Journal article
Preconditioning for boundary control problems in incompressible fluid dynamics
- Abstract:
- 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 917.5KB, Terms of use)
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- Publisher copy:
- 10.1002/nla.2218
Authors
+ Deutsche Forschungsgemeinschaft
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- Grant:
- Research Training Group 2126 ‘Algorithmic Optimization’
- Publisher:
- Wiley
- Journal:
- Numerical Linear Algebra with Applications More from this journal
- Volume:
- 26
- Issue:
- 1
- Article number:
- e2218
- Publication date:
- 2018-11-08
- Acceptance date:
- 2018-09-07
- DOI:
- EISSN:
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1099-1506
- ISSN:
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1070-5325
- Keywords:
- Pubs id:
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pubs:921398
- UUID:
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uuid:65dd83ae-e83a-4e3a-a855-17609af20e9a
- Local pid:
-
pubs:921398
- Source identifiers:
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921398
- Deposit date:
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2018-09-24
- ARK identifier:
Terms of use
- Copyright holder:
- John Wiley & Sons, Ltd
- Copyright date:
- 2018
- Notes:
- Copyright © 2018 John Wiley & Sons, Ltd. This is the accepted manuscript version of the article. The final version is available online from Wiley at: https://doi.org/10.1002/nla.2218
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