Relaxation through homogenization for optimal design problems with gradient constraints

Authors:
R. Lipton
Affiliations:
Professor, Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana
Venue:
Journal of Optimization Theory and Applications
Year:
2002

Citing 3
Cited 0

On a class of optimum problems in structural design

Journal of Optimization Theory and Applications
Convex analysis and variational problems

Convex analysis and variational problems
Regular Article: Optimal Design Problems for Two-Phase Conducting Composites with Weakly Discontinuous Objective Functionals

Advances in Applied Mathematics

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Abstract

The problem of the relaxation of optimal design problems for multiphase composite structures in the presence of constraints on the gradient of the state variable is addressed. A relaxed formulation for the problem is given in the presence of either a finite or infinite number of constraints. The relaxed formulation is used to identify minimizing sequences of configurations of phases.