On an optimal shape design problem in conduction
José Carlos Bellido (2006)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper we analyze a typical shape optimization problem in two-dimensional conductivity. We study relaxation for this problem itself. We also analyze the question of the approximation of this problem by the two-phase optimal design problems obtained when we fill out the holes that we want to design in the original problem by a very poor conductor, that we make to converge to zero.