На 29.05.2014 (четвъртък) от 14 часа в зала 403 на ИМИ на сбирка на семинара на секция "Математическо моделиране и числен анализ", ще докладва Dr. DI. Stefan Takacs от Technische Universität Chemnitz. Докладът е на тема:

"All-at-once multigrid methods for optimal control problems with inequality constraints"

Резюме:

In this talk we will discuss the solution of all-at-once multigrid methods for optimal control problems of tracking type with box constraints for the control variable. One possibility to solve such problems using multigrid methods is to use a (semi-smooth) Newton solver.

Here, a standard multigrid method would be used as an solver for linear sub-problems that occur within this iteration. Recently, it was possible to construct and analyze multigrid solvers that can be directly applied to elliptic problems with box constraints (like obstacle problems). Those methods have shown good convergence behavior in practice. In the present talk we will discuss how the ideas of such methods can be extended to control problems.