A measure space approach to optimal source placement

Christian Clason () and Karl Kunisch ()

Computational Optimization and Applications, 2012, vol. 53, issue 1, 155-171

Abstract: The problem of optimal placement of point sources is formulated as a distributed optimal control problem with sparsity constraints. For practical relevance, partial observations as well as partial and non-negative controls need to be considered. Although well-posedness of this problem requires a non-reflexive Banach space setting, a primal-predual formulation of the optimality system can be approximated well by a family of semi-smooth equations, which can be solved by a superlinearly convergent semi-smooth Newton method. Numerical examples indicate the feasibility for optimal light source placement problems in diffusive photochemotherapy. Copyright Springer Science+Business Media, LLC 2012

Keywords: Optimal control; Optimal actuator placement; Non-reflexive Banach space; Radon measures; Fenchel duality (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10589-011-9444-9

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