On an effective approach in shape optimization problem for Stokes equation

DOI10.1007/s11590-023-01970-5zbMath1527.49032OpenAlexW4315645736MaRDI QIDQ6110636

Ibrahim Khalil, H. Ouaissa, Unnamed Author, Abdelkrim Chakib

Publication date: 6 July 2023

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-023-01970-5

zbMATH Keywords

shape optimizationconvex domainsupport functionsStokes equationshape derivativeMinkowski deformation

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Flow control and optimization for incompressible viscous fluids (76D55) Sensitivity analysis for optimization problems on manifolds (49Q12) PDE constrained optimization (numerical aspects) (49M41)

Cites Work

• Optimal treatment of structures
• Shape optimization for Stokes flows using sensitivity analysis and finite element method
• On a numerical shape optimization approach for a class of free boundary problems
• Variation and optimization of formes. A geometric analysis
• On a Shape Derivative Formula in the Brunn--Minkowski Theory
• Unnamed Item

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