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

In: Numerical Mathematics and Advanced Applications 2011

Author

Listed:
  • M. Kollmann

    (Johannes Kepler University, Doctoral Program Computational Mathematics)

  • W. Zulehner

    (Johannes Kepler University, Institute of Computational Mathematics)

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.

Suggested Citation

  • M. Kollmann & W. Zulehner, 2013. "A Robust Preconditioner for Distributed Optimal Control for Stokes Flow with Control Constraints," Springer Books, in: Andrea Cangiani & Ruslan L. Davidchack & Emmanuil Georgoulis & Alexander N. Gorban & Jeremy Levesley (ed.), Numerical Mathematics and Advanced Applications 2011, edition 127, pages 771-779, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-33134-3_81
    DOI: 10.1007/978-3-642-33134-3_81
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