Iterative solution methods for mesh approximation of control and state constrained optimal control problem with observation in a part of the domain

DOI10.1134/S1995080214030081zbMath1316.65063MaRDI QIDQ2263100

A. V. Lapin, M. G. Khasanov

Publication date: 17 March 2015

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

numerical exampleDirichlet problemfinite elementsgradient methodsPoisson equationUzawa methodelliptic linear state equationnonsmooth Karush-Kuhn-Tucker (KKT) conditionsregularization with quadratic penaltystate and control constrained optimal control problemsUzawa-type iterative methods

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) Numerical methods based on necessary conditions (49M05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (3)

Differential game: ``Life line for non-stationary geometric constraints on controls ⋮ Preconditioned Uzawa-type method for a state constrained parabolic optimal control problem with boundary control ⋮ Uzawa-type iterative solution methods for constrained saddle point problems

Cites Work

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