Isogeometric topology optimization based on deep learning

DOI10.1007/s40304-021-00253-8zbMath1501.65008OpenAlexW4284959433WikidataQ114219395 ScholiaQ114219395MaRDI QIDQ2674045

Xin Li, Taining Zheng

Publication date: 22 September 2022

Published in: Communications in Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40304-021-00253-8

zbMATH Keywords

B-splinestopology optimizationisogeometric analysisdeep learning

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Uses Software

• ImageNet
• U-Net
• AlexNet

Cites Work

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• Isogeometric analysis for parameterized LSM-based structural topology optimization
• A computational paradigm for multiresolution topology optimization (MTOP)
• An isogeometrical approach to structural topology optimization by optimality criteria
• Isogeometric topology optimization using trimmed spline surfaces
• Isogeometric analysis using T-splines
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• Generating optimal topologies in structural design using a homogenization method
• Material interpolation schemes in topology optimization
• Structural boundary design via level set and immersed interface methods
• A new three-dimensional topology optimization method based on moving morphable components (MMCs)
• Multilayer feedforward networks are universal approximators
• A level set method for structural topology optimization.
• Hybrid non-uniform recursive subdivision with improved convergence rates
• Topology optimization based on deep representation learning (DRL) for compliance and stress-constrained design
• Neural networks for topology optimization
• Explicit isogeometric topology optimization using moving morphable components
• Topology optimization in B-spline space
• A new hole insertion method for level set based structural topology optimization
• Design-dependent loads in topology optimization
• Isogeometric Analysis
• A logical calculus of the ideas immanent in nervous activity

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