===firstname: Armin ===firstname3: Christian ===affil6: ===lastname3: Clason ===email: armin.rund@uni-graz.at ===keyword_other2: PDE-Constrained Optimization ===lastname6: ===affil5: ===lastname4: ===lastname7: ===affil7: ===postal: Institut für Mathematik und Wiss. Rechnen Heinrichstr. 36 8010 Graz Austria ===ABSTRACT: The talk is concerned with optimal control problems for parabolic differential equations subject to switching penalties. Based on sparse control we formulate convex and nonconvex penalty functions that promote switching between different control components. After suitable regularizations both problems can be solved using semismooth Newton-Krylov methods with adjoint-based exact first and second derivatives. The convex and nonconvex formulations are compared in numerical experiments. ===affil3: University of Duisburg-Essen ===title: PDE-constrained optimization with switching controls ===affil2: University of Graz ===lastname2: Kunisch ===firstname4: ===keyword1: Optimization of Complex Problems/Systems (PDE-constrained optimization, optimization under uncertainty, and simulation-based optimization)>Optimization of Complex Problems/Systems ===workshop: no ===lastname: Rund ===firstname5: ===keyword2: Optimization of Complex Problems/Systems (PDE-constrained optimization, optimization under uncertainty, and simulation-based optimization) ===otherauths: ===affil4: ===competition: no ===firstname7: ===firstname6: ===keyword_other1: ===lastname5: ===affilother: ===firstname2: Karl