EDP Sciences logo
Subscriber Authentication Point
Sciengine logo
Search
Menu
All issues ESAIM: M2AN, 20 3 (1986) 371-402 Article references

Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

A remark on self-adjoint problems in the optimization of non-linear models

Grégoire Allaire, Théodore Cherrière, Thomas Gauthey, Maya Hage Hassan and Xavier Mininger
Journal of Optimization Theory and Applications 208 (3) (2026)
https://doi.org/10.1007/s10957-025-02928-6

A Shape Optimization Approach for Inferring Sources of Volcano Ground Deformation

Théo Perrot, Freysteinn Sigmundsson and Charles Dapogny
Geophysical Research Letters 53 (7) (2026)
https://doi.org/10.1029/2025GL120764

A novel shape optimization approach for source identification in elliptic equations

Wei Gong and Ziyi Zhang
Inverse Problems and Imaging 21 126 (2026)
https://doi.org/10.3934/ipi.2025037

A sequential approach combining topology and shape optimization for nonlinear 3D magnetostatics

Zakaria Houta, Nicolas Lebbe, Thomas Huguet and Frédéric Messine
Structural and Multidisciplinary Optimization 69 (4) (2026)
https://doi.org/10.1007/s00158-026-04283-0

DiffLiB: high-fidelity differentiable modeling of lithium-ion batteries and efficient gradient-based parameter identification

Weipeng Xu, Kaiqi Yang, Yuzhi Zhang, Wenchang Zhang, Shichao Sun, Sheng Mao and Tianju Xue
Structural and Multidisciplinary Optimization 69 (4) (2026)
https://doi.org/10.1007/s00158-026-04286-x

Numerical shape and topology optimization of regions supporting the boundary conditions of a physical problem

Eric Bonnetier, Carlos Brito-Pacheco, Charles Dapogny and Rafael Estevez
ESAIM: Control, Optimisation and Calculus of Variations 31 75 (2025)
https://doi.org/10.1051/cocv/2025061

In-situ physical adjoint computing in multiple-scattering electromagnetic environments for wave control

John Guillamon, Cheng-Zhen Wang, Zin Lin and Tsampikos Kottos
Nature Communications 16 (1) (2025)
https://doi.org/10.1038/s41467-025-66385-5

Inversion of impact-echo data using a shape optimization approach

Colin Commandeur, Christiaan C. Stolk, Rudolf Sprik and Gerard Louwerse
Optimization and Engineering 26 (4) 2373 (2025)
https://doi.org/10.1007/s11081-025-09957-0

GridapTopOpt.jl: a scalable Julia toolbox for level set-based topology optimisation

Zachary J. Wegert, Jordi Manyer, Connor N. Mallon, Santiago Badia and Vivien J. Challis
Structural and Multidisciplinary Optimization 68 (1) (2025)
https://doi.org/10.1007/s00158-024-03927-3

Gradient Descent‐Based Local Equivalent Resistivity Identification for Fuel Cell Diagnosis by Magnetic Tomography

Leonard Freisem, Olivier Chadebec, Gilles Cauffet, Sebastien Rosini and Yann Bultel
International Journal for Numerical Methods in Engineering 126 (21) (2025)
https://doi.org/10.1002/nme.70168

Solving elliptic optimal control problems via neural networks and optimality system

Yongcheng Dai, Bangti Jin, Ramesh Chandra Sau and Zhi Zhou
Advances in Computational Mathematics 51 (4) (2025)
https://doi.org/10.1007/s10444-025-10241-z

Optimal design of vertical slot fishways by using shallow water equations

Mostafa Kadiri, Mohammed Louaked and Houari Mechkour
Results in Control and Optimization 20 100582 (2025)
https://doi.org/10.1016/j.rico.2025.100582

Level-set topology optimisation with unfitted finite elements and automatic shape differentiation

Zachary J. Wegert, Jordi Manyer, Connor N. Mallon, Santiago Badia and Vivien J. Challis
Computer Methods in Applied Mechanics and Engineering 445 118203 (2025)
https://doi.org/10.1016/j.cma.2025.118203

Shape Optimization of Polynomial Functionals under Uncertainties on the Right-Hand Side of the State Equation

Fabien Caubet, Marc Dambrine, Giulio Gargantini and Jérôme Maynadier
SIAM Journal on Control and Optimization 63 (4) 2632 (2025)
https://doi.org/10.1137/24M1666744

