A comparison of algorithms for control constrained optimal control of the Burgers equation

DOI10.1007/s10092-004-0092-7zbMath1168.49309OpenAlexW1980812397MaRDI QIDQ2504790

Juan Carlos De Los Reyes, Karl Kunisch

Publication date: 28 September 2006

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-004-0092-7

Mathematics Subject Classification ID

Numerical methods involving duality (49M29) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items

Distributed optimal control of the viscous Burgers equation via a Legendre pseudo-spectral approach, Optimal boundary control of the unsteady Burgers equation with simultaneous space-time discretization, Chebyshev pseudo-spectral method for optimal control problem of Burgers’ equation, Consistency of Monte Carlo estimators for risk-neutral PDE-constrained optimization, Commutative properties for conservative space-time DG discretizations of optimal control problems involving the viscous Burgers equation, Optimal control of the viscous Degasperis-Procesi equation, Solving optimal control problems for the unsteady Burgers equation in COMSOL multiphysics, One-shot methods in function space for PDE-constrained optimal control problems, Necessary optimality conditions for optimal distributed and (Neumann) boundary control of Burgers equation in both fixed and free final horizon cases, On a semi-smooth Newton method and its globalization, Primal–dual active set method for control constrained optimal control of the Stokes equations, Sensitivity analysis approach for reduced-order approximations of optimal control problems governed by Burgers equation, A semi-smooth Newton method for control constrained boundary optimal control of the Navier-Stokes equations, Optimal control of the viscous Dullin-Gottwalld-Holm equation, Finite element error estimates for an optimal control problem governed by the Burgers equation