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Adaptive discontinuous Galerkin approximation of optimal control problems governed by transient convection-diffusion equations / Hamdullah Yücel, Martin Stoll, Peter Benner
VerfasserYücel, Hamdullah ; Stoll, Martin ; Benner, Peter
KörperschaftMax-Planck-Institut für Dynamik Komplexer Technischer Systeme
ErschienenMagdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, July 16, 2015
Umfang1 Online-Ressource (27 Seiten = 0,8 MB) : Diagramme
SpracheEnglisch
SerieMax Planck Institute Magdeburg Preprints ; 15-11
URNurn:nbn:de:gbv:3:2-64771 
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Adaptive discontinuous Galerkin approximation of optimal control problems governed by transient convection-diffusion equations [0.8 mb]
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Abstract: 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.