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Time-domain decomposition of optimal control problems for the wave equation

✍ Scribed by J.E. Lagnese; G. Leugering

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 235 KB
Volume: 48
Category: Article
ISSN: 0167-6911
DOI: 10.1016/s0167-6911(02)00268-2

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✦ Synopsis

We consider the problem of boundary optimal control of a wave equation with boundary dissipation by the way of time-domain decomposition of the corresponding optimality system. We develop an iterative algorithm which shows that the decomposed optimality system corresponds to local-in-time optimal control problems which can be treated in parallel. We show convergence of the algorithm. Finally, we provide a time discretization which is reminiscent of an instantaneous control scheme. We thereby also contribute to the problem of convergence of such schemes.

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