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A Mixed Discontinuous Galerkin Approximation of Time Dependent Convection Diffusion Optimal Control Problem

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  • Qingjin Xu
  • Zhaojie Zhou

Abstract

In this paper, we investigate a mixed discontinuous Galerkin approximation of time dependent convection diffusion optimal control problem with control constraints based on the combination of a mixed finite element method for the elliptic part and a discontinuous Galerkin method for the hyperbolic part of the state equation. The control variable is approximated by variational discretization approach. A priori error estimates of the state, adjoint state, and control are derived for both semidiscrete scheme and fully discrete scheme. Numerical example is given to show the effectiveness of the numerical scheme.

Suggested Citation

  • Qingjin Xu & Zhaojie Zhou, 2017. "A Mixed Discontinuous Galerkin Approximation of Time Dependent Convection Diffusion Optimal Control Problem," Journal of Mathematics, Hindawi, vol. 2017, pages 1-14, February.
    • Handle: RePEc:hin:jjmath:6901467
    DOI: 10.1155/2017/6901467
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