# Finite element analysis for unilateral problems with obstacles on the boundary

Aplikace matematiky (1977)

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

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topHaslinger, 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

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

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