Error estimates for parabolic optimal control problems with control and state constraints
type: Item
instance of: scholarly article
title: Error estimates for parabolic optimal control problems with control and state constraints
zbMATH Open document ID: 1273.49036
author: W. Gong
author: M. Hinze
published in: Computational Optimization and Applications
publication date: 2013-08-26T00:00:00Z
Mathematics Subject Classification ID: 49M25
Mathematics Subject Classification ID: 49K20
zbMATH DE Number: 6201600
zbMATH Keywords: optimal control problem
zbMATH Keywords: finite element method
zbMATH Keywords: a-priori error estimate
zbMATH Keywords: parabolic equation
zbMATH Keywords: control constraints
zbMATH Keywords: state constraints
MaRDI profile type: Publication
full work available at URL: s10589-013-9541-z
OpenAlex ID: W2012146181
cites work: Optimal Control of a Parabolic Equation with Time-Dependent State Constraints
cites work: Q4300595
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: Pontryagin's Principle for State-Constrained Boundary Control Problems of Semilinear Parabolic Equations
cites work: Q4162607
cites work: Finite element approximation of elliptic control problems with constraints on the gradient
cites work: Convergence of a Finite Element Approximation to a State-Constrained Elliptic Control Problem
cites work: Variational discretization of a parabolic control problem in the presence of pointwise state constraints
cites work: Q5506059
cites work: Adaptive Finite Element Methods for Parabolic Problems II: Optimal Error Estimates in $L_\infty L_2 $ and $L_\infty L_\infty $
cites work: Analysis of a Robust Finite Element Approximation for a Parabolic Equation with Rough Boundary Data
cites work: A mixed finite element scheme for optimal control problems with pointwise state constraints
cites work: A variational discretization concept in control constrained optimization: The linear-quadratic case
cites work: Optimization with PDE Constraints
cites work: Q5562267
cites work: Q5601627
cites work: Q5634306
cites work: Q3404757
cites work: A posteriori error estimates for optimal control problems governed by parabolic equations
cites work: A Priori Error Estimates for Finite Element Discretizations of Parabolic Optimization Problems with Pointwise State Constraints in Time
cites work: Q5506061
cites work: On regularization methods for the numerical solution of parabolic control problems with pointwise state constraints
cites work: Q4136468
cites work: Convergence Past Singularities for a Fully Discrete Approximation of Curvature-Driven Interfaces
cites work: Q4877098
cites work: Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations
cites work: Q5862241
cites work: Pointwise error estimates and asymptotic error expansion inequalities for the finite element method on irregular grids: Part I. Global estimates
DOI: 10.1007/S10589-013-9541-Z
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description: scientific article; zbMATH DE number 6201600