| Title:
|
Finite element analysis of the Signorini problem in semi-coercive cases (English) |
| Author:
|
Hlaváček, Ivan |
| Author:
|
Lovíšek, Ján |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
25 |
| Issue:
|
4 |
| Year:
|
1980 |
| Pages:
|
273-285 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
The plane Signorini problem is considered in the cases, when there exist non-trivial rigid admissible displacements. The existence and uniqueness of the solution and the convergence of piecewise linear finite element approximations is discussed. (English) |
| Keyword:
|
semi-coercive cases |
| Keyword:
|
non trivial rigid body motions |
| Keyword:
|
plane elastic plate |
| Keyword:
|
restricting to dimension one |
| Keyword:
|
existence and uniqueness of weak solution |
| Keyword:
|
piecewise linear finite element approximations |
| Keyword:
|
a priori error estimate |
| Keyword:
|
convergence |
| MSC:
|
65N30 |
| MSC:
|
73C20 |
| MSC:
|
74A55 |
| MSC:
|
74M15 |
| MSC:
|
74S05 |
| idZBL:
|
Zbl 0448.73073 |
| idMR:
|
MR0583588 |
| DOI:
|
10.21136/AM.1980.103861 |
| . |
| Date available:
|
2008-05-20T18:14:41Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103861 |
| . |
| Reference:
|
[1] I. Hlaváček, J. Lovíšek: A finite element analysis for the Signorini problem in plane elastostatics.Appl. Mat. 22 (1977), 215-228. MR 0446014 |
| Reference:
|
[2] R. S. Falk: Error estimates for the approximation of a class of variational inequalities.Math. of Соmр. 28 (1974), 963-971. Zbl 0297.65061, MR 0391502 |
| Reference:
|
[3] G. Fichera: Boundary value problems of elasticity with unilateral constraints.Encycl. of Physics (ed. by S. Flügge) vol. VI a/2, Springer - Verlag Berlin 1972. |
| Reference:
|
[4] J. Nečas: On regularity of solutions to nonlinear variational inequalities for second - order elliptic systems.Rendiconti di Matem. (2), Vol. 8, Serie VI, (1975), 481 - 498. MR 0382827 |
| Reference:
|
[5] I. Hlaváček, J. Nečas: On inequalities of Korn's type.Arch. Ratl. Mech. Anal. 36 (1970), 312-324. Zbl 0193.39002, MR 0252845, 10.1007/BF00249519 |
| . |
