Topological optimization and minimal compliance in linear elasticity
From MaRDI portal
Publication:827675
DOI10.3934/eect.2020043zbMath1455.49029arXiv1909.05592OpenAlexW2973142997MaRDI QIDQ827675
Publication date: 13 January 2021
Published in: Evolution Equations and Control Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.05592
Numerical optimization and variational techniques (65K10) Linear elasticity with initial stresses (74B10) Optimization of shapes other than minimal surfaces (49Q10) Compliance or weight optimization in solid mechanics (74P05)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimal treatment of structures
- A framework for the construction of level set methods for shape optimization and reconstruction
- Structural optimization using sensitivity analysis and a level-set method.
- Shape optimization with a level set based mesh evolution method
- Optimization of a plate with holes
- Existence of a steady flow of Stokes fluid past a linear elastic structure using fictitious domain
- Fixed domain approaches in shape optimization problems
- Fixed domain approaches in shape optimization problems with Dirichlet boundary conditions
- An application of the integrated penalty method to free boundary problems of laplace equation
- New development in freefem++
- A Penalization and Regularization Technique in Shape Optimization Problems