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ESAIM: Control, Optimisation and Calculus of Variations 20 (2) 576 (2014)
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Shape sensitivities in a Navier-Stokes flow with convective and grey bodies radiative thermal transfer

J. Monnier
Optimal Control Applications and Methods 24 (5) 237 (2003)
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Sensitivity analysis for optimal shape design problems

P. Neittaanmäki and K. Salmenjoki
Structural Optimization 1 (4) 241 (1989)
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Anatomy of the Shape Hessian

M. C. Delfour and J. P. Zolésio
Annali di Matematica Pura ed Applicata 159 (1) 315 (1991)
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An abstract Lagrangian framework for computing shape derivatives

Antoine Laurain, Pedro T.P. Lopes and Jean C. Nakasato
ESAIM: Control, Optimisation and Calculus of Variations 29 5 (2023)
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Optimizing supports for additive manufacturing

Grégoire Allaire and Beniamin Bogosel
Structural and Multidisciplinary Optimization 58 (6) 2493 (2018)
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Multiscale topology optimization of electromagnetic metamaterials using a high-contrast homogenization method

Naoki Murai, Yuki Noguchi, Kei Matsushima and Takayuki Yamada
Computer Methods in Applied Mechanics and Engineering 403 115728 (2023)
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Variation de forme pour une équation instationnaire du 4ème ordre dans un modèle de dislocations

Nicolas Van Goethem
Comptes Rendus Mathematique 349 (15-16) 923 (2011)
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Robust topology optimization of continuum structures under uncertain partial collapses

Jesús Martínez-Frutos and Rogelio Ortigosa
Computers & Structures 257 106677 (2021)
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Algorithmic Aspects of Multigrid Methods for Optimization in Shape Spaces

Martin Siebenborn and Kathrin Welker
SIAM Journal on Scientific Computing 39 (6) B1156 (2017)
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Stability of Solutions to Shape Estimation Problems*

Jan Sokolowski
Mechanics of Structures and Machines 21 (1) 67 (1993)
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The Topological Asymptotic for PDE Systems: The Elasticity Case

Stéphane Garreau, Philippe Guillaume and Mohamed Masmoudi
SIAM Journal on Control and Optimization 39 (6) 1756 (2001)
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On the active control of crack growth in elastic media

Patrick Hild, Arnaud Münch and Yves Ousset
Computer Methods in Applied Mechanics and Engineering 198 (3-4) 407 (2008)
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Homogenization based topology optimization of fluid-pressure loaded structures using the Biot–Darcy Model

Godfred Oheneba Agyekum, Laurent Cangémi and François Jouve
Optimization and Engineering (2023)
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A shape optimization algorithm based on directional derivatives for three‐dimensional contact problems

Bastien Chaudet‐Dumas
International Journal for Numerical Methods in Engineering 124 (13) 2935 (2023)
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Thermodynamic forces in single crystals with dislocations

Nicolas Van Goethem
Zeitschrift für angewandte Mathematik und Physik (2013)
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Variational surface cutting

Nicholas Sharp and Keenan Crane
ACM Transactions on Graphics 37 (4) 1 (2018)
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Control of Distributed Parameter Systems 1989

M.C. Delfour and J.-P. Zolésio
Control of Distributed Parameter Systems 1989 215 (1990)
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Advances in Structural Optimization

B. Rousselet, S. Mehrez, A. Myslinski and J. Piekarski
Solid Mechanics and Its Applications, Advances in Structural Optimization 25 381 (1995)
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Fracture resistance via topology optimization

Vivien J. Challis, Anthony P. Roberts and Andrew H. Wilkins
Structural and Multidisciplinary Optimization 36 (3) 263 (2008)
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Shape Optimization for Interface Identification with Obstacle Problems

Björn Führ, Volker Schulz and Kathrin Welker
Vietnam Journal of Mathematics 46 (4) 967 (2018)
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Uncertainty and Optimization in Structural Mechanics

Uncertainty and Optimization in Structural Mechanics 125 (2013)
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Certified PDE-constrained parameter optimization using reduced basis surrogate models for evolution problems

Markus A. Dihlmann and Bernard Haasdonk
Computational Optimization and Applications 60 (3) 753 (2015)
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Taking into account thermal residual stresses in topology optimization of structures built by additive manufacturing

Grégoire Allaire and Lukas Jakabčin
Mathematical Models and Methods in Applied Sciences 28 (12) 2313 (2018)
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Control of Distributed Parameter Systems 1989

M.C. Delfour
Control of Distributed Parameter Systems 1989 35 (1990)
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Free Boundary Problems

Grégoire Allaire, François Jouve and Anca-Maria Toader
Free Boundary Problems 1 (2003)
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Design Sensitivity Analysis for State-Constrained Structural Design Problems∗

P. Neittaanmäki
Mechanics of Structures and Machines 20 (4) 433 (1992)
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Optimization of the shape of regions supporting boundary conditions

Charles Dapogny, Nicolas Lebbe and Edouard Oudet
Numerische Mathematik 146 (1) 51 (2020)
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Shape and parameter reconstruction for the Robin transmission inverse problem

Antoine Laurain and Houcine Meftahi
Journal of Inverse and Ill-posed Problems 24 (6) 643 (2016)
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Level set topology optimization of fluids in Stokes flow

Vivien J. Challis and James K. Guest
International Journal for Numerical Methods in Engineering 79 (10) 1284 (2009)
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Optimal location of the support of the control for the 1-D wave equation: numerical investigations

Arnaud Münch
Computational Optimization and Applications 42 (3) 443 (2009)
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Additive manufacturing scanning paths optimization using shape optimization tools

M. Boissier, G. Allaire and C. Tournier
Structural and Multidisciplinary Optimization 61 (6) 2437 (2020)
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Versatile anisotropic mesh adaptation methodology applied to pure quantity of interest error estimator. Steady, laminar incompressible flow

Alexandre Carrier, Jean Deteix and André Fortin
International Journal for Numerical Methods in Fluids 92 (5) 436 (2020)
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Damien Schmitt, Grégoire Allaire, Olivier Pantz, Nicolas Pozin, D. Caruge, C. Calvin, C.M. Diop, F. Malvagi and J.-C. Trama
02206 (2014)
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Removing holes in topological shape optimization

Philippe Guillaume and Maatoug Hassine
ESAIM: Control, Optimisation and Calculus of Variations 14 (1) 160 (2008)
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New Trends in Shape Optimization

A. Paganini
International Series of Numerical Mathematics, New Trends in Shape Optimization 166 217 (2015)
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Numerical Modeling of Electrowetting by a Shape Inverse Approach

Jérôme Monnier, Patrick Witomski, Patrick Chow-Wing-Bom and Claire Scheid
SIAM Journal on Applied Mathematics 69 (5) 1477 (2009)
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A linearized approach to worst-case design in parametric and geometric shape optimization

Grégoire Allaire and Charles Dapogny
Mathematical Models and Methods in Applied Sciences 24 (11) 2199 (2014)
DOI: 10.1142/S0218202514500195
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