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Annular and sectorial sparsity in optimal control of elliptic equations

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Optimal control problems are considered with linear elliptic equations in polar coordinates. The objective contains $$L^1$$ L 1 -type norms, which promote sparse optimal controls. The particular iterated structure of these norms gives rise to either annular or sectorial sparsity patterns. Optimality conditions and numerical solution approaches are developed. Copyright Springer Science+Business Media New York 2015

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  • Roland Herzog & Johannes Obermeier & Gerd Wachsmuth, 2015. "Annular and sectorial sparsity in optimal control of elliptic equations," Computational Optimization and Applications, Springer, vol. 62(1), pages 157-180, September.
    • Handle: RePEc:spr:coopap:v:62:y:2015:i:1:p:157-180
    DOI: 10.1007/s10589-014-9721-5
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    1. Georg Stadler, 2009. "Elliptic optimal control problems with L 1 -control cost and applications for the placement of control devices," Computational Optimization and Applications, Springer, vol. 44(2), pages 159-181, November.
    2. Christian Clason & Karl Kunisch, 2012. "A measure space approach to optimal source placement," Computational Optimization and Applications, Springer, vol. 53(1), pages 155-171, September.
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