Domain Optimization Problem for Stationary Heat Equation
Antoine Henrot, Werner Horn, Jan Sokołowski, 54 - Villers-les-Nancy (France). Unite de Recherche de Lorraine Institut National de Recherche en Informatique et en Automatique (INRIA) · 1996
In the paper, the support of a Radon measure is selected in an optimal way. The solution of the second-order elliptic equation depends on the measure via the mixed-type boundary conditions. The existence of a solution for a class of domain optimization problems is shown. A relaxed formulation of the optimization problems is proposed. The first-order necessary optimality conditions are derived.