Optimal design problems for a non-linear cost in the gradient: numerical results

DOI10.1080/00036810802209882zbMath1158.49033OpenAlexW2038090906MaRDI QIDQ3603833

Julio Couce-Calvo, Juan Casado-Díaz, Manuel Luna-Laynez, José Domingo Martín-Gómez

Publication date: 19 February 2009

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810802209882

zbMATH Keywords

numerical analysiselliptic PDEcontrol in the coefficientscomposite optimal design

Mathematics Subject Classification ID

Cites Work

• Relaxation through homogenization for optimal design problems with gradient constraints
• A density result for the variation of a material with respect to small inclusions
• Optimal design in two-dimensional conductivity for a general cost depending on the field
• Optimal design problems for two-phase conducting composites with weakly discontinuous objective functionals
• Explicit quasiconvexification for some cost functionals depending on derivatives of the state in optimal designing.
• Applied optimal control theory of distributed systems
• Quasiconvexification in 3-D for a variational reformulation of an optimal design problem in conductivity
• Optimal design in small amplitude homogenization
• 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
• Optimality Conditions for Nonconvex Multistate Control Problems in the Coefficients

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