Optimal Control Problems Governed by Elliptic Variational Inequalities

 

 Supervision/Development:  


 Goals: 

  • A priori error analysis for finite element discretizations of optimal control problems governed by variational inequalities
  • Analysis of different regularization techniques with a focus on investigating the regularization and discretization errors
  • Development and analysis of non-smooth optimization methods
  • Verification of the theoretical results by numerical tests


 Publications related to the project: 

  • C. Meyer, M. Weymuth: A Priori Error Estimates for an Optimal Control Problem Governed by a Variational Inequality of the Second Kind. PAMM Proc. Appl. Math. Mech. 19, 2019. [PDF]