Some smoothness results for the optimal design of a two-composite material which minimizes the energy

DOI10.1007/s00526-014-0762-5zbMath1317.49045OpenAlexW2060257223MaRDI QIDQ2349161

Juan Casado-Díaz

Publication date: 19 June 2015

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-014-0762-5

zbMATH Keywords

energy minimizationsmoothnesstwo-composite material

Mathematics Subject Classification ID

Composite and mixture properties (74E30) Regularity of solutions in optimal control (49N60) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (15)

The maximization of the first eigenvalue for a two-phase material ⋮ Smoothness Properties for the Optimal Mixture of Two Isotropic Materials: The Compliance and Eigenvalue Problems ⋮ A characterization result for the existence of a two-phase material minimizing the first eigenvalue ⋮ Exact solutions in optimal design problems for stationary diffusion equation ⋮ Some comparison results and a partial bang-bang property for two-phases problems in balls ⋮ An optimal design problem for a two-phase isolating material in the wall of a cavity ⋮ A composite material with inextensible-membrane-type interface ⋮ On the effective properties of composite elastic plate ⋮ Convergence of the optimality criteria method for multiple state optimal design problems ⋮ On unique solutions of multiple-state optimal design problems on an annulus ⋮ Some smoothness results for classical problems in optimal design and applications ⋮ Classical Optimal Design in Two-Phase Conductivity Problems ⋮ Shape optimization of a weighted two-phase Dirichlet eigenvalue ⋮ The Maximization of the $p$-Laplacian Energy for a Two-Phase Material ⋮ Numerical Maximization of the p-Laplacian Energy of a Two-Phase Material

Cites Work

• Analysis and numerical studies of a problem of shape design
• Uniform convergence of sequences of solutions of two-dimensional linear elliptic equations with unbounded coefficients
• The general theory of homogenization. A personalized introduction
• Numerical study of a relaxed variational problem from optimal design
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• Elliptic partial differential equations of second order
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Smoothness Properties for the Optimal Mixture of Two Isotropic Materials: The Compliance and Eigenvalue Problems
• Relaxation of a Control Problem in the Coefficients with a Functional of Quadratic Growth in the Gradient
• Exact estimates of the conductivity of a binary mixture of isotropic materials
• Shape optimization by the homogenization method
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