Tutorial on Optimal Control of Variational Inequalities

Monday, June 6, 2016 - 10:45am - 12:00pm
Lind 305
Thomas Surowiec (Humboldt-Universität)
Part I Elliptic Variational Inequalities
-­Existence and Uniqueness of a Solution
-­Sensitivity of the Solution with Respect to Parameters
-Approximation of Elliptic VIs via Moreau­Yosida Regularization
-­Numerical Solution via Semismooth Newton and Analytical Path­Following

Part II Optimal Control of Elliptic Variational Inequalities
-Existence of an Optimal Control
-­Approximation of the Control Problem and Consistency of the Approximation
-­Stationarity Conditions
-­Numerical Methods