Yücel, HamdullahStoll, MartinBenner, PeterMax-Planck-Institut für Dynamik Komplexer Technischer Systeme2025-05-292015https://epflicht.bibliothek.uni-halle.de/handle/123456789/3950870918648urn:nbn:de:gbv:3:2-647712483963Abstract: In this paper, we investigate an a posteriori error estimate of a control constrained optimal control problem governed by a time-dependent convection diffusion equation. Control constraints are handled by using the primal-dual active set algorithm as a semi-smooth Newton method or by adding a Moreau-Yosida-type penalty function to the cost functional. An adaptive mesh refinement indicated by a posteriori error estimates is applied for both approaches. A symmetric interior penalty Galerkin method in space and a backward Euler in time are applied in order to discretize the optimization problem. Numerical results are presented, which illustrate the performance of the proposed error estimator.1 Online-Ressource (27 Seiten = 0,8 MB) : Diagrammeenghttp://rightsstatements.org/vocab/InC/1.0/510Book