# An optimum design problem in magnetostatics

Antoine Henrot; Grégory Villemin

- 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 - Modélisation Mathématique et Analyse Numérique 36.2 (2002): 223-239. <http://eudml.org/doc/245598>.

@article{Henrot2002,

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 - Modélisation Mathématique et Analyse Numérique},

keywords = {shape optimization; optimum design; magnet; numerical examples},

language = {eng},

number = {2},

pages = {223-239},

publisher = {EDP-Sciences},

title = {An optimum design problem in magnetostatics},

url = {http://eudml.org/doc/245598},

volume = {36},

year = {2002},

}

TY - JOUR

AU - Henrot, Antoine

AU - Villemin, Grégory

TI - An optimum design problem in magnetostatics

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 2002

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

UR - http://eudml.org/doc/245598

ER -

## References

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