EU Regional School - Volkwein Seminar

Location: AICES Seminar Room 115, 1st floor, Schinkelstr. 2, 52062 Aachen

Prof. Dr. Volkwein - Proper Orthogonal Decomposition (POD) for Partial Differential Equations; Application to PDE-Constrained Optimization

Department of Mathematics and Statistics
University of Konstanz

Abstract

In the first part of the course POD model reduction is introduced. The numerical computation of a POD basis is discussed and a-priori error analysis is presented. Throughout, numerical will illustrate the theoretical results and discussions. In the second part of the course POD is applied to solve optimal control problems governed by partial differential equations. To ensure sufficiently accurate solutions a-posteriori error analysis as well as POD basis adaption is utilized.