Constrained shape optimization problem in elastic mechanics. Dedicated to Professor Dinh Nho Hao on the occasion of his 60th birthday

DOI10.1007/s40314-021-01632-1zbMath1476.49053OpenAlexW3196674888WikidataQ123286381 ScholiaQ123286381MaRDI QIDQ2052264

Van Chien Le, Thi Thanh Mai Ta

Publication date: 25 November 2021

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-021-01632-1

zbMATH Keywords

sensitivity analysisaugmented Lagrangian methodFreeFem++linear elastic structuresconstrained shape optimization

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Compliance or weight optimization in solid mechanics (74P05) Sensitivity analysis for optimization problems on manifolds (49Q12) PDEs in connection with control and optimization (35Q93)

Related Items

The elastic deformation process of bimetallic objects, Probabilistic analysis of a cantilever beam subjected to random loads via probability density functions

Uses Software

• Matlab
• Scilab
• FreeFem++

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Topology optimization for minimum stress design with the homogenization method
• Structural optimization with FreeFem++
• Shape optimal design using B-splines
• Isogeometric topology optimization using trimmed spline surfaces
• Optimal treatment of structures
• Structural shape optimization - A survey
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Generating optimal topologies in structural design using a homogenization method
• A framework for the construction of level set methods for shape optimization and reconstruction
• Structural optimization using sensitivity analysis and a level-set method.
• ``Color level sets: A multi-phase method for structural topology optimization with multiple materials.
• Shape optimization for Stokes flows using sensitivity analysis and finite element method
• A level set method for structural topology optimization.
• Variation and optimization of formes. A geometric analysis
• A new algorithm for topology optimization using a level-set method
• Conception optimale ou identification de formes, calcul rapide de la dérivée directionnelle de la fonction coût
• Differentiation with Respect to the Domain in Boundary Value Problems
• New development in freefem++
• Level set methods for optimization problems involving geometry and constraints. I: Frequencies of a two-density inhomogeneous drum
• Shape optimization by the homogenization method