Adjoint-aided homogenisation for flows through heterogeneous membranes

Kevin Wittkowski, Edouard Boujo, François Gallaire and Giuseppe Antonio Zampogna
Journal of Fluid Mechanics 1011 (2025)
https://doi.org/10.1017/jfm.2025.277

Shape derivatives in bi-material level-set optimization with a precise interface: a comparative study

Majd Kosta and Oded Amir
Structural and Multidisciplinary Optimization 68 (8) (2025)
https://doi.org/10.1007/s00158-025-04095-8

Geometric optimization of a lithium-ion battery with the Doyle–Fuller–Newman model

Richard Joly, Grégoire Allaire and Romain De Loubens
Journal of Computational Physics 543 114390 (2025)
https://doi.org/10.1016/j.jcp.2025.114390

Homogenization based topology optimization of a coupled thermal fluid-structure problem

Godfred Oheneba Agyekum, Laurent Cangémi and François Jouve
Computers & Structures 308 107636 (2025)
https://doi.org/10.1016/j.compstruc.2024.107636

Solid Isotropic Material with Penalization-Based Topology Optimization of Three-Dimensional Magnetic Circuits with Mechanical Constraints

Zakaria Houta, Thomas Huguet, Nicolas Lebbe and Frédéric Messine
Mathematics 12 (8) 1147 (2024)
https://doi.org/10.3390/math12081147

Imagerie d’interface barrage-fondation par inversion de forme d'onde complète

Mohamed Aziz Boukraa, Lorenzo Audibert, Marcella Bonazzoli, Houssem Haddar, Denis Vautrin, F. Asfirane and J.-L. Mari
E3S Web of Conferences 504 04002 (2024)
https://doi.org/10.1051/e3sconf/202450404002

Multi-objective shape optimization of TESLA-like cavities: Addressing stochastic Maxwell's eigenproblem constraints

Piotr Putek, Shahnam Gorgi Zadeh and Ursula van Rienen
Journal of Computational Physics 513 113125 (2024)
https://doi.org/10.1016/j.jcp.2024.113125

Multimaterial filtering applied to the topology optimization of a permanent magnet synchronous machine

Théodore Cherrière, Sami Hlioui, François Louf and Luc Laurent
COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 43 (4) 852 (2024)
https://doi.org/10.1108/COMPEL-10-2023-0546

Optimal design of wheel rim in elastic mechanics

Thi Thanh Mai Ta and Quang Huy Nguyen
International Journal of Advances in Engineering Sciences and Applied Mathematics 16 (3) 220 (2024)
https://doi.org/10.1007/s12572-023-00362-3

Hybrid neural-network FEM approximation of diffusion coefficient in elliptic and parabolic problems

Siyu Cen, Bangti Jin, Qimeng Quan and Zhi Zhou
IMA Journal of Numerical Analysis 44 (5) 3059 (2024)
https://doi.org/10.1093/imanum/drad073

Level Set and Optimal Control for the Inverse Inclusion Reconstruction in Electrical Impedance Tomography Modeling

Abderrahim Charkaoui and Youness El Yazidi
International Journal of Computational Methods 21 (01) (2024)
https://doi.org/10.1142/S0219876223500202

Magneto-Mechanical Topology Optimization With Generalized Optimality Criteria

Alessandro Silvestrini, Maya Hage Hassan, Xavier Mininger, Guillaume Krebs and Philippe Dessante
IEEE Transactions on Magnetics 60 (3) 1 (2024)
https://doi.org/10.1109/TMAG.2023.3338422

SDYN-GANs: Adversarial learning methods for multistep generative models for general order stochastic dynamics

P. Stinis, C. Daskalakis and P.J. Atzberger
Journal of Computational Physics 519 113442 (2024)
https://doi.org/10.1016/j.jcp.2024.113442

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 25 (1) 459 (2024)
https://doi.org/10.1007/s11081-023-09811-1

Illustrated tutorial on global optimization in nanophotonics

Pauline Bennet, Denis Langevin, Chaymae Essoual, Abdourahman Khaireh-Walieh, Olivier Teytaud, Peter Wiecha and Antoine Moreau
Journal of the Optical Society of America B 41 (2) A126 (2024)
https://doi.org/10.1364/JOSAB.506389

