Fast iterative solver for the optimal control of time‐dependent PDEs with Crank–Nicolson discretization in time

DOI10.1002/nla.2419OpenAlexW4200003336WikidataQ114235403 ScholiaQ114235403MaRDI QIDQ5071642

Santolo Leveque, John W. Pearson

Publication date: 22 April 2022

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.08410

zbMATH Keywords

preconditioningPDE-constrained optimizationtime-dependent problemssaddle-point systemsconvection-diffusion control

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (3)

Optimal order multigrid preconditioners for the distributed control of parabolic equations with coarsening in space and time ⋮ PinT Preconditioner for Forward-Backward Evolutionary Equations ⋮ Parameter-Robust Preconditioning for Oseen Iteration Applied to Stationary and Instationary Navier--Stokes Control

Uses Software

• Matlab
• HSL_MI20
• AGMG
• MINRES

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