Nonlinear diffusions in topology optimization

DOI10.1007/s00158-004-0436-6zbMath1243.74160OpenAlexW2005057313MaRDI QIDQ438477

Han Ding, Michael Yu Wang, Shi Wei Zhou

Publication date: 31 July 2012

Published in: Structural and Multidisciplinary Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00158-004-0436-6

zbMATH Keywords

regularization methodtopology optimizationdiffusion methodnonlinear diffusions

Mathematics Subject Classification ID

Topological methods for optimization problems in solid mechanics (74P15)

Related Items

Constraints of distance from boundary to skeleton: for the control of length scale in level set based structural topology optimization ⋮ Level-set based topology optimization for electromagnetic dipole antenna design ⋮ Body-fitted bi-directional evolutionary structural optimization using nonlinear diffusion regularization ⋮ Structural topology optimization with strength and heat conduction constraints ⋮ Two-Scale Elastic Shape Optimization for Additive Manufacturing ⋮ Topology optimization method with nonlinear diffusion ⋮ A topology optimization approach using VOF method ⋮ Multimaterial structural topology optimization with a generalized Cahn-Hilliard model of multiphase transition ⋮ A topology optimization method based on the level set method incorporating a fictitious interface energy ⋮ Simultaneous elastic shape optimization for a domain splitting in bone tissue engineering ⋮ A phase-field model for compliance shape optimization in nonlinear elasticity

Cites Work

• An investigation concerning optimal design of solid elastic plates
• Contre-exemples pour divers problèmes ou le contrôle intervient dans les coefficients
• Structural boundary design via level set and immersed interface methods
• A level set model for image classification
• A level set method for structural topology optimization.
• Some convergence results in perimeter-controlled topology optimization
• Filters in topology optimization
• Systems of Cahn–Hilliard Equations
• Design-dependent loads in topology optimization
• A new density‐stiffness interpolation scheme for topology optimization of continuum structures
• An Example of a Max-Min Problem in Partial Differential Equations
• Level set methods for optimization problems involving geometry and constraints. I: Frequencies of a two-density inhomogeneous drum
• Shape optimization by the homogenization method
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item