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• W2601710175 abstract "This article discusses a priori and a posteriori error estimates of discontinuous Galerkin finite element method for optimal control problem governed by the transport equation. We use variational discretization concept to discretize the control variable and discontinuous piecewise linear finite elements to approximate the state and costate variable. Based on the error estimates of discontinuous Galerkin finite element method for the transport equation, we get a priori and a posteriori error estimates for the transport equation optimal control problem. Finally, two numerical experiments are carried out to confirm the theoretical analysis.© 2017 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2017" @default.
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• W2601710175 date "2017-03-23" @default.
• W2601710175 modified "2023-10-17" @default.
• W2601710175 title "Error analysis of discontinuous Galerkin finite element method for optimal control problem governed by the transport equation" @default.
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• W2601710175 doi "https://doi.org/10.1002/num.22149" @default.
• W2601710175 hasPublicationYear "2017" @default.
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