Preconditioning for boundary control problems in incompressible fluid dynamics

Author: 

Heidel, G
Wathen, A

Publication Date: 

January 2019

Journal: 

NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

Last Updated: 

2019-09-11T18:00:20.013+01:00

Issue: 

1

Volume: 

26

DOI: 

10.1002/nla.2218

abstract: 

© 2018 John Wiley & Sons, Ltd. PDE-constrained optimization problems arise in many physical applications, prominently in incompressible fluid dynamics. In recent research, efficient solvers for optimization problems governed by the Stokes and Navier–Stokes equations have been developed, which are mostly designed for distributed control. Our work closes a gap by showing the effectiveness of an appropriately modified preconditioner to the case of Stokes boundary control. We also discuss the applicability of an analogous preconditioner for Navier–Stokes boundary control and provide some numerical results.

Symplectic id: 

921398

Download URL: 

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article