Robust Level-Set-Based Topology Optimization Under Uncertainties Using Anchored ANOVA Petrov–Galerkin Method

Christophe Audouze, Aaron Klein, Adrian Butscher, Nigel Morris, Prasanth Nair and Masayuki Yano
SIAM/ASA Journal on Uncertainty Quantification 11 (3) 877 (2023)
https://doi.org/10.1137/22M1524722

Efficient Cone Singularity Construction for Conformal Parameterizations

Mo Li, Qing Fang, Zheng Zhang, Ligang Liu and Xiao-Ming Fu
ACM Transactions on Graphics 42 (6) 1 (2023)
https://doi.org/10.1145/3618407

Level set‐based shape optimization approach for the inverse optical tomography problem

Zakaria Belhachmi, Rabeb Dhif and Houcine Meftahi
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 103 (3) (2023)
https://doi.org/10.1002/zamm.202200156

Concurrent Shape Optimization of the Part and Scanning Path for Powder Bed Fusion Additive Manufacturing

Mathilde Boissier, Grégoire Allaire and Christophe Tournier
SIAM Journal on Control and Optimization 61 (2) 697 (2023)
https://doi.org/10.1137/21M1461976

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)
https://doi.org/10.1002/nme.7235

A Hilbertian projection method for constrained level set-based topology optimisation

Zachary J. Wegert, Anthony P. Roberts and Vivien J. Challis
Structural and Multidisciplinary Optimization 66 (9) (2023)
https://doi.org/10.1007/s00158-023-03663-0

Level set-based shape optimization of deformable structures for achieving desired sound transmission and reflective responses

Yuki Noguchi and Takayuki Yamada
Computer Methods in Applied Mechanics and Engineering 414 116190 (2023)
https://doi.org/10.1016/j.cma.2023.116190

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)
https://doi.org/10.1016/j.cma.2022.115728

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)
https://doi.org/10.1051/cocv/2022078

Topology optimization of supports with imperfect bonding in additive manufacturing

Grégoire Allaire, Beniamin Bogosel and Matías Godoy
Structural and Multidisciplinary Optimization 65 (10) (2022)
https://doi.org/10.1007/s00158-022-03284-z

Density-based shape optimization of 3D structures with mean curvature constraints

Ronald Bartz, Thilo Franke, Sierk Fiebig and Thomas Vietor
Structural and Multidisciplinary Optimization 65 (1) (2022)
https://doi.org/10.1007/s00158-021-03089-6

Design of thin micro-architectured panels with extension–bending coupling effects using topology optimization

Filippo Agnelli, Grigor Nika and Andrei Constantinescu
Computer Methods in Applied Mechanics and Engineering 391 114496 (2022)
https://doi.org/10.1016/j.cma.2021.114496

Methodology for a Numerical Multidimensional Optimization of a Mixer Coupled to a Compressor for Its Integrationin a Hyperloop Vehicle

José Galindo, Vicente Dolz, Roberto Navarro, Borja Pallás and Germán Torres
Applied Sciences 12 (24) 12795 (2022)
https://doi.org/10.3390/app122412795

Shape identification of scatterers Using a time-dependent adjoint method

Amit Sayag and Dan Givoli
Computer Methods in Applied Mechanics and Engineering 394 114923 (2022)
https://doi.org/10.1016/j.cma.2022.114923

Improved Discrete Boundary Type Shape Gradients for PDE-constrained Shape Optimization

Wei Gong, Jiajie Li and Shengfeng Zhu
SIAM Journal on Scientific Computing 44 (4) A2464 (2022)
https://doi.org/10.1137/21M1457400

Part and supports optimization in metal powder bed additive manufacturing using simplified process simulation

Martin Bihr, Grégoire Allaire, Xavier Betbeder-Lauque, Beniamin Bogosel, Felipe Bordeu and Julie Querois
Computer Methods in Applied Mechanics and Engineering 395 114975 (2022)
https://doi.org/10.1016/j.cma.2022.114975

Shape optimization of a linearly elastic rolling structure under unilateral contact using Nitsche’s method and cut finite elements

Elie Bretin, Julien Chapelat, Pierre-Yves Outtier and Yves Renard
Computational Mechanics 70 (1) 205 (2022)
https://doi.org/10.1007/s00466-022-02164-z

