Optimal design problems for two-phase conducting composites with weakly discontinuous objective functionals

Advances in Applied Mathematics

Volumn 27, Issue 4, 2001, Pages 683-704

  Grabovsky, Yury ^a  

^a Temple University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035520196     PISSN: 01968858     EISSN: None     Source Type: Journal    
DOI: 10.1006/aama.2001.0757     Document Type: Article

References (36)

1. Bounds for field fluctuations in two-phase materials
2. "A Version of the Fundamental Theorem for Young Measures, PDEs and Continuum Models of Phase Transitions (Nice, 1988)"
3. Conditions of optimality in the problem of finding shapes of holes in elastic bodies
4. Field fluctuations in a two-phase random medium
5. The dielectric constant of a composite material-A problem in classical physics
6. Field fluctuations in multicomponent mixtures
7. Inverse problems of the plane theory of elasticity
8. Homogenization and optimal shape design-based approach in optimal material distribution problems. I. The scalar case
9. "Convex Analysis and Variational Problems"
10. On rigid inclusions of minimum stress concentration
11. Optimal focusing of heat flow by heterogeneous heat conducting media (thermolens problem)
12. Numerical study of a relaxed variational problem from optimal design
13. Microstructures minimizing the energy of a two phase elastic composite in two space dimensions. II: The Vigdergauz microstructure
14. Analysis and numerical studies of a problem of shape design
15. Optimal design and relaxation of variational problems
16. "An isoperimetric inequality for gradients of solutions of elliptic equations in divergence form with application to the design of two-phase heat conductors"
17. "Optimal inequalities for gradients of solutions of elliptic equations occuring in two-phase heat conductors"
18. Optimal bounds on electric field fluctuations for random composites
19. Optimal design of gradient fields with applications to electrostatics
20. The extention of optimization problems containing controls in the coefficients
21. Direct relaxation of optimal layout problems for plates
22. Exact estimates of conductivity of composites formed by two isotropically conducting media taken in prescribed proportion
23. Exact estimates of a binary mixture of isotropic components
24. H-convergence
25. "Optimal design and constrained quasiconvexity"
26. Optimization, relaxation and Young measures
27. On the local representation of G-closure
28. Layout optimization of structures
29. Estimation fines des coefficients homogénéisés
30. Remarks on optimal design problems
31. Inverse problem of three-dimensional elasticity
32. Inhomogeneities of minimum stress concentration
33. On voids of minimum stress concentration
34. Die Theorie des Mischkörpers für das Feld des stationaären strömung. Erste Abhandlung die Mittelswertsätze für Kraft, Polarisation und Energie