On the minimum of the work of interaction forces between a pseudoplate and a rigid obstacle
Mathematica Bohemica (2001)
- Volume: 126, Issue: 2, page 281-292
- ISSN: 0862-7959
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topBock, Igor, and Lovíšek, Ján. "On the minimum of the work of interaction forces between a pseudoplate and a rigid obstacle." Mathematica Bohemica 126.2 (2001): 281-292. <http://eudml.org/doc/248859>.
@article{Bock2001,
abstract = {An optimization problem for the unilateral contact between a pseudoplate and a rigid obstacle is considered. The variable thickness of the pseudoplate plays the role of a control variable. The cost functional is a regular functional only in the smooth case. The existence of an optimal thickness is verified. The penalized optimal control problem is considered in the general case.},
author = {Bock, Igor, Lovíšek, Ján},
journal = {Mathematica Bohemica},
keywords = {elliptic variational inequality; pseudoplate; thickness; optimal control; penalization; elliptic variational inequality; pseudoplate; thickness; optimal control; penalization},
language = {eng},
number = {2},
pages = {281-292},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the minimum of the work of interaction forces between a pseudoplate and a rigid obstacle},
url = {http://eudml.org/doc/248859},
volume = {126},
year = {2001},
}
TY - JOUR
AU - Bock, Igor
AU - Lovíšek, Ján
TI - On the minimum of the work of interaction forces between a pseudoplate and a rigid obstacle
JO - Mathematica Bohemica
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 126
IS - 2
SP - 281
EP - 292
AB - An optimization problem for the unilateral contact between a pseudoplate and a rigid obstacle is considered. The variable thickness of the pseudoplate plays the role of a control variable. The cost functional is a regular functional only in the smooth case. The existence of an optimal thickness is verified. The penalized optimal control problem is considered in the general case.
LA - eng
KW - elliptic variational inequality; pseudoplate; thickness; optimal control; penalization; elliptic variational inequality; pseudoplate; thickness; optimal control; penalization
UR - http://eudml.org/doc/248859
ER -
References
top- Optimal control problems for variational inequalities with controls in coefficients, Appl. Math. 32 (1987), 301–314. (1987) MR0897834
- An optimal control problem for a pseudoparabolic variational inequality, Appl. Math. 37 (1992), 62–80. (1992) MR1152158
- Finite Element Approximation for Optimal Shape, Material and Topology Design, John Wiley and Sons, Chichester, 1996. (1996) MR1419500
- 10.1007/BF01442173, Applied Math. Optim. 11 (1984), 111–143. (1984) MR0743922DOI10.1007/BF01442173
- 10.1002/zamm.19970770513, Z. Angew. Math. Mech. 5 (1997), 377–385. (1997) DOI10.1002/zamm.19970770513
- Modelling and Control in Solid Mechanics, Birkhäuser Verlag, Basel, 1997. (1997) MR1433133
- An Introduction to Variational Inequalities and Their Applications, Academic Press, New York, 1980. (1980) MR0567696
- Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, Paris, 1969. (1969) Zbl0189.40603MR0259693
- 10.1137/0323040, SIAM J. Control Optim. 23 (1985), 632–648. (1985) MR0791892DOI10.1137/0323040
- Obstacle Problems in Mathematical Physics, North-Holland Mathematical Studies 134, Amsterdam, 1987. (1987) MR0880369
- Théorie des Distributions, (Second edition). Hermann, Paris, 1966. (1966) Zbl0149.09501MR0209834
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