Yücel, HamdullahBenner, PeterMax-Planck-Institut für Dynamik Komplexer Technischer Systeme2025-05-292013https://epflicht.bibliothek.uni-halle.de/handle/123456789/3904870499025urn:nbn:de:gbv:3:2-643092482074Abstract: We study a posteriori error estimates for the numerical approximations of state constrained optimal control problems governed by convection diffusion equations, regularized by Moreau-Yosida and Lavrentiev-based techniques. The upwind Symmetric Interior Penalty Galerkin (SIPG) method is used as a discontinuous Galerkin (DG) discretization method. We derive different residual-based error indicators for each regularization technique due to the regularity issues. An adaptive mesh refinement indicated by a posteriori error estimates is applied. Numerical examples are presented to illustrate the effectiveness of the adaptivity for both regularization techniques.1 Online-Ressource (24 Seiten = 1,12 MB) : Diagrammeenghttp://rightsstatements.org/vocab/InC/1.0/510Book