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Xuandong Lu, Yongming Liu
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Optimal shape design as a material distribution problem
10.1007/bf01650949 · 1989
Topology optimization approaches: a comparative review
10.1007/s00158-013-0978-6 · 2013
Pixel-based shape optimization in 3D using constrained density-based topology optimization
2025
Density-based topology optimization using a deformable mesh
10.1016/j.compstruc.2025.107879 · 2025
Real-time stress-based topology optimization via deep learning
10.1016/j.tws.2022.110055 · 2022
Deep learning for determining a near-optimal topological design without any iteration
10.1007/s00158-018-2101-5 · 2019
3D topology optimization using convolutional neural networks
2018
A physics-informed neural network-based topology optimization (PINNTO) framework for structural optimization
10.1016/j.engstruct.2022.115484 · 2023
Machine learning for topology optimization: physics-based learning through an independent training strategy
10.1016/j.cma.2022.115116 · 2022
Convolutional neural network-based topology optimization (CNN-TO) by estimating sensitivity of compliance from material distribution
2019
On the use of artificial neural networks in topology optimisation
2022
An efficient 146-line 3D sensitivity analysis code of stress-based topology optimization written in MATLAB
10.1007/s11081-021-09675-3 · 2022
Filters in topology optimization based on Helmholtz-type differential equations
10.1002/nme.3072 · 2011
Efficient topology optimization in MATLAB using 88 lines of code
10.1007/s00158-010-0594-7 · 2011
TOuNN: topology optimization using neural networks
10.1007/s00158-020-02748-4 · 2021
Neural reparameterization improves structural optimization
2019
TONR: an exploration for a novel way combining neural network with topology optimization
10.1016/j.cma.2021.114083 · 2021
Neural-reparameterized topology optimization using convolutional Kolmogorov-Arnold network for stress minimization
10.1002/nme.70034 · 2025
An indirect design representation for topology optimization using variational autoencoder and style transfer
2018
A latent space approach to multi-material topology optimization: S. Sridhara et al
10.1007/s00158-025-04225-2 · 2026
Physically reliable 3D styled shape generation via structure-aware topology optimization in unified latent space
10.1016/j.cad.2025.103864 · 2025
Research on multi-stage topology optimization method based on latent diffusion model
10.1016/j.aei.2024.102966 · 2025
Generating diverse high-fidelity images with VQ-VAE-2
2019
Neural discrete representation learning
2017
Accelerated topology optimization design of 3D structures based on deep learning
10.1007/s00158-022-03194-0 · 2022
A deep convolutional neural network for topology optimization with perceptible generalization ability
10.1080/0305215x.2021.1902998 · 2022
Structural topology optimization based on deep learning
10.1016/j.jcp.2024.113506 · 2025
On projection methods, convergence and robust formulations in topology optimization
10.1007/s00158-010-0602-y · 2011
A continuous topology optimization framework using an explicit binarization constraint
10.1016/j.cma.2025.118724 · 2026
On multigrid-CG for efficient topology optimization
10.1007/s00158-013-1015-5 · 2014
Three-field floating projection topology optimization of continuum structures
10.1016/j.cma.2022.115444 · 2022
Three-field floating projection topology optimization of continuum structures
10.1016/j.cma.2022.115444 · doi-reference
On multigrid-CG for efficient topology optimization
10.1007/s00158-013-1015-5 · doi-reference
A continuous topology optimization framework using an explicit binarization constraint
10.1016/j.cma.2025.118724 · doi-reference
On projection methods, convergence and robust formulations in topology optimization
10.1007/s00158-010-0602-y · doi-reference
Structural topology optimization based on deep learning
10.1016/j.jcp.2024.113506 · doi-reference
A deep convolutional neural network for topology optimization with perceptible generalization ability
10.1080/0305215x.2021.1902998 · doi-reference
Accelerated topology optimization design of 3D structures based on deep learning
10.1007/s00158-022-03194-0 · doi-reference
Research on multi-stage topology optimization method based on latent diffusion model
10.1016/j.aei.2024.102966 · doi-reference
Physically reliable 3D styled shape generation via structure-aware topology optimization in unified latent space
10.1016/j.cad.2025.103864 · doi-reference
A latent space approach to multi-material topology optimization: S. Sridhara et al
10.1007/s00158-025-04225-2 · doi-reference
Neural-reparameterized topology optimization using convolutional Kolmogorov-Arnold network for stress minimization
10.1002/nme.70034 · doi-reference
TONR: an exploration for a novel way combining neural network with topology optimization
10.1016/j.cma.2021.114083 · doi-reference
TOuNN: topology optimization using neural networks
10.1007/s00158-020-02748-4 · doi-reference
Efficient topology optimization in MATLAB using 88 lines of code
10.1007/s00158-010-0594-7 · doi-reference
Filters in topology optimization based on Helmholtz-type differential equations
10.1002/nme.3072 · doi-reference
An efficient 146-line 3D sensitivity analysis code of stress-based topology optimization written in MATLAB
10.1007/s11081-021-09675-3 · doi-reference
Machine learning for topology optimization: physics-based learning through an independent training strategy
10.1016/j.cma.2022.115116 · doi-reference
A physics-informed neural network-based topology optimization (PINNTO) framework for structural optimization
10.1016/j.engstruct.2022.115484 · doi-reference
Deep learning for determining a near-optimal topological design without any iteration
10.1007/s00158-018-2101-5 · doi-reference
Real-time stress-based topology optimization via deep learning
10.1016/j.tws.2022.110055 · doi-reference
Density-based topology optimization using a deformable mesh
10.1016/j.compstruc.2025.107879 · doi-reference
Topology optimization approaches: a comparative review
10.1007/s00158-013-0978-6 · doi-reference
Optimal shape design as a material distribution problem
10.1007/bf01650949 · doi-reference