Relaxation Through Homogenization for Optimal Design Problems with Gradient Constraints

R. Lipton
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R. Lipton: Louisiana State University

Journal of Optimization Theory and Applications, 2002, vol. 114, issue 1, No 2, 27-53

Abstract: 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.

Keywords: gradient constraints; relaxation; optimal design (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (1)

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DOI: 10.1023/A:1015408020092

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