Adaptive discontinuous Galerkin methods for state constrained optimal control problems governed by convection diffusion equations / Hamdullah Yücel, Peter Benner
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870499025
URN
urn:nbn:de:gbv:3:2-64309
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Erschienen
Magdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, September 19, 2013
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1 Online-Ressource (24 Seiten = 1,12 MB) : Diagramme
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Sprache
eng
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Inhaltliche Zusammenfassung
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.
Schriftenreihe
Max Planck Institute Magdeburg Preprints ; 13-16 ppn:870173030