Analysis and finite element approximation of optimal control problems for a Ladyzhenskaya model for stationary, incompressible, viscous flows

DOI10.1016/0377-0427(95)00072-0zbMath0835.76046OpenAlexW2142148993MaRDI QIDQ1903667

Max D. Gunzburger, Qiang Du, L. Steven Hou

Publication date: 12 December 1995

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00072-0

zbMATH Keywords

regularityconvergenceviscous dragexistence of optimal solutionsLagrange multiplier techniquescontrol of distributed type

Mathematics Subject Classification ID

Incompressible viscous fluids (76D99) Finite element methods applied to problems in fluid mechanics (76M10) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (8)

Analysis and finite element approximation of a Ladyzhenskaya model for viscous flow in streamfunction form ⋮ Unnamed Item ⋮ Optimal control for quasi-Newtonian flows with defective boundary conditions ⋮ The Das-Moser commutator closure for filtering through a boundary is well-posed ⋮ The alternating group explicit (AGE) iterative method for solving a Ladyzhenskaya model for stationary incompressible viscous flow ⋮ A direct approach to the finite element solution of elliptic optimal control problems ⋮ A new stabilized finite element method for optimal control for a Ladyzhenskaya model for unsteady flows ⋮ Analysis of a Fluid-Structure Interaction Problem Recast in an Optimal Control Setting

Cites Work

• Finite element approximation of the Navier-Stokes equations
• Analysis of a Ladyzhenskaya model for incompressible viscous flow
• Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
• Young Measure‐Valued Solutions for Non-Newtonian Incompressible Fluids¹
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