Strategies for time-dependent PDE control with inequality constraints using an integrated modeling and simulation environment.

Neitzel, I., Prufert, U. and Slawig, Thoma (2009) Strategies for time-dependent PDE control with inequality constraints using an integrated modeling and simulation environment. Numerical Algorithms, 50 (3). pp. 241-269. DOI 10.1007/s11075-008-9225-4.

Full text not available from this repository.

Supplementary data:

Abstract

In Neitzel et al. (Strategies for time-dependent PDE control using an integrated modeling and simulation environment. Part one: problems without inequality constraints. Technical Report 408, Matheon, Berlin, 2007) 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 article 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 barrier methods are widely in use. We show how these techniques can be realized in a modeling and simulation package. We implement a projection method based on active sets as well as a barrier method and a Moreau Yosida regularization, and compare these methods by a program that optimizes the discrete version of the given problem.

Document Type: Article
Keywords: optimal controlparabolic pdes inequality constraints integrated modeling and simulation environments active set strategy pointwise state constraints pontryagins principle parabolic equations
Research affiliation: Kiel University
OceanRep > The Future Ocean - Cluster of Excellence
Refereed: Yes
Open Access Journal?: No
DOI etc.: 10.1007/s11075-008-9225-4
ISSN: 1017-1398
Projects: Future Ocean
Date Deposited: 11 Feb 2011 12:14
Last Modified: 23 Sep 2019 20:32
URI: http://oceanrep.geomar.de/id/eprint/9607

Actions (login required)

View Item View Item