A Formula for the Derivative with Respect to Domain Variations in Navier--Stokes Flow Based on an Embedding Domain Method

DOI10.1137/S0363012901385708zbMath1037.49041MaRDI QIDQ4442993

Thomas Slawig

Publication date: 8 January 2004

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsdomain optimizationembedding domain technique

Mathematics Subject Classification ID

Fréchet and Gateaux differentiability in optimization (49J50) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Optimization of shapes other than minimal surfaces (49Q10)

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PDE-constrained control using Femlab-control of the Navier-Stokes equations ⋮ Drag minimization for the obstacle in compressible flow using shape derivatives and finite volumes ⋮ Analytical and numerical methods in shape optimization ⋮ Shape Sensitivity Analysis for Compressible Navier-Stokes Equations ⋮ A new fictitious domain method in shape optimization

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