Adjoint gradients compared to gradients from algorithmic differentiation in instantaneous control of the Navier-Stokes equations

DOI10.1080/1055678031000115331zbMath1051.49017OpenAlexW2021036828MaRDI QIDQ4457887

Michael Hinze, Thomas Slawig

Publication date: 17 March 2004

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1055678031000115331

zbMATH Keywords

performancediscretizationNavier-Stokes equationsaccuracyadjoint equationinstantaneous controlalgorithmic differentiationadjoint gradients

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Navier-Stokes equations for incompressible viscous fluids (76D05) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25) Flow control and optimization for incompressible viscous fluids (76D55)

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Automatic differentiation of explicit Runge-Kutta methods for optimal control, A balanced truncation-based strategy for optimal control of evolution problems

Uses Software

• TAMC
• TAF