Vortrag Gunter Winkler
Vortrag von Herrn Dipl.-math. oec. Gunter Winkler
Am Mittwoch, dem 23.1.2008 um 16.00 Uhr hält
Herr Dipl.-math. oec. Gunter Winkler
einen Vortrag über das Thema
Solution of optimal control problems in non-convex prismatic domains using anisotropic finite elements.
Der Vortrag findet im Raum 0129 im Gebäude 37 auf dem Campus der Universität der Bundeswehr München in Neubiberg statt.
The talk presents a linear-quadratic optimal control problem based on a partial differential equation on a non-convex prismatic domain. Based on efficient solution methods for the partial differential equation an algorithm known from control theory is applied. It is shown that there is no degradation in efficiency compared to uniform meshes on convex domains. Analytical results and numerical examples show that the solution can be estimated with a convergence order of 2, although the control is estimated by piecewise constant functions only. Piecewise linear approximations are used for the state and adjoint state. The key ideas are to use a well chosen mapping from piecewise linear to piecewise constant functions and a postprocessing that computes the final approximate control from the approximation of the adjoint state.