Domain decomposition of optimal control problems for dynamic networks of elastic strings

Leugering G (2000)


Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2000

Journal

Publisher: Springer Verlag (Germany)

Book Volume: 16

Pages Range: 5-27

Journal Issue: 1

URI: http://link.springer.com/article/10.1023/A:1008721402512

DOI: 10.1023/A:1008721402512

Abstract

We consider optimal control problems related to exact- and approximate controllability of dynamic networks of elastic strings. In this note we concentrate on problems with linear dynamics, no state and no control constraints. The emphasis is on approximating target states and velocities in part of the network using a dynamic domain decomposition method (d(3)m) for the optimality system on the network. The decomposition is established via a Uzawa-type saddle-point iteration associated with an augmented Lagrangian relaxation of the transmission conditions at multiple joints. We consider various cost functions and prove convergence of the infinite dimensional scheme for an exemplaric choice of the cost. We also give numerical evidence in the case of simple exemplaric networks.

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How to cite

APA:

Leugering, G. (2000). Domain decomposition of optimal control problems for dynamic networks of elastic strings. Computational Optimization and Applications, 16(1), 5-27. https://dx.doi.org/10.1023/A:1008721402512

MLA:

Leugering, Günter. "Domain decomposition of optimal control problems for dynamic networks of elastic strings." Computational Optimization and Applications 16.1 (2000): 5-27.

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