Abstract
We consider the numerical analysis of quadratic optimal control problems with distributed and Robin boundary control governed by an elliptic problem. The Galerkin discretization is stabilized via the local projection approach which leads to a symmetric discrete optimality system. In the singularly perturbed case, the Robin control at parts of the boundary can be seen as regularized Dirichlet control.
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Lube, G., Tews, B. (2009). Distributed and Boundary Control of Singularly Perturbed Advection-Diffusion-Reaction Problems. In: Hegarty, A., Kopteva, N., O'Riordan, E., Stynes, M. (eds) BAIL 2008 - Boundary and Interior Layers. Lecture Notes in Computational Science and Engineering, vol 69. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00605-0_16
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DOI: https://doi.org/10.1007/978-3-642-00605-0_16
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