The shape and topological optimizations' connection
type: Item
instance of: scholarly article
title: The shape and topological optimizations' connection
zbMATH Open document ID: 0972.74057
DOI: 10.1016/S0045-7825(99)00357-6
author: R. Smith
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2001-01-11T00:00:00Z
Mathematics Subject Classification ID: 74P15
Mathematics Subject Classification ID: 74P10
Mathematics Subject Classification ID: 78M50
zbMATH DE Number: 1515645
zbMATH Keywords: linear elasticity
zbMATH Keywords: electromagnetics
zbMATH Keywords: topological shape optimization
zbMATH Keywords: fixed point method
zbMATH Keywords: Céa's method
zbMATH Keywords: topological gradient
zbMATH Keywords: cost function
zbMATH Keywords: optimality conditions
MaRDI profile type: Publication
cites work: The homogenization method for topology and shape optimization. Single and multiple loads case
cites work: Explicit optimal bounds on the elastic energy of a two-phase composite in two space dimensions
cites work: Optimal bounds on the effective behavior of a mixture of two well-ordered elastic materials
cites work: Q4293236
cites work: Conception optimale ou identification de formes, calcul rapide de la dérivée directionnelle de la fonction coût
cites work: Quelques résultats sur l'identification de domaines
cites work: Q4060829
cites work: Q4023365
cites work: Computation of high order derivatives in optimal shape design
cites work: Elliptische Randwertprobleme zweiter Ordnung in Gebieten mit einer Fehlstelle. (Elliptic boundary value problems of the second order in domains with a hole)
cites work: Q4023364
cites work: Mechanical inclusions identification by evolutionary computation
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cites work: Q3712658
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description: scientific article; zbMATH DE number 1515645