Shape optimization is described by finding the geometry of a structure which is optimal in the sense of a minimized cost function with respect to certain constraints. A Newton’s mesh independence principle was very efficiently used to solve a certain class of optimal design problems in [6]. Here motivated by optimization considerations we show that under the same computational cost an even finer mesh independence principle can be given.
@article{bwmeta1.element.doi-10_2478_s11533-006-0027-4,
author = {Ioannis Argyros},
title = {A refined Newton's mesh independence principle for a class of optimal shape design problems},
journal = {Open Mathematics},
volume = {4},
year = {2006},
pages = {562-572},
zbl = {1112.65061},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-006-0027-4}
}
Ioannis Argyros. A refined Newton’s mesh independence principle for a class of optimal shape design problems. Open Mathematics, Tome 4 (2006) pp. 562-572. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-006-0027-4/
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