An optimum design problem in magnetostatics
Henrot, Antoine ; Villemin, Grégory
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 36 (2002), p. 223-239 / Harvested from Numdam
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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.

Publié le : 2002-01-01
DOI : https://doi.org/10.1051/m2an:2002012
Classification:  49J20,  49Q10,  65K10,  78A30 
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     author = {Henrot, Antoine and Villemin, Gr\'egory},
     title = {An optimum design problem in magnetostatics},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {36},
     year = {2002},
     pages = {223-239},
     doi = {10.1051/m2an:2002012},
     mrnumber = {1906816},
     zbl = {1054.49030},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_2002__36_2_223_0}
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Henrot, Antoine; Villemin, Grégory. An optimum design problem in magnetostatics. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 36 (2002) pp. 223-239. doi : 10.1051/m2an:2002012. http://gdmltest.u-ga.fr/item/M2AN_2002__36_2_223_0/

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