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

2014-04-01
AKMAN, Tugba
Yücel, Hamdullah
Karasözen, Bülent
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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.
A priori error estimates, Discontinuous Galerkin methods, Optimal control, Unsteady convection diffusion equations
https://hdl.handle.net/11511/30737
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS
Graduate School of Applied Mathematics, Article

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Citation Formats
T. AKMAN, H. Yücel, and B. Karasözen, “A priori error analysis of the upwind symmetric interior penalty Galerkin (SIPG) method for the optimal control problems governed by unsteady convection diffusion equations,” COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, pp. 703–729, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/30737.
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