Reduced-order multiobjective optimal control of semilinear parabolic problems

Laura Iapichino, Stefan Trenz, Stefan Volkwein

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

6 Citations (Scopus)

Abstract

In this paper a reduced-order strategy is applied to solve a multiobjective optimal control problem governed by semilinear parabolic partial differential equations. These problems often arise in practical applications, where the quality of the system behaviour has to be measured by more than one criterium. The weighted sum method is exploited for defining scalar-valued nonlinear optimal control problems built by introducing additional optimization parameters. The optimal controls corresponding to specific choices of the optimization parameters are efficiently computed by the reduced-basis method. The accuracy is guaranteed by an a-posteriori error estimate.

Original languageEnglish
Title of host publicationNumerical Mathematics and Advanced Applications ENUMATH 2015
EditorsBülent Karasözen, Murat Manguoglu, Münevver Tezer-Sezgin, Serdar Göktepe, Ömür Ugur
Place of PublicationCham, Switzerland
PublisherSpringer
Pages389-397
ISBN (Electronic)978-3-319-39929-4
ISBN (Print)978-3-319-39927-0
DOIs
Publication statusPublished - 2016
EventENUMATH 2015: European Conference on Numerical Mathematics and Advanced Applications - Ankara, Turkey
Duration: 14 Sep 201518 Sep 2015

Publication series

NameLecture Notes in Computational Science and Engineering
Volume112
ISSN (Print)1439-7358

Conference

ConferenceENUMATH 2015: European Conference on Numerical Mathematics and Advanced Applications
CountryTurkey
CityAnkara
Period14/09/1518/09/15

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