# Mixed formulation of elliptic variational inequalities and its approximation

Aplikace matematiky (1981)

- Volume: 26, Issue: 6, page 462-475
- ISSN: 0862-7940

## Access Full Article

top## Abstract

top## How to cite

topHaslinger, Jaroslav. "Mixed formulation of elliptic variational inequalities and its approximation." Aplikace matematiky 26.6 (1981): 462-475. <http://eudml.org/doc/15217>.

@article{Haslinger1981,

abstract = {The approximation of a mixed formulation of elliptic variational inequalities is studied. Mixed formulation is defined as the problem of finding a saddle-point of a properly chosen Lagrangian $\mathcal \{2\}$ on a certain convex set $Kx \ \Lambda $. Sufficient conditions, guaranteeing the convergence of approximate solutions are studied. Abstract results are applied to concrete examples.},

author = {Haslinger, Jaroslav},

journal = {Aplikace matematiky},

keywords = {elliptic variational inequalities; mixed formulation; saddle point problem; elliptic variational inequalities; mixed formulation; saddle point problem},

language = {eng},

number = {6},

pages = {462-475},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Mixed formulation of elliptic variational inequalities and its approximation},

url = {http://eudml.org/doc/15217},

volume = {26},

year = {1981},

}

TY - JOUR

AU - Haslinger, Jaroslav

TI - Mixed formulation of elliptic variational inequalities and its approximation

JO - Aplikace matematiky

PY - 1981

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 26

IS - 6

SP - 462

EP - 475

AB - The approximation of a mixed formulation of elliptic variational inequalities is studied. Mixed formulation is defined as the problem of finding a saddle-point of a properly chosen Lagrangian $\mathcal {2}$ on a certain convex set $Kx \ \Lambda $. Sufficient conditions, guaranteeing the convergence of approximate solutions are studied. Abstract results are applied to concrete examples.

LA - eng

KW - elliptic variational inequalities; mixed formulation; saddle point problem; elliptic variational inequalities; mixed formulation; saddle point problem

UR - http://eudml.org/doc/15217

ER -

## References

top- F. Brezzi W. W. Hager P. A. Raviart, Error estimates for the finite element solution of variational inequalities, Part II: Mixed methods, Numerische Mathematik, 131, 1978, pp. 1-16. (1978) MR0508584
- J. Cea, Optimisation, théorie et algorithmes, Dunod, 1971. (1971) Zbl0211.17402MR0298892
- I. Ekeland R. Temam, Analyse convexe et problèmes variationnels, Dunod, 1974, Paris. (1974) MR0463993
- R. Glowinski J. L. Lions R. Tremolieres, Analyse numérique des inéquations variationnelles, Vol. I., II. Dunod, 1976, Paris. (1976)
- J. Haslinger I. Hlaváček, Approximation of the Signorini problem with friction by the mixed finite element method, to appear in JMAA.
- J. Haslinger J. Lovíšek, Mixed variational formulation of unilateral problems, CMUC 21, 2 (1980), 231-246. (1980) MR0580680
- J. Haslinger M. Tvrdý, Numerical solution of the Signorini problem with friction by FEM, to appear. MR1355659

## Citations in EuDML Documents

top- Klaus Böhmer, Christian Grossmann, Area of contraction of Newton's method applied to a penalty technique for obstacle problems
- Jaroslav Haslinger, Miroslav Tvrdý, Approximation and numerical solution of contact problems with friction
- Leila Slimane, Abderrahmane Bendali, Patrick Laborde, Mixed formulations for a class of variational inequalities
- Leila Slimane, Abderrahmane Bendali, Patrick Laborde, Mixed formulations for a class of variational inequalities

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.