Homogenization in an optimal design problem with quadratic weakly discontinuous objective functional
نویسنده
چکیده
In this paper we consider an optimal design problem, where the goal is to find the layout of two conductors that minimize a given quadratic objective functional. The most important feature of the objective functional is that it is weakly discontinuous. In that case the tools of homogenization that were traditionally used in order to study such problems, are helpful but not sufficient. In this paper we present an example where additional tools are required to analyze the problem.
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