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Characteristic mixed finite element approximation of transient convection diffusion optimal control problems

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  • Zhou, Zhaojie
  • Chen, Fengxin
  • Chen, Huanzhen

Abstract

In this paper, we investigate a characteristic mixed finite element approximation of transient convection diffusion optimal control problems. The state and the adjoint state are approximated by characteristic mixed finite element method, while the control is discretized by standard finite element method. We derive the continuous and discrete first-order optimality conditions and prove a priori error estimates for the state, the adjoint state and the control. Numerical examples are presented to illustrate the theoretical findings.

Suggested Citation

  • Zhou, Zhaojie & Chen, Fengxin & Chen, Huanzhen, 2012. "Characteristic mixed finite element approximation of transient convection diffusion optimal control problems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(11), pages 2109-2128.
    • Handle: RePEc:eee:matcom:v:82:y:2012:i:11:p:2109-2128
    DOI: 10.1016/j.matcom.2012.05.005
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    Cited by:

    1. Shi, Dongyang & Tang, Qili & Gong, Wei, 2015. "A low order characteristic-nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 114(C), pages 25-36.

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