Authors: Zahire Seymen; Bülent Karasözen
Addresses: Department of Mathematics, Middle East Technical University, 06500, Ankara, Turkey ' Department of Mathematics, Middle East Technical University, 06500, Ankara, Turkey
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.
Keywords: optimal boundary control; stabilised finite elements; convection dominated problems; control constraints; COMSOL multiphysics; time dependence; diffusion-convection-reaction equations; finite element method; FEM.
International Journal of Mathematical Modelling and Numerical Optimisation, 2013 Vol.4 No.3, pp.282 - 300
Received: 25 Feb 2013
Accepted: 02 Jul 2013
Published online: 25 Sep 2013 *