Optimal boundary control for time-dependent diffusion-convection-reaction equations

Autor: Seymen, Zahire, Karasözen, Bülent
Zdroj: International Journal of Mathematical Modelling and Numerical Optimisation; January 2013, Vol. 4 Issue: 3 p282-300, 19p
Abstrakt: 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.
Databáze: Supplemental Index