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

Zhaojie Zhou, Fengxin Chen and Huanzhen Chen

Mathematics and Computers in Simulation (MATCOM), 2012, vol. 82, issue 11, 2109-2128

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.

Keywords: Characteristic mixed finite element; Optimal control; Transient convection diffusion equations; A priori error estimates (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:82:y:2012:i:11:p:2109-2128

DOI: 10.1016/j.matcom.2012.05.005

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