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Titel
Adaptive discontinuous Galerkin methods for state constrained optimal control problems governed by convection diffusion equations / Hamdullah Yücel, Peter Benner
VerfasserYücel, Hamdullah ; Benner, Peter
KörperschaftMax-Planck-Institut für Dynamik Komplexer Technischer Systeme
ErschienenMagdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, September 19, 2013
Umfang1 Online-Ressource (24 Seiten = 1,12 MB) : Diagramme
SpracheEnglisch
SerieMax Planck Institute Magdeburg Preprints ; 13-16
URNurn:nbn:de:gbv:3:2-64309 
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Adaptive discontinuous Galerkin methods for state constrained optimal control problems governed by convection diffusion equations [1.12 mb]
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Abstract: 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.