Regularized state-constrained boundary optimal control of the Navier-Stokes equations

DOI10.1016/j.jmaa.2009.02.042zbMath1162.49032OpenAlexW2089767728MaRDI QIDQ1023021

Irwin Yousept, Juan Carlos De Los Reyes

Publication date: 10 June 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.02.042

zbMATH Keywords

Navier-Stokes equationsboundary optimal controlsemi-smooth Newton algorithmstate-constraintsLavrentiev type regularizationsource representationMoreau-Yosida type regularization

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Newton-type methods (49M15) Navier-Stokes equations (35Q30)

Related Items

Optimal control of fluid dynamic systems with state constraint of pointwise type ⋮ Differentiability properties for boundary control of fluid-structure interactions of linear elasticity with Navier-Stokes equations with mixed-boundary conditions in a channel ⋮ Injection-Suction Control for Two-Dimensional Navier--Stokes Equations with Slippage ⋮ Optimal Boundary Control of Hyperbolic Balance Laws with State Constraints

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite element approximation of the Navier-Stokes equations
• Regularization of state-constrained elliptic optimal control problems with nonlocal radiation interface conditions
• A semi-smooth Newton method for regularized state-constrained optimal control of the Navier-Stokes equations
• A regularization method for the numerical solution of elliptic boundary control problems with pointwise state constraints
• Optimal control problems with state constraints in fluid mechanics and combustion.
• Augmented Lagrangian methods for nonsmooth, convex optimization in Hilbert spaces
• Primal-dual strategy for state-constrained optimal control problems
• State-constrained optimal control of the three-dimensional stationary Navier-Stokes equations
• Semi-smooth Newton methods for state-constrained optimal control problems
• Optimal control of PDEs with regularized pointwise state constraints
• A semi-smooth Newton method for control constrained boundary optimal control of the Navier-Stokes equations
• Boundary Control of Semilinear Elliptic Equations with Pointwise State Constraints
• Error Estimates for the Numerical Approximation of a Distributed Control Problem for the Steady-State Navier–Stokes Equations
• Sufficient Second-Order Optimality Conditions for Semilinear Control Problems with Pointwise State Constraints
• Control of an Elliptic Problem with Pointwise State Constraints
• Analysis and Finite Element Approximation of Optimal Control Problems for the Stationary Navier-Stokes Equations with Distributed and Neumann Controls
• Primal-Dual Strategy for Constrained Optimal Control Problems
• Boundary control of semilinear elliptic equations with discontinuous leading coefficients and unbounded controls
• The Primal-Dual Active Set Strategy as a Semismooth Newton Method
• Second order methods for boundary control of the instationary Navier-Stokes system
• The Velocity Tracking Problem for Navier--Stokes Flows With Boundary Control
• The Primal-Dual Active Set Method for Nonlinear Optimal Control Problems with Bilateral Constraints
• Optimal Controls of 3-Dimensional Navier--Stokes Equations with State Constraints
• Optimal Control of the Stationary Navier–Stokes Equations with Mixed Control‐State Constraints