Optimal boundary control for time-dependent diffusion-convection-reaction equations (Q2446771)

Summary: 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 method. Numerical results for Robin-type boundary conditions are presented with and without stabilisation.