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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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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.