Concepedia

Problem-independent machine learning (PIML)-based topology optimization—A universal approach

Mengcheng Huang, Zongliang Du, Chang Liu, Yonggang Zheng, Tianchen Cui, Yue Mei, Xiao Li, Xiaoyu Zhang, Xu Guo

Extreme Mechanics Letters · 2022 · 83 citations · 38 references

DOI

Concepts

References

38

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Maziar Raissi, Paris Perdikaris, George Em Karniadakis · Journal of Computational Physics · 2018 · 16.9K citations · Full text

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A level set method for structural topology optimization

Michael Yu Wang, Xiaoming Wang, Dongming Guo · Computer Methods in Applied Mechanics and Engineering · 2002 · 3.2K citations

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Topology optimization approaches

Ole Sigmund, Kurt Maute · Structural and Multidisciplinary Optimization · 2013 · 2.8K citations

Structural optimization using sensitivity analysis and a level-set method

Grégoire Allaire, François Jouve, Anca-Maria Toader · Journal of Computational Physics · 2003 · 2.7K citations · Full text

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The COC algorithm, Part II: Topological, geometrical and generalized shape optimization

Mingdong Zhou, G. I. N. Rozvany · Computer Methods in Applied Mechanics and Engineering · 1991 · 1.8K citations

, , +13