Gradient methods for multiple state optimal design problems

DOI10.1007/S11565-007-0025-XzbMath1180.35067OpenAlexW2057508071MaRDI QIDQ1042578

Nenad Antonić, Marko Vrdoljak

Publication date: 14 December 2009

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-007-0025-x

zbMATH Keywords

gradient methodsnecessary conditions of optimalitydesign problems

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) Numerical methods based on necessary conditions (49M05) Bounds on effective properties in solid mechanics (74Q20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) PDEs in connection with control and optimization (35Q93)

Related Items (5)

On Hashin-Shtrikman bounds for mixtures of two isotropic materials ⋮ Exact solutions in optimal design problems for stationary diffusion equation ⋮ On unique solutions of multiple-state optimal design problems on an annulus ⋮ Classical Optimal Design in Two-Phase Conductivity Problems ⋮ Classical optimal designs on annulus and numerical approximations

Uses Software

• deal.ii

Cites Work

• Sequential laminates in multiple-state optimal design problems
• On some projections of homogenised coefficients for stationary diffusion equation
• deal.II—A general-purpose object-oriented finite element library
• Discrete and Continuous Bang-Bang and Facial Spaces Or: Look for the Extreme Points
• Shape optimization by the homogenization method
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