Newton Method in 3-Dimensional Shape Optimization Problems - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 1998

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.

Domains

Other [cs.OH]
Fichier principal
Vignette du fichier
RR-3367.pdf (575.44 Ko) Télécharger le fichier

Dates and versions

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

Identifiers

  • HAL Id : inria-00073322 , version 1

Cite

Arian Novruzi, Jean R. Roche. Newton Method in 3-Dimensional Shape Optimization Problems. [Research Report] RR-3367, INRIA. 1998, pp.33. ⟨inria-00073322⟩
79 View
159 Download

Share

Gmail Facebook Twitter LinkedIn More