401-4647-64L Finite Element Methods for PDE-Constrained Optimal Control Problems
|Kurzbeschreibung||In this course we present theoretical and practical aspects of finite element methods applied to discretizations of PDE-constrained optimization problems.|
|Inhalt||We discuss different discretization concepts carefully taking|
into account the difference between discretization of a single equation
and the discretization of an optimization problem. We derive a priori
error estimates for different situations including problems with
inequality constraints as well as problems governed by semilinear PDEs.
Moreover we discuss a posteriori error estimates and adaptive mesh
refinement algorithms for PDE-constrained optimization. Last but not
least, we give an overview of current research topics in this area.
|Voraussetzungen / Besonderes||Completed ETH BSc Mathematics, completed ETH BSc Computational Science and Engineering, or completed ETH MSc.|