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Rapport (Rapport De Recherche) Année : 1998

Newton Method in 3-Dimensional Shape Optimization Problems

Résumé

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.

Domaines

Autre [cs.OH]
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Dates et versions

inria-00073322 , version 1 (24-05-2006)

Identifiants

  • HAL Id : inria-00073322 , version 1

Citer

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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