Removing holes in topological shape optimization

DOI10.1051/cocv:2007045zbMath1140.49029OpenAlexW2144813620MaRDI QIDQ5447486

Philippe Guillaume, Maatoug Hassine

Publication date: 6 March 2008

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/244805

zbMATH Keywords

shape optimizationStokes equationstopological optimizationtopological gradienttopological sensitivity

Mathematics Subject Classification ID

Optimization of other properties in solid mechanics (74P10) Optimization of shapes other than minimal surfaces (49Q10) Topological methods for optimization problems in solid mechanics (74P15) Compliance or weight optimization in solid mechanics (74P05) Sensitivity analysis for optimization problems on manifolds (49Q12)

Related Items (11)

Topological sensitivity analysis method in identifying of point sources via time-fractional diffusion equation ⋮ Topological sensitivity analysis for the 3D nonlinear Navier–Stokes equations ⋮ Topological asymptotic expansion for the full Navier–Stokes equations ⋮ A noniterative reconstruction method for the inverse potential problem for a time-fractional diffusion equation ⋮ Topological derivatives of shape functionals. II: First-order method and applications ⋮ Kohn-Vogelius formulation and topological sensitivity analysis based method for solving geometric inverse problems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Optimal shape design for fluid flow using topological perturbation technique ⋮ Singular geometry perturbation based method for shape-topology optimization in unsteady Stokes flow

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