Numerical Solution of Optimal Distributed Control Problems for Incompressible Flows

DOI10.1080/10618569708940798zbMath0892.76044OpenAlexW2099291354MaRDI QIDQ4362118

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Publication date: 12 August 1998

Published in: International Journal of Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10618569708940798

zbMATH Keywords

optimality systemLagrange multiplier rulesfully discrete approximation algorithmpiecewise optimal controlpiecewise-in-time optimal control

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (8)

Computations of Optimal Controls for Incompressible Flows ⋮ Penalty Methods for Numerical Approximations of Optimal Boundary Flow Control Problems ⋮ Computations of Optimal Controls for Incompressible Flows ⋮ Adjoint-based optimization of particle trajectories in laminar flows ⋮ A monolithic optimal control method for displacement tracking of Cosserat rod with application to reconstruction of \textit{C. elegans} locomotion ⋮ Suppression of vortex shedding for flow around a circular cylinder using optimal control ⋮ Numerical solutions of a robust control problem associated with the quasi-geostrophic equation of the ocean ⋮ Analysis and approximation for linear feedback control for tracking the velocity in Navier-Stokes flows

Cites Work

• The approximation of boundary control problems for fluid flows with an application to control by heating and cooling
• Dynamic programming of the Navier-Stokes equations
• Optimization problems for the Navier-Stokes equations with regular boundary controls
• PROPERTIES OF SOLUTIONS OF SOME EXTREMAL PROBLEMS CONNECTED WITH THE NAVIER-STOKES SYSTEM
• Finite Element Methods for Navier-Stokes Equations
• CONTROL PROBLEMS AND THEOREMS CONCERNING THE UNIQUE SOLVABILITY OF A MIXED BOUNDARY VALUE PROBLEM FOR THE THREE-DIMENSIONAL NAVIER-STOKES AND EULER EQUATIONS
• On a Galerkin–Lagrange Multiplier Method for the Stationary Navier–Stokes Equations
• Boundary Velocity Control of Incompressible Flow with an Application to Viscous Drag Reduction
• Treating Inhomogeneous Essential Boundary Conditions in Finite Element Methods and the Calculation of Boundary Stresses
• An optimal control problem in exterior hydrodynamics
• Optimal Controls of Navier–Stokes Equations
• Some questions in the optimal control of distributed systems

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