State-constrained optimal control of an elliptic equation with its right-hand side used as control function

DOI10.1134/S1995080211040287zbMath1255.49045MaRDI QIDQ694467

M. G. Khasanov, A. V. Lapin

Publication date: 12 December 2012

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

zbMATH Keywords

optimal controlfinite element methoditerative methodsconstrained saddle point problem

Mathematics Subject Classification ID

Discrete approximations in optimal control (49M25) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (6)

Differential game: ``Life line for non-stationary geometric constraints on controls ⋮ Solution of elliptic optimal control problem with pointwise and non-local state constraints ⋮ Method of penalization for the state equation for an elliptical optimal control problem ⋮ Iterative solution methods for mesh approximation of control and state constrained optimal control problem with observation in a part of the domain ⋮ Uzawa-type iterative solution methods for constrained saddle point problems ⋮ Finite element approximation and iterative method solution of elliptic control problem with constraints to gradient of state

Cites Work

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• Augmented Lagrangian method for distributed optimal control problems with state constraints
• Primal-dual strategy for state-constrained optimal control problems
• A Comparison of a Moreau--Yosida-Based Active Set Strategy and Interior Point Methods for Constrained Optimal Control Problems

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