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Shape optimization
Known as:
OSD
, Material Optimization
, Structural optimization
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Shape optimization is part of the field of optimal control theory. The typical problem is to find the shape which is optimal in that it minimizes a…
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Related topics
Related topics
16 relations
Computational fluid dynamics
Constraint (mathematics)
Gradient descent
Infinite-dimensional optimization
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Broader (1)
Mathematical optimization
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2004
Highly Cited
2004
Structural optimization using sensitivity analysis and a level-set method
G. Allaire
,
F. Jouve
,
Anca-Maria Toader
2004
Corpus ID: 14955158
Highly Cited
2003
Highly Cited
2003
Introduction to shape optimization - theory, approximation, and computation
J. Haslinger
,
R. Mäkinen
Advances in design and control
2003
Corpus ID: 117730808
Preface Notation Introduction Part I. Mathematical aspects of sizing and shape optimization. 1. Why the mathematical analysis is…
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Highly Cited
2002
Highly Cited
2002
The particle swarm optimization algorithm in size and shape optimization
P. Fourie
,
A. Groenwold
2002
Corpus ID: 55854552
Abstract.Shape and size optimization problems instructural design are addressed using the particle swarm optimization algorithm…
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Highly Cited
2002
Highly Cited
2002
Multipoint and Multi-Objective Aerodynamic Shape Optimization
M. Nemec
,
D. Zingg
,
T. Pulliam
2002
Corpus ID: 15109459
A Newton‐Krylov algorithm is presented for the aerodynamic optimization of singleand multi-element airfoil configurations. The…
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Highly Cited
2002
Highly Cited
2002
A level-set method for shape optimization
G. Allaire
,
F. Jouve
,
Anca-Maria Toader
2002
Corpus ID: 2492805
Highly Cited
2001
Highly Cited
2001
Applied Shape Optimization for Fluids
B. Mohammadi
,
O. Pironneau
2001
Corpus ID: 221322532
Introduction 1. Optimal Shape Design 2. Partial Differential Equations for Fluids 3. Some Numerical Methods for Fluids and…
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Highly Cited
1999
Highly Cited
1999
Material interpolation schemes in topology optimization
M. Bendsøe
,
O. Sigmund
1999
Corpus ID: 11368603
Summary In topology optimization of structures, materials and mechanisms, parametrization of geometry is often performed by a…
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Highly Cited
1993
Highly Cited
1993
Structural topology and shape optimization for a frequency response problem
Zheng-Dong Ma
,
N. Kikuchi
,
I. Hagiwara
1993
Corpus ID: 121512461
A topology and shape optimization technique using the homogenization method was developed for stiffness of a linearly elastic…
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Highly Cited
1992
Highly Cited
1992
Introduction to shape optimization : shape sensitivity analysis
J. Sokołowski
,
J. Zolésio
1992
Corpus ID: 118509233
This book presents modern functional analysis methods for the sensitivity analysis of some infinite-dimensional systems governed…
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Highly Cited
1992
Highly Cited
1992
Introduction to shape optimization
J. Sokołowski
,
J. Zolésio
1992
Corpus ID: 118997599
This book is motivated largely by a desire to solve shape optimization problems that arise in applications, particularly in…
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