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Functional level-set derivative for a polymer self consistent field theory Hamiltonian
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Fréchet differentiability of the elasto‐acoustic scattered field with respect to Lipschitz domains
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Shape optimization of a Helmholtz resonator using an adjoint method
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Maximal and minimal norm of Laplacian eigenfunctions in a given subdomain
Robust shape optimization of continuous structures via the level set method
Jesús Martínez-Frutos, David Herrero-Pérez, Mathieu Kessler and Francisco Periago Computer Methods in Applied Mechanics and Engineering 305 271 (2016) https://doi.org/10.1016/j.cma.2016.03.003
Multi-phase structural optimizationviaa level set method
G. Allaire, C. Dapogny, G. Delgado and G. Michailidis ESAIM: Control, Optimisation and Calculus of Variations 20(2) 576 (2014) https://doi.org/10.1051/cocv/2013076
Shape optimization for the generalized Graetz problem
Frédéric de Gournay, Jérôme Fehrenbach and Franck Plouraboué Structural and Multidisciplinary Optimization 49(6) 993 (2014) https://doi.org/10.1007/s00158-013-1032-4
Shape Optimization by Free-Form Deformation: Existence Results and Numerical Solution for Stokes Flows
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) https://doi.org/10.1142/S0218202514500195
Damien Schmitt, Grégoire Allaire, Olivier Pantz, Nicolas Pozin, D. Caruge, C. Calvin, C.M. Diop, F. Malvagi and J.-C. Trama 02206 (2014) https://doi.org/10.1051/snamc/201402206
Modelling and shape optimization of an actuator
Charles-Henri Bruneau, Frédéric Chantalat, Angelo Iollo, Bastien Jordi and Iraj Mortazavi Structural and Multidisciplinary Optimization 48(6) 1143 (2013) https://doi.org/10.1007/s00158-013-0949-y
Thermodynamic forces in single crystals with dislocations
Computationally generated cross-property bounds for stiffness and fluid permeability using topology optimization
Vivien J. Challis, James K. Guest, Joseph F. Grotowski and Anthony P. Roberts International Journal of Solids and Structures 49(23-24) 3397 (2012) https://doi.org/10.1016/j.ijsolstr.2012.07.019
Shape optimization for viscous flows by reduced basis methods and free‐form deformation
Andrea Manzoni, Alfio Quarteroni and Gianluigi Rozza International Journal for Numerical Methods in Fluids 70(5) 646 (2012) https://doi.org/10.1002/fld.2712
Material and Shape Derivative Method for Quasi-Linear Elliptic Systems with Applications in Inverse Electromagnetic Interface Problems
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) https://doi.org/10.1137/050624340
Level-set, penalization and cartesian meshes: A paradigm for inverse problems and optimal design
Frédéric Chantalat, Charles-Henri Bruneau, Cédric Galusinski and Angelo Iollo Journal of Computational Physics 228(17) 6291 (2009) https://doi.org/10.1016/j.jcp.2009.05.017
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) https://doi.org/10.1002/nme.2616
Optimal location of the support of the control for the 1-D wave equation: numerical investigations
High order shape design sensitivity: a unified approach
F. Navarrina, S. López-Fontán, I. Colominas, E. Bendito and M. Casteleiro Computer Methods in Applied Mechanics and Engineering 188(4) 681 (2000) https://doi.org/10.1016/S0045-7825(99)00355-2
Identification of Geological Shapes in Reservoir Engineering By History Matching Production Data
Daniel Rahon, Paul Francis Edoa and Mohamed Masmoudi SPE Reservoir Evaluation & Engineering 2(05) 470 (1999) https://doi.org/10.2118/57922-PA
Structural shape optimization using msc/nastran and sequential quadratic programming
B. Rousselet, S. Mehrez, A. Myslinski and J. Piekarski Solid Mechanics and Its Applications, Advances in Structural Optimization 25 381 (1995) https://doi.org/10.1007/978-94-011-0453-1_11
Generalized implicit function theorems and problems with a free boundary
Velocity Method and Lagrangian Formulation for the Computation of the Shape Hessian
Michel C. Delfour and Jean-Paul Zolésio SIAM Journal on Control and Optimization 29(6) 1414 (1991) https://doi.org/10.1137/0329072
A general methodological analysis for optimum design
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M. C. Delfour and J. P. Zolésio Lecture Notes in Control and Information Sciences, Stabilization of Flexible Structures 147 255 (1990) https://doi.org/10.1007/BFb0005159
B. Rousselet Lecture Notes in Control and Information Sciences, Control of Partial Differential Equations 114 255 (1989) https://doi.org/10.1007/BFb0002599
Shape Analysis and Optimization in Distributed Parameter Systems
M. C. Delfour and J. P. Zolésio Lecture Notes in Control and Information Sciences, Control of Boundaries and Stabilization 125 95 (1989) https://doi.org/10.1007/BFb0043355
Shape Sensitivity Analysis via Min Max Differentiability