Control in obstacle-pseudoplate problems with friction on the boundary. optimal design and problems with uncertain data

Ivan Hlaváček, and Ján Lovíšek. "Control in obstacle-pseudoplate problems with friction on the boundary. optimal design and problems with uncertain data." Applicationes Mathematicae 28.4 (2001): 407-426. <http://eudml.org/doc/279804>.

@article{IvanHlaváček2001,
abstract = {Four optimal design problems and a weight minimization problem are considered for elastic plates with small bending rigidity, resting on a unilateral elastic foundation, with inner rigid obstacles and a friction condition on a part of the boundary. The state problem is represented by a variational inequality and the design variables influence both the coefficients and the set of admissible state functions. If some input data are allowed to be uncertain a new method of reliable solutions is employed. We prove the existence of a solution to the above-mentioned problems on the basis of a general theorem on the control of variational inequalities.},
author = {Ivan Hlaváček, Ján Lovíšek},
journal = {Applicationes Mathematicae},
keywords = {control of variational inequalities; optimal design; weight minimization; pseudoplate with obstacles; worst scenario; uncertain data},
language = {eng},
number = {4},
pages = {407-426},
title = {Control in obstacle-pseudoplate problems with friction on the boundary. optimal design and problems with uncertain data},
url = {http://eudml.org/doc/279804},
volume = {28},
year = {2001},
}

TY - JOUR
AU - Ivan Hlaváček
AU - Ján Lovíšek
TI - Control in obstacle-pseudoplate problems with friction on the boundary. optimal design and problems with uncertain data
JO - Applicationes Mathematicae
PY - 2001
VL - 28
IS - 4
SP - 407
EP - 426
AB - Four optimal design problems and a weight minimization problem are considered for elastic plates with small bending rigidity, resting on a unilateral elastic foundation, with inner rigid obstacles and a friction condition on a part of the boundary. The state problem is represented by a variational inequality and the design variables influence both the coefficients and the set of admissible state functions. If some input data are allowed to be uncertain a new method of reliable solutions is employed. We prove the existence of a solution to the above-mentioned problems on the basis of a general theorem on the control of variational inequalities.
LA - eng
KW - control of variational inequalities; optimal design; weight minimization; pseudoplate with obstacles; worst scenario; uncertain data
UR - http://eudml.org/doc/279804
ER -