# 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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