Sensitivity analysis of a shape control problem for the Navier--Stokes equations

DOI10.11568/kjm.2017.25.3.405zbMath1462.49069OpenAlexW2757716696MaRDI QIDQ5208549

Hongchul Kim

Publication date: 8 January 2020

Full work available at URL: http://journal.kkms.org/index.php/kjm/article/download/552/377

zbMATH Keywords

Navier-Stokes equationssensitivity analysisshape controloptimal designdrag minimization

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Sensitivity analysis for optimization problems on manifolds (49Q12)

Cites Work

• Shape design sensitivity of a membrane
• Anatomy of the shape Hessian
• Towards the computation of minimum drag profiles in viscous laminar flow
• The finite element method with Lagrangian multipliers
• Su un problema al contorno relativo al sistema di equazioni di Stokes
• Directional derivative of a minimax function
• Finite Element Methods for Navier-Stokes Equations
• Conception optimale ou identification de formes, calcul rapide de la dérivée directionnelle de la fonction coût
• Shape Sensitivity Analysis via Min Max Differentiability
• Analysis and finite element approximation of optimal control problems for the stationary Navier-Stokes equations with Dirichlet controls
• Treating Inhomogeneous Essential Boundary Conditions in Finite Element Methods and the Calculation of Boundary Stresses
• Existence of an Optimal Solution of a Shape Control Problem for the Stationary Navier--Stokes Equations
• On optimum design in fluid mechanics
• Differentiability of a maximum function. I
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