A-revolve: an adaptive memory-reduced procedure for calculating adjoints; with an application to computing adjoints of the instationary Navier–Stokes system

DOI10.1080/10556780410001684158zbMath1086.49024OpenAlexW1970661577MaRDI QIDQ3369517

Michael Hinze, Julia Sternberg

Publication date: 2 February 2006

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

Full work available at URL: https://doi.org/10.1080/10556780410001684158

zbMATH Keywords

optimal controlNavier-Stokes systemadaptive checkpointing

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Discrete approximations in optimal control (49M25) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (5)

Adjoint based optimal control of partially miscible two-phase flow in porous media with applications to CO\(_2\) sequestration in underground reservoirs ⋮ Adjoint complement to the volume-of-fluid method for immiscible flows ⋮ Local-in-time adjoint-based method for design optimization of unsteady flows ⋮ Reducing Memory Requirements in Scientific Computing and Optimal Control ⋮ Periodicity in optimal hierarchical checkpointing schemes for adjoint computations

Uses Software

• revolve

Cites Work

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• On some control problems in fluid mechanics
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
• Algorithm 799: revolve
• Second Order Methods for Optimal Control of Time-Dependent Fluid Flow

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