A primal-dual interior point method for large-scale free material optimization
From MaRDI portal
Publication:2350868
DOI10.1007/s10589-014-9720-6zbMath1317.90232OpenAlexW2053587999WikidataQ56050681 ScholiaQ56050681MaRDI QIDQ2350868
Mathias Stolpe, Alemseged Gebrehiwot Weldeyesus
Publication date: 25 June 2015
Published in: Computational Optimization and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10589-014-9720-6
Semidefinite programming (90C22) Applications of mathematical programming (90C90) Topological methods for optimization problems in solid mechanics (74P15) Compliance or weight optimization in solid mechanics (74P05)
Related Items
A line search SQP-type method with bi-object strategy for nonlinear semidefinite programming ⋮ Explicit model of dual programming and solving method for a class of separable convex programming problems ⋮ A Subgradient Method for Free Material Design
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Free material optimization for stress constraints
- A primal-dual interior point method for nonlinear semidefinite programming
- Interior-point methods for nonconvex nonlinear programming: Regularization and warmstarts
- Free material optimization via mathematical programming
- First- and second-order methods for semidefinite programming
- An interior algorithm for nonlinear optimization that combines line search and trust region steps
- Interior-Point Methods for the Monotone Semidefinite Linear Complementarity Problem in Symmetric Matrices
- Free Material Optimization for Plates and Shells
- Equivalent displacement based formulations for maximum strength truss topology design
- Primal-Dual Interior-Point Methods for Semidefinite Programming: Convergence Rates, Stability and Numerical Results
- On the Nesterov--Todd Direction in Semidefinite Programming
- Primal-Dual Interior Methods for Nonconvex Nonlinear Programming
- Self-Scaled Barriers and Interior-Point Methods for Convex Programming
- Robust Truss Topology Design via Semidefinite Programming
- Primal--Dual Path-Following Algorithms for Semidefinite Programming
- Primal-Dual Interior-Point Methods for Self-Scaled Cones
- On Extending Some Primal--Dual Interior-Point Algorithms From Linear Programming to Semidefinite Programming
- PENNON: A code for convex nonlinear and semidefinite programming
- A study of search directions in primal-dual interior-point methods for semidefinite programming
- Free Material Design via Semidefinite Programming: The Multiload Case with Contact Conditions
- Interior Methods for Nonlinear Optimization
- An Analytical Model to Predict Optimal Material Properties in the Context of Optimal Structural Design
- An Interior-Point Method for Semidefinite Programming
- A Sequential Convex Semidefinite Programming Algorithm with an Application to Multiple-Load Free Material Optimization
- Free Material Optimization with Fundamental Eigenfrequency Constraints
- Multidisciplinary Free Material Optimization
- Free material optimization: recent progress†
- Benchmarking optimization software with performance profiles.
