Coupling Between Shape Gradient and Topological Derivative in 2D Incompressible Navier-Stokes Flows

DOI10.1007/978-3-030-57336-2_13zbMath1462.35252OpenAlexW3107576645MaRDI QIDQ5855877

Aliou Seck, Alassane Sy, Diaraf Seck

Publication date: 22 March 2021

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-57336-2_13

zbMATH Keywords

numerical methodNavier-Stokes systemadjoint equationsshape derivativetopological derivative

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Optimization of shapes other than minimal surfaces (49Q10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

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• Topological derivatives in shape optimization
• Variational methods in shape optimization problems
• The Topological Asymptotic for PDE Systems: The Elasticity Case
• Conception optimale ou identification de formes, calcul rapide de la dérivée directionnelle de la fonction coût

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