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

Tuğba Akman (), Hamdullah Yücel () and Bülent Karasözen ()

Computational Optimization and Applications, 2014, vol. 57, issue 3, 703-729

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. Copyright Springer Science+Business Media New York 2014

Keywords: Unsteady convection diffusion equations; Optimal control; Discontinuous Galerkin methods; A priori error estimates (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s10589-013-9601-4

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