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A measure space approach to optimal source placement

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Author Info

  • Christian Clason

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  • Karl Kunisch

    ()

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    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

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    File URL: http://hdl.handle.net/10.1007/s10589-011-9444-9
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    Bibliographic Info

    Article provided by Springer in its journal Computational Optimization and Applications.

    Volume (Year): 53 (2012)
    Issue (Month): 1 (September)
    Pages: 155-171

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    Handle: RePEc:spr:coopap:v:53:y:2012:i:1:p:155-171

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    Web page: http://www.springer.com/math/journal/10589

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    Related research

    Keywords: Optimal control; Optimal actuator placement; Non-reflexive Banach space; Radon measures; Fenchel duality;

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