Title of article :
STREAMLINE UPWIND/PETROV GALERKIN SOLUTION OF OPTIMAL CONTROL PROBLEMS GOVERNED BY TIME DEPENDENT DIFFUSION-CONVECTION-REACTION EQUATIONS
Author/Authors :
AKMAN, T Department of International Trade and Finance - Faculty of Management - University of Turkish Aeronautical Association - Etimesgut - Ankara, Turkey , KARASOZEN, B Department of Mathematics & Institute of Applied Mathematics - Middle East Technical University - Ankara, Turkey , KANAR-SEYMEN, Z Department of Mathematics & Institute of Applied Mathematics - Middle East Technical University - Ankara, Turkey
Abstract :
The streamline upwind/Petrov Galerkin (SUPG) finite element method is
studied for distributed optimal control problems governed by unsteady diffusion-convectionreaction 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.
Keywords :
optimal control problems , unsteady diffusion-convection-reaction equations , finite element elements , a priori error estimates
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
