We characterize the solution to the Newton minimal resistance problem in a class of radial q-concave profiles. We also give the corresponding result for one-dimensional profiles. Moreover, we provide a numerical optimization algorithm for the general nonradial case.
Accepté le :
DOI : 10.1051/cocv/2018016
Keywords: Newton minimal resistance problem, shape optimization
Mainini, Edoardo 1 ; Monteverde, Manuel 1 ; Oudet, Edouard 1 ; Percivale, Danilo 1
@article{COCV_2019__25__A27_0,
author = {Mainini, Edoardo and Monteverde, Manuel and Oudet, Edouard and Percivale, Danilo},
title = {The minimal resistance problem in a class of non convex bodies},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
year = {2019},
publisher = {EDP Sciences},
volume = {25},
doi = {10.1051/cocv/2018016},
zbl = {1439.49078},
mrnumber = {3989206},
language = {en},
url = {https://www.numdam.org/articles/10.1051/cocv/2018016/}
}
TY - JOUR AU - Mainini, Edoardo AU - Monteverde, Manuel AU - Oudet, Edouard AU - Percivale, Danilo TI - The minimal resistance problem in a class of non convex bodies JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2019 VL - 25 PB - EDP Sciences UR - https://www.numdam.org/articles/10.1051/cocv/2018016/ DO - 10.1051/cocv/2018016 LA - en ID - COCV_2019__25__A27_0 ER -
%0 Journal Article %A Mainini, Edoardo %A Monteverde, Manuel %A Oudet, Edouard %A Percivale, Danilo %T The minimal resistance problem in a class of non convex bodies %J ESAIM: Control, Optimisation and Calculus of Variations %D 2019 %V 25 %I EDP Sciences %U https://www.numdam.org/articles/10.1051/cocv/2018016/ %R 10.1051/cocv/2018016 %G en %F COCV_2019__25__A27_0
Mainini, Edoardo; Monteverde, Manuel; Oudet, Edouard; Percivale, Danilo. The minimal resistance problem in a class of non convex bodies. ESAIM: Control, Optimisation and Calculus of Variations, Tome 25 (2019), article no. 27. doi: 10.1051/cocv/2018016
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