Annular and sectorial sparsity in optimal control of elliptic equations

Roland Herzog (), Johannes Obermeier and Gerd Wachsmuth ()
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Gerd Wachsmuth: http://www.tu-chemnitz.de/mathematik/part_dgl

Computational Optimization and Applications, 2015, vol. 62, issue 1, 157-180

Abstract: 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

Keywords: Directional sparsity; Polar coordinates; Coordinate transformation; 49K20; 65K10; 49M15 (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s10589-014-9721-5

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