| Title:
|
Mixed formulation of elliptic variational inequalities and its approximation (English) |
| Author:
|
Haslinger, Jaroslav |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
26 |
| Issue:
|
6 |
| Year:
|
1981 |
| Pages:
|
462-475 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
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 $\Cal 2$ on a certain convex set $Kx \ \Lambda$. Sufficient conditions, guaranteeing the convergence of approximate solutions are studied. Abstract results are applied to concrete examples. (English) |
| Keyword:
|
elliptic variational inequalities |
| Keyword:
|
mixed formulation |
| Keyword:
|
saddle point problem |
| MSC:
|
35J20 |
| MSC:
|
49A29 |
| MSC:
|
49J40 |
| MSC:
|
65K10 |
| idZBL:
|
Zbl 0483.49003 |
| idMR:
|
MR0634283 |
| DOI:
|
10.21136/AM.1981.103936 |
| . |
| Date available:
|
2008-05-20T18:18:05Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103936 |
| . |
| Reference:
|
[1] 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. MR 0508584 |
| Reference:
|
[2] J. Cea: Optimisation, théorie et algorithmes.Dunod, 1971. Zbl 0211.17402, MR 0298892 |
| Reference:
|
[3] I. Ekeland R. Temam: Analyse convexe et problèmes variationnels.Dunod, 1974, Paris. MR 0463993 |
| Reference:
|
[4] R. Glowinski J. L. Lions R. Tremolieres: Analyse numérique des inéquations variationnelles.Vol. I., II. Dunod, 1976, Paris. |
| Reference:
|
[5] J. Haslinger I. Hlaváček: Approximation of the Signorini problem with friction by the mixed finite element method.to appear in JMAA. |
| Reference:
|
[6] J. Haslinger J. Lovíšek: Mixed variational formulation of unilateral problems.CMUC 21, 2 (1980), 231-246. MR 0580680 |
| Reference:
|
[7] J. Haslinger M. Tvrdý: Numerical solution of the Signorini problem with friction by FEM.to appear. MR 1355659 |
| . |
