A note on multigrid preconditioning for fractional PDE-constrained optimization problems

A note on multigrid preconditioning for fractional PDE-constrained optimization problems

In this note we present a multigrid preconditioning method for solving quadratic optimization problems constrained by a fractional diffusion equation. Multigrid methods within the all-at-once approach to solve the first order optimality Karush–Kuhn–Tucker (KKT) systems are widely popular, but their...

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Bibliographic Details
Main Authors: Harbir Antil, Andrei Drăgănescu, Kiefer Green
Format: Article
Language:English
Published: Elsevier 2021-02-01
Series:Results in Applied Mathematics
Subjects:
Optimal control
Fractional diffusion
Multigrid
Preconditioner
Online Access:http://www.sciencedirect.com/science/article/pii/S2590037420300431

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http://www.sciencedirect.com/science/article/pii/S2590037420300431

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