Space-Time Newton-Multigrid Strategies for Nonstationary Distributed and Boundary Flow Control Problems

DOI10.1007/978-3-319-05083-6_24zbMath1327.49044OpenAlexW2265232287MaRDI QIDQ2942360

Michael Hinze, Stefan Turek, Michael Köster

Publication date: 11 September 2015

Published in: International Series of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-05083-6_24

zbMATH Keywords

optimal controlboundary controlfinite elementsdistributed controlNewtontime-dependent Navier-Stokesspace-time multigrid

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Large-scale problems in mathematical programming (90C06) Nonlinear programming (90C30) Optimality conditions for problems involving partial differential equations (49K20) Numerical methods involving duality (49M29) Numerical methods based on necessary conditions (49M05) Newton-type methods (49M15) Numerical methods for integral equations (65R20) Navier-Stokes equations for incompressible viscous fluids (76D05) Numerical methods based on nonlinear programming (49M37) Navier-Stokes equations (35Q30) Iterative numerical methods for linear systems (65F10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Numerical methods for inverse problems for integral equations (65R32) Flow control and optimization for incompressible viscous fluids (76D55) Preconditioners for iterative methods (65F08)

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A space-time variational method for optimal control problems: well-posedness, stability and numerical solution ⋮ Multigrid optimization for DNS-based optimal control in turbulent channel flows ⋮ Two-level space-time domain decomposition methods for flow control problems

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