Adaptive finite element approximation for an elliptic optimal control problem with both pointwise and integral control constraints
type: Item
instance of: scholarly article
title: Adaptive finite element approximation for an elliptic optimal control problem with both pointwise and integral control constraints
zbMATH Open document ID: 1311.65083
author: Ning Du
author: Liang Ge
author: Wenbin Liu
published in: Journal of Scientific Computing
publication date: 2014-11-25T00:00:00Z
review text: The authors study the adaptive finite element approximation for an elliptic optimal control problem with both pointwise and integral control constraints. The explicit solutions of the variational inequalities in the continuous and discrete cases are obtained and a priori and a posteriori error estimates are derived. Finally, numerical test results are presented.
reviewed by: Basilis Kokkinis
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 65K15
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 49M25
zbMATH DE Number: 6373632
zbMATH Keywords: optimal control problem
zbMATH Keywords: finite element approximation
zbMATH Keywords: adaptive finite element method
zbMATH Keywords: a posteriori error estimates
zbMATH Keywords: multi-meshes
zbMATH Keywords: variational inequalities
zbMATH Keywords: numerical result
MaRDI profile type: Publication
full work available at URL: s10915-013-9790-0
OpenAlex ID: W2010114282
cites work: A posteriori error estimation in finite element analysis
cites work: Adaptive Finite Element Methods for Optimal Control of Partial Differential Equations: Basic Concept
cites work: An optimal control approach to a posteriori error estimation in finite element methods
cites work: Constructural-theory network of conducting paths for cooling a heat generating volume
cites work: Second-Order Necessary and Sufficient Optimality Conditions for Optimization Problems and Applications to Control Theory
cites work: Q4162607
cites work: Variational discretization of a parabolic control problem in the presence of pointwise state constraints
cites work: A Convergent Adaptive Algorithm for Poisson’s Equation
cites work: Adaptive finite element approximation for a constrained optimal control problem via multi-meshes
cites work: Analysis of inexact trust-region SQP algorithms
cites work: A Trust Region Method for Parabolic Boundary Control Problems
cites work: Q4139197
cites work: Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems
cites work: On multi-mesh \(H\)-adaptive methods
cites work: Q5601627
cites work: ERROR ESTIMATES IN THE APPROXIMATION OF OPTIMIZATION PROBLEMS GOVERNED BY NONLINEAR OPERATORS
cites work: A posteriori error estimates for distributed convex optimal control problems
cites work: Finite Element Approximations of an Optimal Control Problem with Integral State Constraint
cites work: Data Oscillation and Convergence of Adaptive FEM
cites work: Finite element analysis of an optimal control problem governed by Stokes equations with \(L^2\)-norm state-constraints
cites work: Numerical analysis of a system of singularly perturbed convection-diffusion equations related to optimal control
cites work: Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
cites work: Multigrid Methods for Elliptic Optimal Control Problems with Pointwise State Constraints
cites work: Efficient and reliable a posteriori error estimators for elliptic obstacle problems
cites work: A posteriori error estimators for the Stokes equations
cites work: Q4886148
DOI: 10.1007/S10915-013-9790-0
description: scientific article; zbMATH DE number 6373632