Topology optimization of structures undergoing brittle fracture

Jeet Desai, Grégoire Allaire and François Jouve
Journal of Computational Physics 458 111048 (2022)
https://doi.org/10.1016/j.jcp.2022.111048

Optimal Control of Partial Differential Equations

Andrea Manzoni, Alfio Quarteroni and Sandro Salsa
Applied Mathematical Sciences, Optimal Control of Partial Differential Equations 207 373 (2021)
https://doi.org/10.1007/978-3-030-77226-0_11

Topology optimization in quasi-static plasticity with hardening using a level-set method

Jeet Desai, Grégoire Allaire, François Jouve and Chetra Mang
Structural and Multidisciplinary Optimization 64 (5) 3163 (2021)
https://doi.org/10.1007/s00158-021-03034-7

Shape optimization of hydrodynamic textured surfaces for enhancing load-carrying capacity based on level set method

Tu Zhirong, Meng Xiangkai, Ma Yi and Peng Xudong
Tribology International 162 107136 (2021)
https://doi.org/10.1016/j.triboint.2021.107136

Topology optimization of acoustic metasurfaces by using a two-scale homogenization method

Yuki Noguchi and Takayuki Yamada
Applied Mathematical Modelling 98 465 (2021)
https://doi.org/10.1016/j.apm.2021.05.005

Shape Optimization for Superconductors Governed by H(curl)-Elliptic Variational Inequalities

Antoine Laurain, Malte Winckler and Irwin Yousept
SIAM Journal on Control and Optimization 59 (3) 2247 (2021)
https://doi.org/10.1137/19M1294150

Level set-based topology optimization for graded acoustic metasurfaces using two-scale homogenization

Yuki Noguchi and Takayuki Yamada
Finite Elements in Analysis and Design 196 103606 (2021)
https://doi.org/10.1016/j.finel.2021.103606

Propagation for KPP bulk-surface systems in a general cylindrical domain

Beniamin Bogosel, Thomas Giletti and Andrea Tellini
Nonlinear Analysis 213 112528 (2021)
https://doi.org/10.1016/j.na.2021.112528

Shape Optimization of an Imperfect Interface: Steady-State Heat Diffusion

Grégoire Allaire, Beniamin Bogosel and Matías Godoy
Journal of Optimization Theory and Applications 191 (1) 169 (2021)
https://doi.org/10.1007/s10957-021-01928-6

Elastoplastic topology optimization of cyclically loaded structures via direct methods for shakedown

Mathilde Boissier, Joshua D. Deaton, Philip A. Beran and Natasha Vermaak
Structural and Multidisciplinary Optimization 64 (1) 189 (2021)
https://doi.org/10.1007/s00158-021-02875-6

Reconstruction of contact regions in semiconductor transistors using Dirichlet-Neumann cost functional approach

Mourad Hrizi and Maatoug Hassine
Applicable Analysis 100 (4) 893 (2021)
https://doi.org/10.1080/00036811.2019.1623393

An iterative method for optimal control of bilateral free boundaries problem

Youness El Yazidi and Abdellatif Ellabib
Mathematical Methods in the Applied Sciences 44 (14) 11664 (2021)
https://doi.org/10.1002/mma.7527

Additive manufacturing scanning paths optimization using shape optimization tools

M. Boissier, G. Allaire and C. Tournier
Structural and Multidisciplinary Optimization 61 (6) 2437 (2020)
https://doi.org/10.1007/s00158-020-02614-3

Topological sensitivity analysis for a three-dimensional parabolic type problem

Emna Ghezaiel, Mohamed Abdelwahed, Nejmeddine Chorfi and Maatoug Hassine
Asymptotic Analysis 120 (3-4) 249 (2020)
https://doi.org/10.3233/ASY-191587

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)
https://doi.org/10.1002/fld.4790

Design of multi-layer materials using inverse homogenization and a level set method

Grigor Nika and Andrei Constantinescu
Computer Methods in Applied Mechanics and Engineering 346 388 (2019)
https://doi.org/10.1016/j.cma.2018.11.029

Structural optimization under internal porosity constraints using topological derivatives

J. Martínez-Frutos, G. Allaire, C. Dapogny and F. Periago
Computer Methods in Applied Mechanics and Engineering 345 1 (2019)
https://doi.org/10.1016/j.cma.2018.10.036

