Adaptive discontinuous Galerkin methods for state constrained optimal control problems governed by convection diffusion equations
type: Item
instance of: scholarly article
title: Adaptive discontinuous Galerkin methods for state constrained optimal control problems governed by convection diffusion equations
zbMATH Open document ID: 1333.49047
author: H. Yücel
author: P. Benner
published in: Computational Optimization and Applications
publication date: 2015-09-21T00:00:00Z
Mathematics Subject Classification ID: 49M25
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 6483788
zbMATH Keywords: optimal control problems
zbMATH Keywords: state constraints
zbMATH Keywords: discontinuous Galerkin methods
zbMATH Keywords: convection diffusion equations
zbMATH Keywords: a-posteriori error estimates
MaRDI profile type: Publication
full work available at URL: s10589-014-9691-7
OpenAlex ID: W2071110540
cites work: Optimal control of the convection-diffusion equation using stabilized finite element methods
cites work: A posteriori error estimation and adaptivity for elliptic optimal control problems with state constraints
cites work: A comparison of a Moreau-Yosida-based active set strategy and interior point methods for constrained optimal control problems
cites work: Primal-Dual Strategy for Constrained Optimal Control Problems
cites work: On the structure of Lagrange multipliers for state-constrained optimal control problems
cites work: On Local Super-Penalization of Interior Penalty Discontinuous Galerkin Methods
cites work: Control of an Elliptic Problem with Pointwise State Constraints
cites work: A Convergent Adaptive Algorithm for Poisson’s Equation
cites work: A mixed finite element scheme for optimal control problems with pointwise state constraints
cites work: A posteriori error control of a state constrained elliptic control problem
cites work: A Posteriori Error Representations for Elliptic Optimal Control Problems with Control and State Constraints
cites work: Local Error Estimates for SUPG Solutions of Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems
cites work: Preconditioned Conjugate Gradient Method for Optimal Control Problems with Control and State Constraints
cites work: Moreau–Yosida Regularization in State Constrained Elliptic Control Problems: Error Estimates and Parameter Adjustment
cites work: Goal-Oriented Adaptivity in Pointwise State Constrained Optimal Control of Partial Differential Equations
cites work: Ana posteriorierror analysis of adaptive finite element methods for distributed elliptic control problems with control constraints
cites work: PDE-Constrained Optimization Subject to Pointwise Constraints on the Control, the State, and Its Derivative
cites work: Variational discretization of Lavrentiev-regularized state constrained elliptic optimal control problems
cites work: Discretization of interior point methods for state constrained elliptic optimal control problems: Optimal error estimates and parameter adjustment
cites work: Q3572295
cites work: A posteriori error estimation of finite element approximations of pointwise state constrained distributed control problems
cites work: Adaptive finite element methods for mixed control-state constrained optimal control problems for elliptic boundary value problems
cites work: Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems
cites work: Semi-smooth Newton methods for state-constrained optimal control problems
cites work: A virtual control concept for state constrained optimal control problems
cites work: Investigation of commutative properties of discontinuous Galerkin methods in PDE constrained optimal control problems
cites work: Local Error Analysis of Discontinuous Galerkin Methods for Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems
cites work: Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems
cites work: On two numerical methods for state-constrained elliptic control problems
cites work: Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
cites work: A-posteriori error estimates for optimal control problems with state and control constraints
cites work: Barrier Methods for Optimal Control Problems with State Constraints
cites work: A robust a-posteriori error estimator for discontinuous Galerkin methods for convection-diffusion equations
cites work: Regular Lagrange Multipliers for Control Problems with Mixed Pointwise Control-State Constraints
cites work: Robust A Posteriori Error Estimates for Stationary Convection-Diffusion Equations
cites work: A posteriori error estimates for a finite element discretization of interior point methods for an elliptic optimization problem with state constraints
cites work: A priori and a posteriori error analysis of edge stabilization Galerkin method for the optimal control problem governed by convection-dominated diffusion equation
cites work: Distributed Optimal Control of Diffusion-Convection-Reaction Equations Using Discontinuous Galerkin Methods
cites work: Adaptive Symmetric Interior Penalty Galerkin (SIPG) method for optimal control of convection diffusion equations with control constraints
cites work: Local discontinuous Galerkin approximation of convection-dominated diffusion optimal control problems with control constraints
cites work: Regularity and stability for the mathematical programming problem in Banach spaces
Wikidata QID: Q115223984
DOI: 10.1007/S10589-014-9691-7
description: scientific article; zbMATH DE number 6483788