality of the 2nd order
  6. Van Bon Tran, Finite element analysis of primal and dual variational formulations of semicoercive elliptic problems with nonhomogeneous obstacles on the boundary

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