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title = \"Distributed optimal control of time-dependent diffusion-convection-reaction equations using space-time discretization \",
journal = \"Journal of Computational and Applied Mathematics \",
volume = \"261\",
number = \"0\",
pages = \"146 - 157\",
year = \"2014\",
note = \"\",
issn = \"0377-0427\",
doi = \"http://dx.doi.org/10.1016/j.cam.2013.11.006\",
url = \"http://www.sciencedirect.com/science/article/pii/S0377042713006250\",
author = \"Z. Kanar Seymen and H. Yücel and B. Karasözen\",
keywords = \"Optimal control problems\",
keywords = \"Stabilized finite elements\",
keywords = \"Convection dominated problems\",
keywords = \"Pointwise inequality constraints\",
keywords = \"\\{COMSOL\\} Multiphysics \",
abstract = \"Abstract We apply two different strategies for solving unsteady distributed optimal control problems governed by diffusion–convection–reaction equations. In the first approach,
the optimality system is transformed into a biharmonic equation in the space–time domain. The system is then discretized in space and time simultaneously and solved by an equation-based finite element package,
\\{COMSOL\\} Multiphysics. The second approach is a classical gradient-based optimization method to solve the state and adjoint equations and the optimality condition iteratively. The convection-dominated state and adjoint equations are stabilized using the streamline upwind/Petrov–Galerkin (SUPG) method. Numerical results show favorable accuracy and efficiency of the two strategies for unstabilized and stabilized numerical solutions. \" }
Jens Saak, jens.saak@mathematik.tu-chemnitz.de