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On domain decomposition methods for optimal control problems. (English) Zbl 1340.49029

Brandts, J. (ed.) et al., Proceedings of the international conference ‘Applications of mathematics’, Prague, Czech Republic, May 15–17, 2013. In honor of the 70th birthday of Karel Segeth. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics (ISBN 978-80-85823-61-5). 207-214 (2013).
The paper deals with an overlapping domain decomposition method for solving the optimal control of systems governed by the wave equation with a least square cost functional and the control variable appearing on the right hand side of the equation. The system of optimality conditions and the state problem itself are solved on two overlapping sub-domains. An algorithm involving Robin transmission conditions is presented and its convergence is shown.
For the entire collection see [Zbl 1277.00032].

MSC:

49M27 Decomposition methods
49M30 Other numerical methods in calculus of variations (MSC2010)
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