The approximation of boundary control problems for fluid flows with an application to control by heating and cooling

DOI10.1016/0045-7930(93)90056-FzbMath0778.76081MaRDI QIDQ686896

Thomas P. Svobodny, L. Steven Hou, Max D. Gunzburger

Publication date: 17 October 1993

Published in: Computers and Fluids (Search for Journal in Brave)

zbMATH Keywords

hot spotscost functionalmethod of Lagrange multipliersaccuracy of approximationsoptimal states

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Variational methods applied to problems in fluid mechanics (76M30) Finite element methods applied to problems in fluid mechanics (76M10)

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Cites Work

• Numerical approximation of an optimal control problem associated with the Navier-Stokes equations
• On some control problems in fluid mechanics
• Optimization problems for the Navier-Stokes equations with regular boundary controls
• Analysis and Finite Element Approximation of Optimal Control Problems for the Stationary Navier-Stokes Equations with Distributed and Neumann Controls
• Analysis and finite element approximation of optimal control problems for the stationary Navier-Stokes equations with Dirichlet controls
• Boundary Velocity Control of Incompressible Flow with an Application to Viscous Drag Reduction
• Unnamed Item