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Domain Optimization Problem for Stationary Heat Equation
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.
Cited literature [2 references]
https://hal.inria.fr/inria-00073903
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 2:02:45 PM
Last modification on : Thursday, February 11, 2021 - 2:48:12 PM
Long-term archiving on: : Monday, April 5, 2010 - 12:01:21 AM
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 2:02:45 PM
Last modification on : Thursday, February 11, 2021 - 2:48:12 PM
Long-term archiving on: : Monday, April 5, 2010 - 12:01:21 AM