Shape sensitivity analysis via a penalization method

DOI10.1007/BF01762794zbMath0667.49004OpenAlexW2041920517MaRDI QIDQ1117444

Jean-Paul Zolésio, Michel C. Delfour

Publication date: 1988

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01762794

zbMATH Keywords

penalizationshape derivativeshape sensitivity analysis

Mathematics Subject Classification ID

Related Items (8)

Mutational equations in metrics spaces ⋮ Shape Differentiability Under Non-linear PDE Constraints ⋮ Generalized implicit function theorems and problems with a free boundary ⋮ Analyse des problèmes de forme par la dérivation des minimax. (Analysis of shape problems by minimax differentiation) ⋮ Anatomy of the shape Hessian ⋮ Optimal shape design for systems governed by variational inequalities. I: Existence theory for the elliptic case ⋮ One-sided derivative of min max and saddle points with respect to a parameter^* ⋮ Optimal shape design for systems governed by variational inequalities. III: Necessary conditions in the elliptic case

Cites Work

• Conception optimale ou identification de formes, calcul rapide de la dérivée directionnelle de la fonction coût
• Approximation of Nonlinear Problems Associated with Radiating Bodies in Space
• Shape Sensitivity Analysis of Unilateral Problems
• Shape Sensitivity Analysis via Min Max Differentiability
• Some results on linear stochastic evolution equations in hilbert spaces by the semi–groups method
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Shape sensitivity analysis via a penalization method