A preconditioner for optimal control problems, constrained by Stokes equation with a time-harmonic control

0482324 - ÚGN 2018 RIV NL eng J - Journal Article
Axelsson, Owe - Farouq, S. - Neytcheva, M.
A preconditioner for optimal control problems, constrained by Stokes equation with a time-harmonic control.
Journal of Computational and Applied Mathematics. Roč. 310, January 2017 (2017), s. 5-18. ISSN 0377-0427. E-ISSN 1879-1778
R&D Projects: GA MŠMT ED1.1.00/02.0070
Institutional support: RVO:68145535
Keywords : optimal control * time-harmonic Stokes problem * preconditioning
OECD category: Applied mathematics
Impact factor: 1.632, year: 2017
http://www.sciencedirect.com/science/article/pii/S0377042716302631?via%3Dihub

In this article we construct an efficient preconditioner for solving the algebraic systems arising from discretized optimal control problems with time-periodic Stokes equations, based on a preconditioning technique for stationary Stokes-constrained optimal control problems, considered in an earlier paper by the authors. A simplified analysis of the derivation of the preconditioner and its properties is presented. The preconditioner is fully parameter-independent and the condition number of the corresponding preconditioned matrix is bounded by 2. The so-constructed preconditioner is favourably compared with another robust preconditioner for the same problem.
Permanent Link: http://hdl.handle.net/11104/0277737