Optimal boundary control for time-dependent diffusion-convection-reaction equations
by Zahire Seymen; Bülent Karasözen
International Journal of Mathematical Modelling and Numerical Optimisation (IJMMNO), Vol. 4, No. 3, 2013

Abstract: We study the boundary control problem governed by diffusion-convection-reaction equations with and without control constraints. The optimality system is transformed into a biharmonic equation in the space-time domain. The system is then discretised in space and time simultaneously and solved by an equation-based finite element package. The convection dominated state and adjoint equations are stabilised using the streamline upwind/Petrov Galerkin (SUPG) method. Numerical results for Robin type boundary conditions are presented with and without stabilisation.

Online publication date: Sat, 26-Jul-2014

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