Numerical Analysis of State-constrained Optimal Control Problems for PDEs
From MaRDI portal
Publication:2961079
DOI10.1007/978-3-0348-0133-1_24zbMath1356.49051OpenAlexW34415382MaRDI QIDQ2961079
Publication date: 17 February 2017
Published in: International Series of Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-0348-0133-1_24
Large-scale problems in mathematical programming (90C06) Nonlinear programming (90C30) Optimality conditions for problems involving partial differential equations (49K20) Numerical methods based on necessary conditions (49M05) Semi-infinite programming (90C34) Discrete approximations in optimal control (49M25)
Related Items
Error estimates for halfspace regularization of state constrained multiobjective elliptic control problems, An ADMM numerical approach to linear parabolic state constrained optimal control problems, New regularity results and finite element error estimates for a class of parabolic optimal control problems with pointwise state constraints
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A virtual control concept for state constrained optimal control problems
- A regularization method for the numerical solution of elliptic boundary control problems with pointwise state constraints
- Strategies for time-dependent PDE control with inequality constraints using an integrated modeling and simulation environment
- Second order sufficient optimality conditions for nonlinear parabolic control problems with state constraints
- A variational discretization concept in control constrained optimization: The linear-quadratic case
- Uniform convergence of the FEM applications to state constrained control problems
- The convergence of an interior point method for an elliptic control problem with mixed control-state constraints
- Mesh-independence of semismooth Newton methods for Lavrentiev-regularized state constrained nonlinear optimal control problems
- Semi-smooth Newton methods for state-constrained optimal control problems
- Optimal control of PDEs with regularized pointwise state constraints
- A Comparison of a Moreau--Yosida-Based Active Set Strategy and Interior Point Methods for Constrained Optimal Control Problems
- On linear-quadratic elliptic control problems of semi-infinite type
- A Priori Error Estimates for the Finite Element Discretization of Elliptic Parameter Identification Problems with Pointwise Measurements
- Existence of Regular Lagrange Multipliers for a Nonlinear Elliptic Optimal Control Problem with Pointwise Control-State Constraints
- Convergence analysis of the SQP method for nonlinear mixed-constrained elliptic optimal control problems
- Convergence of a Finite Element Approximation to a State-Constrained Elliptic Control Problem
- Error estimates for the finite element approximation of a semilinear elliptic control problem with state constraints and finite dimensional control space
- Barrier Methods for Optimal Control Problems with State Constraints
- Moreau–Yosida Regularization in State Constrained Elliptic Control Problems: Error Estimates and Parameter Adjustment
- On regularization methods for the numerical solution of parabolic control problems with pointwise state constraints
- Sufficient Second-Order Optimality Conditions for Semilinear Control Problems with Pointwise State Constraints
- Pontryagin's Principle for State-Constrained Boundary Control Problems of Semilinear Parabolic Equations
- Error Estimates for the Numerical Approximation of Semilinear Elliptic Control Problems with Finitely Many State Constraints
- The Primal-Dual Active Set Strategy as a Semismooth Newton Method
- Path-following Methods for a Class of Constrained Minimization Problems in Function Space
- Sufficient Second‐Order Optimality Conditions for an Elliptic Optimal Control Problem with Pointwise Control‐State Constraints