Topological optimization method for a geometric control problem in Stokes flow

DOI10.1016/j.apnum.2009.01.008zbMath1165.76011OpenAlexW1980013683MaRDI QIDQ1030668

Maatoug Hassine, Mohamed Abdelwahed

Publication date: 2 July 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2009.01.008

zbMATH Keywords

sensitivity analysiscost functionshape optimization

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items (22)

Higher-order topological sensitivity analysis for the Laplace operator ⋮ Unnamed Item ⋮ Topology optimization of steady and unsteady incompressible Navier-Stokes flows driven by body forces ⋮ Topological sensitivity analysis method in identifying of point sources via time-fractional diffusion equation ⋮ Determination of rigid inclusions immersed in an isotropic elastic body from boundary measurement ⋮ On the topological gradient method for an inverse problem resolution ⋮ Topological asymptotic expansion for the full Navier–Stokes equations ⋮ A noniterative reconstruction method for the inverse potential problem for a time-fractional diffusion equation ⋮ Unnamed Item ⋮ Topology optimization of steady Navier-Stokes flow with body force ⋮ Topology optimization of unsteady incompressible Navier-Stokes flows ⋮ Topology optimization of time dependent viscous incompressible flows ⋮ Topological sensitivity analysis and Kohn-Vogelius formulation for detecting a rigid inclusion in an elastic body ⋮ Kohn-Vogelius formulation and topological sensitivity analysis based method for solving geometric inverse problems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Reconstruction of Tesla micro-valve using topological sensitivity analysis ⋮ Singular geometry perturbation based method for shape-topology optimization in unsteady Stokes flow ⋮ Topological sensitivity analysis for a three-dimensional parabolic type problem ⋮ Reconstruction of contact regions in semiconductor transistors using Dirichlet-Neumann cost functional approach ⋮ Topological sensitivity analysis of a time-dependent nonlinear problem ⋮ Shape optimization of turbine blade cooling system using topological sensitivity analysis method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A stable finite element for the Stokes equations
• Optimal control of two-and three-dimensional incompressible Navier-Stokes flows
• Structural optimization using sensitivity analysis and a level-set method.
• Shape optimization for Dirichlet problems: Relaxed formulation and optimality conditions
• On a shape control problem for the stationary Navier-Stokes equations
• Topology optimization of creeping fluid flows using a Darcy–Stokes finite element
• Optimum plane diffusers in laminar flow
• On the numerical computation of the minimum-drag profile in laminar flow
• Airfoil Design by an All-at-once Method*
• On the Topological Derivative in Shape Optimization
• Topological Sensitivity and Shape Optimization for the Stokes Equations
• On optimum design in fluid mechanics
• Perspectives in Flow Control and Optimization
• Topology optimization of fluids in Stokes flow
• Minimum drag shape in two‐dimensional viscous flow
• From Differential Calculus to 0‐1 Topological Optimization
• The topological asymptotic expansion for the Quasi-Stokes problem

This page was built for publication: Topological optimization method for a geometric control problem in Stokes flow