Flow Control with Regularized State Constraints

DOI10.1007/978-3-540-71439-2_22zbMath1396.76039OpenAlexW168986167MaRDI QIDQ4686715

Fredi Tröltzsch, Juan Carlos De Los Reyes

Publication date: 4 October 2018

Published in: Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-71439-2_22

zbMATH Keywords

optimal control problemstate constraintsemismooth Newton methodcomplementarity systemsmooth Newton method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Flow control and optimization for incompressible viscous fluids (76D55)

Cites Work

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• A semi-smooth Newton method for regularized state-constrained optimal control of the Navier-Stokes equations
• On some control problems in fluid mechanics
• Optimal control problems with state constraints in fluid mechanics and combustion.
• State-constrained optimal control of the three-dimensional stationary Navier-Stokes equations
• Constrained optimal control of Navier--Stokes flow by semismooth Newton methods
• A semi-smooth Newton method for control constrained boundary optimal control of the Navier-Stokes equations
• Analysis and Finite Element Approximation of Optimal Control Problems for the Stationary Navier-Stokes Equations with Distributed and Neumann Controls
• The Primal-Dual Active Set Strategy as a Semismooth Newton Method
• The Velocity Tracking Problem for Navier--Stokes Flows With Boundary Control
• Analysis and Approximation of the Velocity Tracking Problem for Navier--Stokes Flows with Distributed Control
• Second Order Methods for Optimal Control of Time-Dependent Fluid Flow
• A Primal-Dual Active Set Method for Bilaterally Control Constrained Optimal Control of the Navier–Stokes Equations
• On an Elliptic Optimal Control Problem with Pointwise Mixed Control-State Constraints