A Robust Preconditioner for Distributed Optimal Control for Stokes Flow with Control Constraints

M. Kollmann () and W. Zulehner ()
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M. Kollmann: Johannes Kepler University, Doctoral Program Computational Mathematics
W. Zulehner: Johannes Kepler University, Institute of Computational Mathematics

A chapter in Numerical Mathematics and Advanced Applications 2011, 2013, pp 771-779 from Springer

Abstract: Abstract This work is devoted to the construction and analysis of robust solution techniques for the distributed optimal control problem for the Stokes equations with inequality constraints on the control. There the first order system of necessary and sufficient optimality conditions is nonlinear. A primal-dual active set method is applied in order to linearize the system. In every step a linear saddle point system has to be solved. For this system, we analyze a block-diagonal preconditioner that is robust with respect to the discretization parameter as well as the active set.

Keywords: Block-diagonal Preconditioner; Saddle Point Linear Systems; Discretization Parameter; Velocity Tracking Problem; Preconditioned MINRES Method (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-33134-3_81

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DOI: 10.1007/978-3-642-33134-3_81

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