A regularized optimality system for state-constrained optimal control problems is introduced and semi-smooth Newton methods for its solution are analyzed. Convergence of the regularized problems is proved. Numerical tests conรฟrm the theoretical results and demonstrate the e ciency of the proposed me
โฆ LIBER โฆ
A new semi-smooth Newton multigrid method for control-constrained semi-linear elliptic PDE problems
โ Scribed by Liu, Jun; Xiao, Mingqing
- Book ID
- 125363597
- Publisher
- Springer US
- Year
- 2014
- Tongue
- English
- Weight
- 773 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0925-5001
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In this paper we study optimal control of the Navier-Stokes equations when the control acts as a pointwise constrained boundary condition of Dirichlet type. The problem is analyzed in the control space H 1/2 00 , the optimality system and second order sufficient optimality conditions are derived. Fo