A priori error analysis of the upwind symmetric interior penalty Galerkin (SIPG) method for the optimal control problems governed by unsteady convection diffusion equations |
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| Authors: | Tuğba Akman Hamdullah Yücel Bülent Karasözen |
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| Institution: | 1. Department of Mathematics & Institute of Applied Mathematics, Middle East Technical University, 06800, Ankara, Turkey
2. Computational Methods in Systems and Control Theory, Max Planck Institute for Dynamics of Complex Technical Systems, Sandtorstr. 1, 39106, Magdeburg, Germany
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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. |
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