Multiobjective optimal control of fluid mixing

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Multiobjective optimal control of fluid mixing. / Ober-Blöbaum, Sina; Padberg-Gehle, Kathrin.

In: Proceedings in applied mathematics and mechanics, Vol. 15, No. 1, 21.10.2015, p. 639-640.

Research output: Journal contributionsJournal articlesResearchpeer-review

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Ober-Blöbaum S, Padberg-Gehle K. Multiobjective optimal control of fluid mixing. Proceedings in applied mathematics and mechanics. 2015 Oct 21;15(1):639-640. doi: 10.1002/pamm.201510309

Bibtex

@article{41184dfe192a4d98919c0f47939bbb9e,
title = "Multiobjective optimal control of fluid mixing",
abstract = "In this contribution an efficient numerical method to solve multiobjective optimal control problems of fluid flow mixing governed by the advection equation is presented. To obtain well-mixed behavior for non-diffusive processes, the multi-scale mixing of measure introduced in [1] is used in the formulation of the multiobjective optimal control problem. For the approximation of the Pareto set we combine reference point methods with an adjoint based optimization approach. ({\textcopyright} 2015 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)",
keywords = "Mathematics",
author = "Sina Ober-Bl{\"o}baum and Kathrin Padberg-Gehle",
year = "2015",
month = oct,
day = "21",
doi = "10.1002/pamm.201510309",
language = "English",
volume = "15",
pages = "639--640",
journal = "Proceedings in applied mathematics and mechanics",
issn = "1617-7061",
publisher = "Wiley-VCH Verlag",
number = "1",

}

RIS

TY - JOUR

T1 - Multiobjective optimal control of fluid mixing

AU - Ober-Blöbaum, Sina

AU - Padberg-Gehle, Kathrin

PY - 2015/10/21

Y1 - 2015/10/21

N2 - In this contribution an efficient numerical method to solve multiobjective optimal control problems of fluid flow mixing governed by the advection equation is presented. To obtain well-mixed behavior for non-diffusive processes, the multi-scale mixing of measure introduced in [1] is used in the formulation of the multiobjective optimal control problem. For the approximation of the Pareto set we combine reference point methods with an adjoint based optimization approach. (© 2015 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)

AB - In this contribution an efficient numerical method to solve multiobjective optimal control problems of fluid flow mixing governed by the advection equation is presented. To obtain well-mixed behavior for non-diffusive processes, the multi-scale mixing of measure introduced in [1] is used in the formulation of the multiobjective optimal control problem. For the approximation of the Pareto set we combine reference point methods with an adjoint based optimization approach. (© 2015 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)

KW - Mathematics

U2 - 10.1002/pamm.201510309

DO - 10.1002/pamm.201510309

M3 - Journal articles

VL - 15

SP - 639

EP - 640

JO - Proceedings in applied mathematics and mechanics

JF - Proceedings in applied mathematics and mechanics

SN - 1617-7061

IS - 1

ER -

DOI