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Multiobjective optimal control methods for the Navier-Stokes equations using reduced order modeling

Abstract:

In a wide range of applications it is desirable to optimally control a dynamical system with respect to concurrent, potentially competing goals. This gives rise to a multiobjective optimal control problem where, instead of computing a single optimal solution, the set of optimal compromises, the so-called Pareto set, has to be approximated. When the problem under con- sideration is described by a partial differential equation (PDE), as is the case for fluid flow, the computational cost rapidly...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/s10440-018-0209-7

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Engineering Science
Oxford college:
Harris Manchester College
Role:
Author
German Research Foundation (DFG) More from this funder
Intelligent Technical Systems Ost-WestfalenLippe (its OWL) More from this funder
Publisher:
Springer Publisher's website
Journal:
Acta Applicandae Mathematicae Journal website
Volume:
161
Issue:
1
Pages:
171–199
Publication date:
2018-08-31
Acceptance date:
2017-11-26
DOI:
EISSN:
1572-9036
ISSN:
0167-8019
Source identifiers:
809770
Keywords:
Pubs id:
pubs:809770
UUID:
uuid:38b24649-b391-4157-9386-3de8d295978d
Local pid:
pubs:809770
Deposit date:
2017-12-07

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