On Hashin-Shtrikman bounds for mixtures of two isotropic materials

DOI10.1016/J.NONRWA.2008.12.002zbMath1202.35317OpenAlexW2063593462MaRDI QIDQ602899

Marko Vrdoljak

Publication date: 5 November 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2008.12.002

zbMATH Keywords

Hashin-Shtrikman boundsoptimality criteria methodstationary diffusion equationmultiple state optimal design

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Electromagnetic theory (general) (78A25) Optimization problems in optics and electromagnetic theory (78M50)

Related Items (6)

Exact solutions in optimal design problems for stationary diffusion equation ⋮ Optimality criteria method in 2D linearized elasticity problems ⋮ Convergence of the optimality criteria method for multiple state optimal design problems ⋮ 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

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• Sequential laminates in multiple-state optimal design problems
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• On some projections of homogenised coefficients for stationary diffusion equation
• deal.II—A general-purpose object-oriented finite element library
• On the Trace of Matrix Products
• Topics in the mathematical modelling of composite materials
• Shape optimization by the homogenization method

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