A priori error analysis of the upwind symmetric interior penalty Galerkin (SIPG) method for the optimal control problems governed by unsteady convection diffusion equations

Authors:
Tuğba Akman;Hamdullah Yücel;Bülent Karasözen
Affiliations:
Department of Mathematics & Institute of Applied Mathematics, Middle East Technical University, Ankara, Turkey 06800;Department of Mathematics & Institute of Applied Mathematics, Middle East Technical University, Ankara, Turkey 06800 and Computational Methods in Systems and Control Theory, Max Planck Institute f ...;Department of Mathematics & Institute of Applied Mathematics, Middle East Technical University, Ankara, Turkey 06800
Venue:
Computational Optimization and Applications
Year:
2014

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Abstract

In this paper, we analyze the symmetric interior penalty Galerkin (SIPG) for distributed optimal control problems governed by unsteady convection diffusion equations with control constraint bounds. A priori error estimates are derived for the semi- and fully-discrete schemes by using piecewise linear functions. Numerical results are presented, which verify the theoretical results.