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# Relaxation of an optimal design problem with an integral-type constraint

@article{Aranda2005RelaxationOA, title={Relaxation of an optimal design problem with an integral-type constraint}, author={Ernesto Aranda and Jos{\'e} Carlos Bellido}, journal={Proceedings of the 44th IEEE Conference on Decision and Control}, year={2005}, pages={702-707} }

- Published 2005 in Proceedings of the 44th IEEE Conference on…
DOI:10.1137/S0363012902418662

We study a new relaxation for a two-dimensional optimal design problem in conductivity consisting of determining how to mix two given conducting materials in order to minimize the amount of one of them, subject to a constraint on the efficiency of the conducting properties of the mixture. Our approach here is different from that obtained in [10], and based on a local reformulation of the optimal design problem by means of the introduction of new potentials. The concept of constrained… CONTINUE READING