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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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  • Tuğba Akman
  • Hamdullah Yücel
  • Bülent Karasözen

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

Suggested Citation

  • Tuğba Akman & Hamdullah Yücel & Bülent Karasözen, 2014. "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, Springer, vol. 57(3), pages 703-729, April.
    • Handle: RePEc:spr:coopap:v:57:y:2014:i:3:p:703-729
    DOI: 10.1007/s10589-013-9601-4
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    Cited by:

    1. Mengya Su & Liuqing Xie & Zhiyue Zhang, 2022. "Numerical Analysis of Fourier Finite Volume Element Method for Dirichlet Boundary Optimal Control Problems Governed by Elliptic PDEs on Complex Connected Domains," Mathematics, MDPI, vol. 10(24), pages 1-26, December.

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