Localized Model Reduction in PDE Constrained Optimization

Ohlberger Mario, Schaefer Michael, Schindler Felix

Research article in edited proceedings (conference)

Abstract

We present efficient localized model reduction approaches for PDE constraint optimization or optimal control. The first approach focuses on problems where the underlying PDE is given as a locally periodic elliptic multiscale problem. The second approach is more universal and focuses on general underlying multiscale or large scale problems. Both methods make use of reduced basis techniques and rely on efficient a posteriori error estimation for the approximation of the underlying parameterized PDE. The methods are presented and numerical experiments are discussed.

Details zur Publikation

Publisher: Schulz V, Seck D
Book title: Shape Optimization, Homogenization and Optimal Control – DFG-AIMS workshop held at the AIMS Center Senegal, March 13-16, 2017
Release year: 2018
Publishing company: Birkhäuser
ISBN: 978-3-319-90468-9
Language in which the publication is writtenEnglish
Event: Basel
Link to the full text: http://www.uni-muenster.de/AMM/includes/ohlberger/publications/OMS2018__Ohlberger_Schaefer_Schindler__2018__Localized_Model_Reduction_in_PDE_Constrained_Optimization.pdf