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Domain Optimization Problem for Stationary Heat Equation

Antoine Henrot Werner Horn Jan Sokolowski 1
1 NUMATH - Mathematical Analysis and Numerical Simulation of Non-Linear Models
INRIA Lorraine
Abstract : 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 mesure via the mixed type boundary conditions. The existence of a solution for a class of domain optimization problems is shown. The relaxed formulation of the optimization problems is proposed. The first order necessary optimality conditions are derived.
Keywords : shape optimization generalized solution radon mesure optimality conditions heat equation optimal design
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Submitted on : Wednesday, May 24, 2006 - 2:02:45 PM
Last modification on : Friday, February 4, 2022 - 3:22:48 AM
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Antoine Henrot, Werner Horn, Jan Sokolowski. Domain Optimization Problem for Stationary Heat Equation. [Research Report] RR-2788, INRIA. 1996, pp.26. ⟨inria-00073903⟩

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