• search hit 9 of 9
Back to Result List

Strategies for Time-Dependent PDE Control using an Integrated Modeling and Simulation Environment. Part Two: Problems with Inequality Constraints

Please always quote using this URN:urn:nbn:de:0296-matheon-5995
  • In the first part of this article, we have shown how time-dependent optimal control for partial differential equations can be realized in a modern high-level modeling and simulation package. In this second part we extend our approach to (state) constrained problems. "Pure" state constraints in a function space setting lead to non-regular Lagrange multipliers (if they exist), i.e. the Lagrange multipliers are in general Borel measures. This will be overcome by different regularization techniques. To implement inequality constraints, active set methods and interior point methods (or barrier methods) are widely in use. We show how these techniques can be realized in the modeling and simulation package Comsol Multiphysics. In contrast to the first part, only the one-shot-approach based on space-time elements is considered. We implemented a projection method based on active sets as well as a barrier method and compare these methods by a specialized PDE optimization program, and a program that optimizes the discrete version of the given problem.

Download full text files

Export metadata

Additional Services

Share in Twitter Search Google Scholar
Metadaten
Author:Ira Neitzel, Uwe Prüfert, Thomas Slawig
URN:urn:nbn:de:0296-matheon-5995
Referee:Fredi Tröltzsch
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2009/07/22
Release Date:2009/07/20
Institute:Technische Universität Berlin
Zuse Institute Berlin (ZIB)
Preprint Number:633
Verstanden ✔
Diese Webseite verwendet technisch erforderliche Session-Cookies. Durch die weitere Nutzung der Webseite stimmen Sie diesem zu. Unsere Datenschutzerklärung finden Sie hier.