Distributed Control Problems for the Burgers Equation

Authors:
S. Volkwein
Affiliations:
Karl-Franzens-Universiät Graz, Institut für Mathematik, Heinrichstraβe 36, A-8010 Graz, Austria. stefan.volkwein@kfunigraz.ac.at
Venue:
Computational Optimization and Applications
Year:
2001

Citing 6
Cited 4

A Dissipative Feedback Control Synthesis for Systems Arising in Fluid Dynamics

SIAM Journal on Control and Optimization
Optimal Controls of Navier--Stokes Equations

SIAM Journal on Control and Optimization
Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition

Journal of Optimization Theory and Applications
Mesh-Independence for an Augmented Lagrangian-SQP Method in Hilbert Spaces

SIAM Journal on Control and Optimization
Application of the Augmented Lagrangian-SQP Method to Optimal Control Problems for the Stationary Burgers Equation

Computational Optimization and Applications
Optimization by Vector Space Methods

Optimization by Vector Space Methods

Verification of Second-Order Sufficient Optimality Conditions for Semilinear Elliptic and Parabolic Control Problems

Computational Optimization and Applications
On an Augmented Lagrangian SQP Method for a Class of Optimal Control Problems in Banach Spaces

Computational Optimization and Applications
Solving optimal control problems for the unsteady Burgers equation in COMSOL Multiphysics

Journal of Computational and Applied Mathematics
An all-at-once approach for the optimal control of the unsteady Burgers equation

Journal of Computational and Applied Mathematics

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this work a distributed optimal control problem for time-dependent Burgers equation is analyzed. To solve the nonlinear control problems the augmented Lagrangian-SQP technique is used depending upon a second-order sufficient optimality condition. Numerical test examples are presented.