Adaptive Finite Element Approximation for a Constrained Optimal Control Problem via Multi-meshes

Authors:
Liang Ge;Wenbin Liu;Danping Yang
Affiliations:
Department of Mathematics, Shandong University, Shandong, China;KBS and IMS, University of Kent, Canterbury, UK CT2 7NF;Department of Mathematics, East China Normal University, Shanghai, China
Venue:
Journal of Scientific Computing
Year:
2009

Citing 9
Cited 0

Finite Element Method for Elliptic Problems

Finite Element Method for Elliptic Problems
Affine Invariant Convergence Analysis for Inexact Augmented Lagrangian-SQP Methods

SIAM Journal on Control and Optimization
Adaptive Finite Element Methods for Optimal Control of Partial Differential Equations: Basic Concept

SIAM Journal on Control and Optimization
Augmented Lagrange-SQP Methods with Lipschitz-Continuous Lagrange Multiplier Updates

SIAM Journal on Numerical Analysis
Augmented Lagrange-SQP Methods with Lipschitz-Continuous Lagrange Multiplier Updates

SIAM Journal on Numerical Analysis
Analysis of Inexact Trust-Region SQP Algorithms

SIAM Journal on Optimization
A Trust Region Method for Parabolic Boundary Control Problems

SIAM Journal on Optimization
Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems

SIAM Journal on Control and Optimization
On Multi-Mesh H-Adaptive Methods

Journal of Scientific Computing

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper, we study adaptive finite element approximation schemes for a constrained optimal control problem. We derive the equivalent a posteriori error estimators for both the state and the control approximation, which particularly suit an adaptive multi-mesh finite element scheme. The error estimators are then implemented and tested with promising numerical results.