STREAMLINE UPWIND/PETROV GALERKIN SOLUTION OF OPTIMAL CONTROL PROBLEMS GOVERNED BY TIME DEPENDENT DIFFUSION-CONVECTION-REACTION EQUATIONS

Date

2017-01-01

Author

Akman, T.
Karasözen, Bülent
Kanar-Seymen, Z.

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The streamline upwind/Petrov Galerkin (SUPG) finite element method is studied for distributed optimal control problems governed by unsteady diffusion-convection-reaction equations with control constraints. We derive stability and convergence estimates for fully-discrete state, adjoint and control and discuss the choice of the stabilization parameter by applying backward Euler method in time. We show that by balancing the error terms in the convection dominated regime, optimal convergence rates can be obtained. The numerical results confirm the theoretically observed convergence rates.

Subject Keywords

Optimal control problems , A priori error estimates, Finite element elements, Unsteady diffusion-convection-reaction equations

URI

https://hdl.handle.net/11511/54100

Journal

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS

Collections

Graduate School of Applied Mathematics, Article

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Citation Formats

T. Akman, B. Karasözen, and Z. Kanar-Seymen, “STREAMLINE UPWIND/PETROV GALERKIN SOLUTION OF OPTIMAL CONTROL PROBLEMS GOVERNED BY TIME DEPENDENT DIFFUSION-CONVECTION-REACTION EQUATIONS,” TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, pp. 221–235, 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/54100.