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In this paper, we are interested in finding the optimal shape of a magnet. The criterion to maximize is the jump of the electromagnetic field between two different configurations. We prove existence of an optimal shape into a natural class of domains. We introduce a quasi-Newton type algorithm which moves the boundary. This method is very efficient to improve an initial shape. We give some numerical results.
@article{M2AN_2002__36_2_223_0,
author = {Henrot, Antoine and Villemin, Gr\'egory},
title = {An optimum design problem in magnetostatics},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {223--239},
publisher = {EDP-Sciences},
volume = {36},
number = {2},
year = {2002},
doi = {10.1051/m2an:2002012},
mrnumber = {1906816},
zbl = {1054.49030},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2002012/}
}
TY - JOUR AU - Henrot, Antoine AU - Villemin, Grégory TI - An optimum design problem in magnetostatics JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2002 SP - 223 EP - 239 VL - 36 IS - 2 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/m2an:2002012/ DO - 10.1051/m2an:2002012 LA - en ID - M2AN_2002__36_2_223_0 ER -
%0 Journal Article %A Henrot, Antoine %A Villemin, Grégory %T An optimum design problem in magnetostatics %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2002 %P 223-239 %V 36 %N 2 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/m2an:2002012/ %R 10.1051/m2an:2002012 %G en %F M2AN_2002__36_2_223_0
Henrot, Antoine; Villemin, Grégory. An optimum design problem in magnetostatics. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 36 (2002) no. 2, pp. 223-239. doi: 10.1051/m2an:2002012
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