A posteriori error estimates of constrained optimal control problem governed by convection diffusion equations

Abstract

In this paper, we study a posteriori error estimates of the edge stabilization Galerkin method for the constrained optimal control problem governed by convection-dominated diffusion equations. The residual-type a posteriori error estimators yield both upper and lower bounds for control u measured in L²-norm and for state y and costate p measured in energy norm. Two numerical examples are presented to illustrate the effectiveness of the error estimators provided in this paper.

Keywords

Constrained optimal control problem / convection dominated diffusion equation / edge stabilization Galerkin method / a posteriori error estimate

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