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Original Articles

Intrinsic expression of the derivatives in domain optimization problems

The derivatives in domain optimization problems

Pages 93-112 | Published online: 18 May 2010

  • BELLO , J. , FERNANDEZ-CARA , E. and SIMON , J. The variation of the drug with respect to the domain in Navier-Stokes Flow . Proceedings of the “First Franco-Roumanian conference on Optimization, Optimal Control, partial Differential Equations” . Iasi : Birkhauser .
  • CÉA , J. 1986 . Conception optimale ou identijication de forme . calcul rapide de la dérivée directionnelle de la fonction coÛt , 20 : 371 – 402 . M.A.A.N
  • DELFOUR , M.C. and ZOLESIO , J.P. 1991 . Velocity method and Lagrangian formulation for the computation of the shape Hossian . SIAM Control and Optimization , 29 : 1414 – 1442 .
  • GUILLAUME , PH and MASMOUDI , M. 1994 . Computation of high order derivatives in optimal shape design . Numerishe Mathematik , 67 : 231 – 250 .
  • MURAT F. SIMON J. Sur le contrôle par un domaine géométrique Thèse d'état Paris 1976
  • NECAS , J. 1967 . Les méthodes directes on théorie des équations ellipliques , Paris : Masson .
  • SIMON , J. 1980 . Differentiation with respect to the domain in boundary value problems . Numerical Functional analysis and Optimization , 2 ( 7&8 ) : 649 – 687 .
  • Sruox , J. 1989 . “ second variation for domain optimization problem ” . In International Series of Numerical Mathmatics , Birkhauser .

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