Annular and sectorial sparsity in optimal control of elliptic equations.

Herzog, Roland; Obermeier, Johannes; Wachsmuth, Gerd

Optimal control problems are considered with linear elliptic equations in polar coordinates. The objective contains $$L^1$$ -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.

ELLIPTIC equations; OPTIMAL control theory; PROBLEM solving; LINEAR equations; POLAR coordinates (Mathematics); MATRIX norms

Computational Optimization & Applications, 2015, Vol 62, Issue 1, p157

0926-6003

Academic Journal

10.1007/s10589-014-9721-5