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dc.contributor.authorLassas, Matti
dc.contributor.authorSalo, Mikko
dc.contributor.authorTzou, Leo
dc.date.accessioned2015-08-18T04:31:33Z
dc.date.available2015-10-08T21:45:07Z
dc.date.issued2015
dc.identifier.citationLassas, M., Salo, M., & Tzou, L. (2015). Inverse problems and invisibility cloaking for FEM models and resistor networks. <i>Mathematical Models and Methods in Applied Sciences</i>, <i>25</i>(2), 309-342. <a href="https://doi.org/10.1142/S0218202515500116" target="_blank">https://doi.org/10.1142/S0218202515500116</a>
dc.identifier.otherCONVID_24784385
dc.identifier.otherTUTKAID_66557
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/46635
dc.description.abstractIn this paper we consider inverse problems for resistor networks and for models obtained via the Finite Element Method (FEM) for the conductivity equation. These correspond to discrete versions of the inverse conductivity problem of Calder´on. We characterize FEM models corresponding to a given triangulation of the domain that are equivalent to certain resistor networks, and apply the results to study nonuniqueness of the discrete inverse problem. It turns out that the degree of nonuniqueness for the discrete problem is larger than the one for the partial differential equation. We also study invisibility cloaking for FEM models, and show how an arbitrary body can be surrounded with a layer so that the cloaked body has the same boundary measurements as a given background medium.
dc.language.isoeng
dc.publisherWorld Scientific Publishing Co. Pte. Ltd.
dc.relation.ispartofseriesMathematical Models and Methods in Applied Sciences
dc.subject.otherresistor networks
dc.titleInverse problems and invisibility cloaking for FEM models and resistor networks
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201508172686
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineMatematiikkafi
dc.contributor.oppiaineMathematicsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.date.updated2015-08-17T15:15:09Z
dc.type.coarjournal article
dc.description.reviewstatuspeerReviewed
dc.format.pagerange309-342
dc.relation.issn1793-6314
dc.relation.numberinseries2
dc.relation.volume25
dc.type.versionacceptedVersion
dc.rights.copyright© 2015 World Scientific Publishing Company. This is a final draft version of an article whose final and definitive form has been published by World Scientific Publishing Company. Published in this repository with the kind permission of the publisher.
dc.rights.accesslevelopenAccessfi
dc.subject.ysoinversio-ongelmat
dc.subject.ysoelementtimenetelmä
jyx.subject.urihttp://www.yso.fi/onto/yso/p27912
jyx.subject.urihttp://www.yso.fi/onto/yso/p24565
dc.relation.doi10.1142/S0218202515500116


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