Variational discretization of Lavrentiev-regularized state constrained elliptic optimal control problems
type: Item
instance of: scholarly article
title: Variational discretization of Lavrentiev-regularized state constrained elliptic optimal control problems
zbMATH Open document ID: 1207.49037
published in: Computational Optimization and Applications
publication date: 2010-08-23T00:00:00Z
Mathematics Subject Classification ID: 49M25
Mathematics Subject Classification ID: 49N10
Mathematics Subject Classification ID: 35J20
zbMATH DE Number: 5774172
zbMATH Keywords: optimal control of elliptic equations
zbMATH Keywords: quadratic programming
zbMATH Keywords: pointwise state constraints
zbMATH Keywords: mixed constraints
zbMATH Keywords: Lavrentiev regularization
author: M. Hinze
author: Christian Meyer
MaRDI profile type: Publication
full work available at URL: s10589-008-9198-1
OpenAlex ID: W2081146685
cites work: Boundary control of semilinear elliptic equations with discontinuous leading coefficients and unbounded controls
cites work: Primal-Dual Strategy for Constrained Optimal Control Problems
cites work: Primal-dual strategy for state-constrained optimal control problems
cites work: On the structure of Lagrange multipliers for state-constrained optimal control problems
cites work: \(L^ 2\) estimates for the finite element method for the Dirichlet problem with singular data
cites work: Control of an Elliptic Problem with Pointwise State Constraints
cites work: Boundary Control of Semilinear Elliptic Equations with Pointwise State Constraints
cites work: Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
cites work: Convergence of a Finite Element Approximation to a State-Constrained Elliptic Control Problem
cites work: Numerical Analysis of a Control and State Constrained Elliptic Control Problem with Piecewise Constant Control Approximations
cites work: Path-following Methods for a Class of Constrained Minimization Problems in Function Space
cites work: Feasible and Noninterior Path‐Following in Constrained Minimization with Low Multiplier Regularity
cites work: A variational discretization concept in control constrained optimization: The linear-quadratic case
cites work: Q3092792
cites work: Q5506061
cites work: On two numerical methods for state-constrained elliptic control problems
cites work: Optimal control of PDEs with regularized pointwise state constraints
cites work: The convergence of an interior point method for an elliptic control problem with mixed control-state constraints
DOI: 10.1007/S10589-008-9198-1
Recommended article: State-constrained optimal control of nonlinear elliptic variational inequalities
Recommended article: Variational discretization of a parabolic control problem in the presence of pointwise state constraints
Recommended article: Variational discretization for parabolic optimal control problems with control constraints
Recommended article: Lavrentiev-prox-regularization for optimal control of PDEs with state constraints
Recommended article: Variational discretization for optimal control problems governed by parabolic equations
Recommended article: Discretization Methods for Nonconvex Optimal Control Problems with State Constraints
Recommended article: 6 Variational discretization approach applied to an optimal control problem with bounded measure controls
Recommended article: Finite Element Discretization of State-Constrained Elliptic Optimal Control Problems with Semilinear State Equation
Recommended article: Optimal Control of Problems Governed by Abstract Elliptic Variational Inequalities with State Constraints
Recommended article: Discretization of interior point methods for state constrained elliptic optimal control problems: Optimal error estimates and parameter adjustment
description: scientific article; zbMATH DE number 5774172