Shape and topology optimization considering anisotropic features induced by additive manufacturing processes

Charles Dapogny, Rafael Estevez, Alexis Faure and Georgios Michailidis
Computer Methods in Applied Mechanics and Engineering 344 626 (2019)
https://doi.org/10.1016/j.cma.2018.09.036

Topology optimization of modulated and oriented periodic microstructures by the homogenization method

Grégoire Allaire, Perle Geoffroy-Donders and Olivier Pantz
Computers & Mathematics with Applications 78 (7) 2197 (2019)
https://doi.org/10.1016/j.camwa.2018.08.007

Shape optimization of a coupled thermal fluid–structure problem in a level set mesh evolution framework

F. Feppon, G. Allaire, F. Bordeu, J. Cortial and C. Dapogny
SeMA Journal 76 (3) 413 (2019)
https://doi.org/10.1007/s40324-018-00185-4

Shape optimization for Stokes flows using sensitivity analysis and finite element method

Thi Thanh Mai Ta, Van Chien Le and Ha Thanh Pham
Applied Numerical Mathematics 126 160 (2018)
https://doi.org/10.1016/j.apnum.2017.12.009

Elasto-plastic Shape Optimization Using the Level Set Method

Aymeric Maury, Grégoire Allaire and François Jouve
SIAM Journal on Control and Optimization 56 (1) 556 (2018)
https://doi.org/10.1137/17M1128940

An Equilibrated Fluxes Approach to the Certified Descent Algorithm for Shape Optimization Using Conforming Finite Element and Discontinuous Galerkin Discretizations

Matteo Giacomini
Journal of Scientific Computing 75 (1) 560 (2018)
https://doi.org/10.1007/s10915-017-0545-1

Optimum Experimental Design by Shape Optimization of Specimens in Linear Elasticity

Tommy Etling and Roland Herzog
SIAM Journal on Applied Mathematics 78 (3) 1553 (2018)
https://doi.org/10.1137/17M1147743

Topology optimization for hyperbolic acoustic metamaterials using a high-frequency homogenization method

Yuki Noguchi, Takayuki Yamada, Kazuhiro Izui and Shinji Nishiwaki
Computer Methods in Applied Mechanics and Engineering 335 419 (2018)
https://doi.org/10.1016/j.cma.2018.02.031

A consistent relaxation of optimal design problems for coupling shape and topological derivatives

Samuel Amstutz, Charles Dapogny and Àlex Ferrer
Numerische Mathematik 140 (1) 35 (2018)
https://doi.org/10.1007/s00211-018-0964-4

Evolutionary topology optimization of continuum structures under uncertainty using sensitivity analysis and smooth boundary representation

Jesús Martínez-Frutos and David Herrero-Pérez
Computers & Structures 205 15 (2018)
https://doi.org/10.1016/j.compstruc.2018.05.003

Optimal Control of PDEs under Uncertainty

Jesús Martínez-Frutos and Francisco Periago Esparza
SpringerBriefs in Mathematics, Optimal Control of PDEs under Uncertainty 91 (2018)
https://doi.org/10.1007/978-3-319-98210-6_6

Risk-averse structural topology optimization under random fields using stochastic expansion methods

Jesús Martínez-Frutos, David Herrero-Pérez, Mathieu Kessler and Francisco Periago
Computer Methods in Applied Mechanics and Engineering 330 180 (2018)
https://doi.org/10.1016/j.cma.2017.10.026

Shape Optimization for Interface Identification with Obstacle Problems

Björn Führ, Volker Schulz and Kathrin Welker
Vietnam Journal of Mathematics 46 (4) 967 (2018)
https://doi.org/10.1007/s10013-018-0312-0

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)
https://doi.org/10.1142/S0218202518500501

Modal basis approaches in shape and topology optimization of frequency response problems

Grégoire Allaire and Georgios Michailidis
International Journal for Numerical Methods in Engineering 113 (8) 1258 (2018)
https://doi.org/10.1002/nme.5504

Optimum design of an acoustic metamaterial with negative bulk modulus in an acoustic‐elastic coupled system using a level set–based topology optimization method

Yuki Noguchi, Takayuki Yamada, Kazuhiro Izui and Shinji Nishiwaki
International Journal for Numerical Methods in Engineering 113 (8) 1300 (2018)
https://doi.org/10.1002/nme.5616