Benner, PeterYücel, HamdullahMax-Planck-Institut für Dynamik Komplexer Technischer Systeme2025-05-292015https://epflicht.bibliothek.uni-halle.de/handle/123456789/3952870921940urn:nbn:de:gbv:3:2-647962483986Abstract: We investigate an a posteriori error analysis of adaptive finite element approximations of linear-quadratic boundary optimal control problems under bilateral bound constraints, which act on a Neumann boundary condition. We use a symmetric interior penalty Galerkin (SIPG) method as discretization method. An efficient and reliable residual-type error estimator is introduced by invoking data oscillations. We then derive local upper and lower a posteriori error estimates for the boundary control problem. Adaptive mesh refinement indicated by a posteriori error estimates is applied. Numerical results are presented to illustrate the performance of the adaptive finite element approximation.1 Online-Ressource (32 Seiten = 3,29 MB) : Diagrammeenghttp://rightsstatements.org/vocab/InC/1.0/510Book