caa a22 4500 475750284 CHVBK 20180406123521.0 cr unu---uuuuu 170329e20000401xx s 000 0 eng 10.1023/A:1008721402512 doi (NATIONALLICENCE)springer-10.1023/A:1008721402512 Leugering Günter Institut für Mathematik, Universität Bayreuth, 95440, Bayreuth, Germany aut Domain Decomposition of Optimal Control Problems for Dynamic Networks of Elastic Strings [Elektronische Daten] [Günter Leugering] 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 (d3m) 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. Kluwer Academic Publishers, 2000 dynamic networks of elastic strings nationallicence dynamic domain decomposition nationallicence optimal control nationallicence Computational Optimization and Applications Kluwer Academic Publishers 16/1(2000-04-01), 5-27 0926-6003 16:1<5 2000 16 10589 https://doi.org/10.1023/A:1008721402512 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1008721402512 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Leugering Günter Institut für Mathematik, Universität Bayreuth, 95440, Bayreuth, Germany aut NATIONALLICENCE 773 0- Computational Optimization and Applications Kluwer Academic Publishers 16/1(2000-04-01), 5-27 0926-6003 16:1<5 2000 16 10589 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer