A posteriori error estimates of constrained optimal control problem governed by convection diffusion equations |
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Authors: | Ningning Yan Zhaojie Zhou |
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Affiliation: | (1) State Key Laboratory of Scientific and Engineering Computing, Institute of Systems Science, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, 100190, China |
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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 L 2-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. |
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Keywords: | Constrained optimal control problem convection dominated diffusion equation edge stabilization Galerkin method a posteriori error estimate |
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