Solution of elliptic optimal control problem with pointwise and non-local state constraints

DOI10.3103/S1066369X17040041zbMath1377.65072OpenAlexW2601999240MaRDI QIDQ2399439

D. G. Zalyalov, A. V. Lapin

Publication date: 23 August 2017

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x17040041

zbMATH Keywords

convergenceiterative methodsnumerical experimentfinite difference approximationstate constraintconstrained saddle point problemelliptic optimal control

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (1)

Uzawa-type iterative solution methods for constrained saddle point problems

Cites Work

• Iterative solution methods for variational inequalities with nonlinear main operator and constraints to gradient of solution
• Discretization of interior point methods for state constrained elliptic optimal control problems: Optimal error estimates and parameter adjustment
• Preconditioned Uzawa-type methods for finite-dimensional constrained saddle point problems
• State-constrained optimal control of an elliptic equation with its right-hand side used as control function
• A regularization method for the numerical solution of elliptic boundary control problems with pointwise state constraints
• Pointwise accuracy of a finite element method for nonlinear variational inequalities
• A Comparison of a Moreau--Yosida-Based Active Set Strategy and Interior Point Methods for Constrained Optimal Control Problems
• Iterative Solution Methods for Large-Scale Constrained Saddle-Point Problems
• Moreau–Yosida Regularization in State Constrained Elliptic Control Problems: Error Estimates and Parameter Adjustment
• Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations
• Method of penalization for the state equation for an elliptical optimal control problem
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