Insensitive Functionals, Inconsistent Gradients, Spurious Minima, and Regularized Functionals in Flow Optimization Problems

DOI10.1080/10618560290034663zbMath1003.76023OpenAlexW2063358393MaRDI QIDQ3149417

Max D. Gunzburger, John Burkardt, Janet S. Peterson

Publication date: 24 November 2002

Published in: International Journal of Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10618560290034663

zbMATH Keywords

regularizationsteady incompressible Navier-Stokes equationsspurious minimachannel bumpinconsistency of functional gradient approximationsinsensitivity of functionals

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Flow control and optimization for incompressible viscous fluids (76D55)

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Uses Software

• ADIFOR
• Algorithm 611
• Odyssee

Cites Work

• Algorithm 611: Subroutines for Unconstrained Minimization Using a Model/Trust-Region Approach
• Special issue: ERCOFTAC workshop on adjoint methods, held at IMFT (Institut de Mécanique des Fluides de Toulouse), Toulouse, France, June 21--23, 1999
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