Optimal Control in Navier-Stokes Equations

DOI10.1080/10618569808940862zbMath0917.76085OpenAlexW2113612725MaRDI QIDQ4220020

Maxim Marin, Mutsuto Kawahara, Akira Maruoka

Publication date: 11 August 1999

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

Full work available at URL: https://doi.org/10.1080/10618569808940862

zbMATH Keywords

Crank-Nicolson schemeenergy equationstabilized finite element methodSakawa-Shindo method

Mathematics Subject Classification ID

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) Forced convection (76R05)

Related Items

SENSITIVITY ANALYSIS FOR AN INCOMPRESSIBLE AEROELASTIC SYSTEM ⋮ Editorial ⋮ Shape optimization of body located in incompressible viscous flow ⋮ Optimal control applied to water flow using second order adjoint method ⋮ Optimal control of drainage basin considering moving boundary ⋮ Optimal control of thermal fluid flow using automatic differentiation ⋮ Shape Optimization of Body Located in Incompressible Viscous Flow Based on Optimal Control Theory ⋮ Optimal shape determination of a body located in incompressible viscous fluid flow ⋮ Solving inverse problems involving the Navier--Stokes equations discretized by a Lagrange--Galerkin method

Cites Work

• A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
• Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements
• On global convergence of an algorithm for optimal control