Newton Method in 3-Dimensional Shape Optimization Problems

Abstract : Our goal is to introduce a Newton method to compute the stationary points of a total energy with respect to the shape. We produce a precise description of the second order shape derivative which is given by a symmetrical boundary integral operator, useful for numerical calculations. We apply this method to a particular shape optimization problem, the electromagnetic casting problem. The algorithm to compute the shape gradient and the shape Hessian is adap­ted to a MIMD computer with distributed memory using M.P.I. message passing interface.
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Rapport
[Research Report] RR-3367, INRIA. 1998, pp.33
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https://hal.inria.fr/inria-00073322
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Dernière modification le : samedi 17 septembre 2016 - 01:06:50
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Arian Novruzi, Jean R. Roche. Newton Method in 3-Dimensional Shape Optimization Problems. [Research Report] RR-3367, INRIA. 1998, pp.33. 〈inria-00073322〉

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