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GridapTopOpt.jl: a scalable Julia toolbox for level set-based topology optimisation
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Homogenization based topology optimization of a coupled thermal fluid-structure problem
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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
Shape derivatives in bi-material level-set optimization with a precise interface: a comparative study
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
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
Optimal design of vertical slot fishways by using shallow water equations
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
Level Set and Optimal Control for the Inverse Inclusion Reconstruction in Electrical Impedance Tomography Modeling
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
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
Hybrid neural-network FEM approximation of diffusion coefficient in elliptic and parabolic problems
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
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
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
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 Hilbertian projection method for constrained level set-based topology optimisation
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
Ning Ding, Weize Chen, Zhengyan Zhang, Shengding Hu, Ganqu Cui, Yuan Yao, Yujia Qin, Zheni Zeng, Xu Han, Zhiyuan Liu, Yankai Lin and Maosong Sun 491 (2023) https://doi.org/10.1007/978-981-99-1600-9_14
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
Topology optimisation for robust design of large composite structures
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
Shape and topology optimal design problems in electromagnetic casting
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
Shape optimization of a linearly elastic rolling structure under unilateral contact using Nitsche’s method and cut finite elements
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
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
Reconstruction of contact regions in semiconductor transistors using Dirichlet-Neumann cost functional approach
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
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
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
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
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
Evolutionary topology optimization of continuum structures under uncertainty using sensitivity analysis and smooth boundary representation
An Equilibrated Fluxes Approach to the Certified Descent Algorithm for Shape Optimization Using Conforming Finite Element and Discontinuous Galerkin Discretizations
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
Shape Optimization for Interface Identification with Obstacle Problems
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
Shape optimization of a Helmholtz resonator using an adjoint method
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Design of thermoelastic multi-material structures with graded interfaces using topology optimization
A. Faure, G. Michailidis, G. Parry, N. Vermaak and R. Estevez Structural and Multidisciplinary Optimization 56(4) 823 (2017) https://doi.org/10.1007/s00158-017-1688-2
Certified Descent Algorithm for shape optimization driven by fully-computable a posteriori error estimators
Matteo Giacomini, Olivier Pantz and Karim Trabelsi ESAIM: Control, Optimisation and Calculus of Variations 23(3) 977 (2017) https://doi.org/10.1051/cocv/2016021
Fréchet differentiability of the elasto‐acoustic scattered field with respect to Lipschitz domains
Helene Barucq, Rabia Djellouli and Elodie Estecahandy Mathematical Methods in the Applied Sciences 40(2) 404 (2017) https://doi.org/10.1002/mma.3444
Optimal shape design in three-dimensional Brinkman flow using asymptotic analysis techniques