Finite element approximation and iterative method solution of elliptic control problem with constraints to gradient of state

DOI10.1134/S1995080215010059zbMath1327.65121OpenAlexW2151637188MaRDI QIDQ2515958

R. Z. Dautov, A. V. Lapin

Publication date: 7 August 2015

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

Full work available at URL: https://doi.org/10.1134/s1995080215010059

zbMATH Keywords

finite element methodpreconditioningiterative methodelliptic optimal control problemconstrained saddle point problem

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

• Unnamed Item
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• 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
• Elliptic control problems with gradient constraints -- variational discrete versus piecewise constant controls
• A priori error estimates for optimal control problems with pointwise constraints on the gradient of the state
• 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
• Finite element approximation of elliptic control problems with constraints on the gradient
• 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
• Optimal control of semilinear elliptic equations with pointwise constraints on the gradient of the state
• On 3d dynamic control of secondary cooling in continuous casting process
• Primal-dual strategy for state-constrained optimal control problems
• Asynchronous domain decomposition methods for continuous casting problem
• The convergence of an interior point method for an elliptic control problem with mixed control-state constraints
• 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
• Barrier Methods for Optimal Control Problems with Convex Nonlinear Gradient State Constraints
• Moreau–Yosida Regularization in State Constrained Elliptic Control Problems: Error Estimates and Parameter Adjustment
• A semi-smooth Newton method for solving elliptic equations with gradient constraints
• Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations
• Predictor-Corrector Methods for Solving Continuous Casting Problem
• Weak-Duality Based Adaptive Finite Element Methods for PDE-Constrained Optimization with Pointwise Gradient STATE-Constratints

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