| Title:
|
Dual finite element analysis for unilateral boundary value problems (English) |
| Author:
|
Hlaváček, Ivan |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
22 |
| Issue:
|
1 |
| Year:
|
1977 |
| Pages:
|
14-51 |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Keyword:
|
dual approach |
| Keyword:
|
bilateral boundary value problems |
| Keyword:
|
elliptic equations |
| Keyword:
|
Signorini’s type |
| Keyword:
|
model problems |
| Keyword:
|
asymptotic order of convergence |
| Keyword:
|
finite element approximation |
| Keyword:
|
numerical solution |
| Keyword:
|
a posteriori error estimates |
| Keyword:
|
two-sided estimates |
| MSC:
|
35J25 |
| MSC:
|
65N15 |
| MSC:
|
65N30 |
| idZBL:
|
Zbl 0416.65070 |
| idMR:
|
MR0426453 |
| DOI:
|
10.21136/AM.1977.103675 |
| . |
| Date available:
|
2008-05-20T18:06:23Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103675 |
| . |
| Reference:
|
[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. MR 0285136 |
| Reference:
|
[2] I. Hlaváček: Some equilibrium and mixed models in the finite element method.Proceedings of the St. Banach Internat. Math. Center, Warsaw, (1976). |
| Reference:
|
[3] J. Haslinger I. Hlaváček: Convergence of a finite element method based on the dual variational formulation.Apl. mat. 21 (1976), 43 - 65. MR 0398126 |
| Reference:
|
[4] G. Fichera: Boundary value problems of elasticity with unilateral constraints.Encyclopedia of Physics, ed. S. Flügge, Vol. VIa/2, Springer, Berlin 1972. |
| Reference:
|
[5] J. Céa: Optimisation, théorie et algorithmes.Dunod, Paris 1971. MR 0298892 |
| Reference:
|
[6] J. Nečas: Les méthodes directes en théorie des équations elliptiques.Academia, Prague 1967. MR 0227584 |
| Reference:
|
[7] U. Mosco G. Strang: One-sided approximations and variational inequalities.Bull. Am. Math. Soc. 80 (1974), 308-312. MR 0331818, 10.1090/S0002-9904-1974-13477-4 |
| Reference:
|
[8] J. H. Bramble M. Zlámal: Triangular elements in the finite element method.Math. Соmр. 24 (1970), 809-820. MR 0282540 |
| Reference:
|
[9] G. Zoutendijk: Methods of feasible directions.Elsevier, Amsterdam 1960. Zbl 0097.35408 |
| Reference:
|
[10] I. Hlaváček: Dual finite element analysis for elliptic problems with obstacles on the boundary.Apl. mat. 22 (to appear). |
| . |
