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OPTIMAL CONTROL OF THE STATIONARY NAVIER--STOKES EQUATIONS WITH MIXED CONTROL-STATE CONSTRAINTS.
- Source :
-
SIAM Journal on Control & Optimization . 2007, Vol. 46 Issue 2, p604-629. 26p. 2 Diagrams, 2 Charts, 8 Graphs. - Publication Year :
- 2007
-
Abstract
- In this paper we consider the distributed optimal control of the Navier—Stokes equations in the presence of pointwise mixed control-state constraints. After deriving a first order necessary condition, the regularity of the mixed constraint multiplier is investigated. Second order sufficient optimality conditions are studied as well. In the last part of the paper, a semismooth Newton method is applied for the numerical solution of the control problem. The convergence of the method is proved and numerical experiments are carried out. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03630129
- Volume :
- 46
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Control & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 27023777
- Full Text :
- https://doi.org/10.1137/050646949