A Space-Time Multigrid Method for Optimal Flow Control

DOI10.1007/978-3-0348-0133-1_8zbMath1356.49046OpenAlexW178390345MaRDI QIDQ2961057

Michael Hinze, Michael Köster, Stefan Turek

Publication date: 17 February 2017

Full work available at URL: https://doi.org/10.1007/978-3-0348-0133-1_8

zbMATH Keywords

optimal controlfinite elementsdistributed controltime-dependent Navier-Stokesspace-time multigridNewton solver

Mathematics Subject Classification ID

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) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) 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) Discrete approximations in optimal control (49M25) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items (8)

A leapfrog multigrid algorithm for the optimal control of parabolic PDEs with Robin boundary conditions ⋮ POD-Galerkin model order reduction for parametrized nonlinear time-dependent optimal flow control: an application to shallow water equations ⋮ A priori error analysis of the upwind symmetric interior penalty Galerkin (SIPG) method for the optimal control problems governed by unsteady convection diffusion equations ⋮ POD-based reduced order methods for optimal control problems governed by parametric partial differential equation with varying boundary control ⋮ Preconditioners for Krylov subspace methods: An overview ⋮ A new multigrid method for unconstrained parabolic optimal control problems ⋮ A leapfrog semi-smooth Newton-multigrid method for semilinear parabolic optimal control problems ⋮ Parameter-Robust Preconditioning for Oseen Iteration Applied to Stationary and Instationary Navier--Stokes Control

Cites Work

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