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dc.contributor.authorHaslinger, Jaroslav
dc.contributor.authorBlaheta, Radim
dc.contributor.authorMäkinen, Raino A. E.
dc.date.accessioned2021-08-18T06:11:03Z
dc.date.available2021-08-18T06:11:03Z
dc.date.issued2021
dc.identifier.citationHaslinger, J., Blaheta, R., & Mäkinen, R. A. E. (2021). Parameter identification for heterogeneous materials by optimal control approach with flux cost functionals. <i>Mathematics and Computers in Simulation</i>, <i>189</i>, 55-68. <a href="https://doi.org/10.1016/j.matcom.2020.06.009" target="_blank">https://doi.org/10.1016/j.matcom.2020.06.009</a>
dc.identifier.otherCONVID_35990585
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/77398
dc.description.abstractThe paper deals with the identification of material parameters characterizing components in heterogeneous geocomposites provided that the interfaces separating different materials are known. We use the optimal control approach with flux type cost functionals. Since solutions to the respective state problems are not regular, in general, the original cost functionals are expressed in terms of integrals over the computational domain using the Green formula. We prove the existence of solutions to the optimal control problem and establish convergence results for appropriately defined discretizations. The rest of the paper is devoted to computational aspects, in particular how to handle high sensitivity of the problem on the accuracy of data gained by measurements.en
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherElsevier
dc.relation.ispartofseriesMathematics and Computers in Simulation
dc.rightsCC BY-NC-ND 4.0
dc.subject.otheridentification of conductivity coefficients
dc.subject.otheroptimal control of PDEs
dc.subject.othersensitivity analysis
dc.titleParameter identification for heterogeneous materials by optimal control approach with flux cost functionals
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202108184561
dc.contributor.laitosInformaatioteknologian tiedekuntafi
dc.contributor.laitosFaculty of Information Technologyen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.description.reviewstatuspeerReviewed
dc.format.pagerange55-68
dc.relation.issn0378-4754
dc.relation.volume189
dc.type.versionacceptedVersion
dc.rights.copyright© 2021 Elsevier
dc.rights.accesslevelembargoedAccessfi
dc.subject.ysokomposiitit
dc.subject.ysomatemaattinen optimointi
dc.subject.ysosäätöteoria
dc.subject.ysoosittaisdifferentiaaliyhtälöt
dc.subject.ysonumeerinen analyysi
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p19234
jyx.subject.urihttp://www.yso.fi/onto/yso/p17635
jyx.subject.urihttp://www.yso.fi/onto/yso/p868
jyx.subject.urihttp://www.yso.fi/onto/yso/p12392
jyx.subject.urihttp://www.yso.fi/onto/yso/p15833
dc.rights.urlhttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.relation.doi10.1016/j.matcom.2020.06.009
jyx.fundinginformationJ. Haslinger and R. Blaheta acknowledge the support of the grant 19-11441S of the Grant Agency of the Czech Republic. The work of R. Blaheta was supported by the EURAD project, European Joint Programme (EJP) Cofund Action 847593.


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