401-4647-64L  Finite Element Methods for PDE-Constrained Optimal Control Problems

Semester Herbstsemester 2014
Dozierende B. Vexler
Periodizität einmalige Veranstaltung
Lehrsprache Englisch


Kurzbeschreibung In this course we present theoretical and practical aspects of finite element methods applied to discretizations of PDE-constrained optimization problems.
Lernziel
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.