An Optimum Design Problem in Magnetostatics
Antoine Henrot; Grégory Villemin
ESAIM: Mathematical Modelling and Numerical Analysis (2010)
- Volume: 36, Issue: 2, page 223-239
- ISSN: 0764-583X
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topHenrot, Antoine, and Villemin, Grégory. "An Optimum Design Problem in Magnetostatics." ESAIM: Mathematical Modelling and Numerical Analysis 36.2 (2010): 223-239. <http://eudml.org/doc/194102>.
@article{Henrot2010,
abstract = {
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.
},
author = {Henrot, Antoine, Villemin, Grégory},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Shape optimization; optimum design; magnet; numerical examples.; shape optimization; numerical examples},
language = {eng},
month = {3},
number = {2},
pages = {223-239},
publisher = {EDP Sciences},
title = {An Optimum Design Problem in Magnetostatics},
url = {http://eudml.org/doc/194102},
volume = {36},
year = {2010},
}
TY - JOUR
AU - Henrot, Antoine
AU - Villemin, Grégory
TI - An Optimum Design Problem in Magnetostatics
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 36
IS - 2
SP - 223
EP - 239
AB -
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.
LA - eng
KW - Shape optimization; optimum design; magnet; numerical examples.; shape optimization; numerical examples
UR - http://eudml.org/doc/194102
ER -
References
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