Preconditioning of optimal Dirichlet boundary control problems in energy spaces

Prof. Lorenz John

June 14, 2012, 3:30 p.m. S2 416

We consider preconditioning techniques for iterative solution methods
applied to the optimality system discretized by finite elements for
Dirichlet boundary control problems in appropriate energy spaces. In
particular, we focus on the robustness with respect to the mesh size and
the cost coefficient. Further, we present some numerical examples which
confirm the obtained theoretical results.