In addition to the optimal design and worst scenario problems formulated in a previous paper [3], approximate optimization problems are introduced, making use of the finite element method. The solvability of the approximate problems is proved on the basis of a general theorem of [3]. When the mesh size tends to zero, a subsequence of any sequence of approximate solutions converges uniformly to a solution of the continuous problem.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am29-1-8,
author = {Ivan Hlav\'a\v cek and J\'an Lov\'\i \v sek},
title = {Control in obstacle-pseudoplate problems with friction on the boundary. approximate optimal design and worst scenario problems},
journal = {Applicationes Mathematicae},
volume = {29},
year = {2002},
pages = {75-95},
zbl = {1053.74032},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am29-1-8}
}
Ivan Hlaváček; Ján Lovíšek. Control in obstacle-pseudoplate problems with friction on the boundary. approximate optimal design and worst scenario problems. Applicationes Mathematicae, Tome 29 (2002) pp. 75-95. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am29-1-8/