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dc.contributor.authorHintermüller, M.
Hinze, M.
dc.date.accessioned 2018-06-18T17:51:07Z
dc.date.available 2018-06-18T17:51:07Z
dc.date.issued 2003-10
dc.identifier.citation Hintermüller, M. and Hinze, M.. "A SQP-Semi-Smooth Newton-Type Algorithm Applied to Control of the Instationary Navier-Stokes System Subject to Control Constraints." (2003) https://hdl.handle.net/1911/102007.
dc.identifier.urihttps://hdl.handle.net/1911/102007
dc.description.abstract Sequential quadratic programming (SQP) methods for the optimal control of the instationary Navier-Stokes equations with pointwise constraints on the control are considered. Due to the presence of the constraints the quadratic subproblems (QP) of SQP require a more sophisticated solver compared to the unconstrained case. In this paper, a semismooth Newton method is proposed for efficiently solving the QPs. The convergence analysis which is performed in an appropriate function space setting, relies on the concept of the slant differentiability for proving locally superlinear convergence of the QP-solver. For the analysis of the outer SQP-iteration a generalized equations approach is utilized. Sufficient conditions for guaranteeing strong regularity of the generalized equation are established which, in turn, allows to argue a quadratic rate of convergence of the SQP-method. The paper ends with a report on numerical results supporting the theoretical findings.
dc.format.extent 25 pp
dc.title A SQP-Semi-Smooth Newton-Type Algorithm Applied to Control of the Instationary Navier-Stokes System Subject to Control Constraints
dc.type Technical report
dc.date.note October 2003
dc.identifier.digital TR03-11
dc.type.dcmi Text


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