Optimal boundary control of the unsteady Burgers equation with simultaneous space-time discretization

DOI10.1002/oca.2079zbMath1301.49076OpenAlexW1914717441MaRDI QIDQ2925128

Fikriye Yılmaz, Bülent Karasözen

Publication date: 20 October 2014

Published in: Optimal Control Applications and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/oca.2079

zbMATH Keywords

finite elementsoptimal boundary controlunsteady Burgers equation

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) KdV equations (Korteweg-de Vries equations) (35Q53) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Discrete approximations in optimal control (49M25)

Related Items (3)

High-order integral nodal discontinuous Gegenbauer-Galerkin method for solving viscous Burgers' equation ⋮ Chebyshev pseudo-spectral method for optimal control problem of Burgers’ equation ⋮ Optimal control of viscous Burgers equation via an adaptive nonmonotone Barzilai–Borwein gradient method

Uses Software

• COMSOL

Cites Work

• Solving optimal control problems for the unsteady Burgers equation in COMSOL multiphysics
• Adjoint concepts for the optimal control of Burgers equation
• Strategies for time-dependent PDE control with inequality constraints using an integrated modeling and simulation environment
• Lagrange-SQP techniques for the control constrained optimal boundary control for the Burgers equation
• Analysis of instantaneous control for the Burgers equation
• Domain decomposition methods for advection-dominated linear-quadratic elliptic optimal control problems
• A comparison of algorithms for control constrained optimal control of the Burgers equation
• On Finite Element Error Estimates for Optimal Control Problems with Elliptic PDEs
• A Smooth Regularization of the Projection Formula for Constrained Parabolic Optimal Control Problems
• The SQP method for control constrained optimal control of the Burgers equation
• Newton linearization of the incompressible Navier–Stokes equations
• Affine Invariant Convergence Analysis for Inexact Augmented Lagrangian-SQP Methods
• Mesh-Independence for an Augmented Lagrangian-SQP Method in Hilbert Spaces
• Proper orthogonal decomposition for optimality systems
• Distributed control problems for the Burgers equation

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