Analyse des problèmes de forme par la dérivation des minimax. (Analysis of shape problems by minimax differentiation)
type: Item
instance of: scholarly article
title: Analyse des problèmes de forme par la dérivation des minimax. (Analysis of shape problems by minimax differentiation)
zbMATH Open document ID: 0696.49008
DOI: 10.1016/S0294-1449(17)30023-9
published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
publication date: 1989-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/78196
review text: Shape and Structure Analysis is a very broad and active area of research with a considerable literature in Engineering, Mechanics and Applied Mathematics. The computation of the derivative of a domain with respect to its shape is a central element in Shape Sensitivity Analysis. In general the space of domains is not a vector space and special techniques are necessary to make sense of a derivative. The object of this paper is to present a point of view which brings a complete mathematical justification to many formal computations available in the literature. It makes use of a Lagrangian formulation and theorems of the derivative of a minimax functional with respect to a parameter.
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 49J35
Mathematics Subject Classification ID: 49J52
zbMATH DE Number: 4140621
zbMATH Keywords: shape gradient
zbMATH Keywords: shape optimization
zbMATH Keywords: Shape Sensitivity Analysis
author: Michel C. Delfour
author: J. P. Zolesio
MaRDI profile type: Publication
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OpenAlex ID: W2605007421
description: scientific article; zbMATH DE number 4140621