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Finite element schemes for a class of nonlocal parabolic systems with moving boundaries

2018-05Journal article Restricted access
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dc.contributor.authorAlmeida, Rui M.P.
dc.contributor.authorDuque, José C. M.
dc.contributor.authorFerreira, Jorge
dc.contributor.authorRobalo, Rui
dc.date.accessioned2020-02-06T17:15:27Z
dc.date.available2020-02-06T17:15:27Z
dc.date.issued2018-05
dc.description.abstractThe aim of this paper is to study the convergence, properties and error bounds of the discrete solutions of a class of nonlinear systems of reaction–diffusion nonlocal type with moving boundaries, using the finite element method with polynomial approximations of any degree and some classical time integrators. A coordinate transformation which fixes the boundaries is used. Some numerical tests to compare our Matlab code with a moving finite element method are investigated.pt_PT
dc.description.sponsorshipCAPES – Brazil, Grant BEX 2478-12-9pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1016/j.apnum.2018.01.007pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.6/9087
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherElsevier B.V.pt_PT
dc.relationStrategic Project - UI 212 - 2014
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0168927418300163pt_PT
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectNonlinear parabolic systempt_PT
dc.subjectNonlocal diffusion termpt_PT
dc.subjectReaction–diffusionpt_PT
dc.subjectConvergencept_PT
dc.subjectNumerical simulationpt_PT
dc.subjectEulerpt_PT
dc.subjectCrank–Nicolsonpt_PT
dc.subjectFinite element methodpt_PT
dc.titleFinite element schemes for a class of nonlocal parabolic systems with moving boundariespt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleStrategic Project - UI 212 - 2014
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/PEst-OE%2FMAT%2FUI0212%2F2014/PT
oaire.citation.endPage248pt_PT
oaire.citation.startPage226pt_PT
oaire.citation.titleApplied Numerical Mathematicspt_PT
oaire.citation.volume127pt_PT
oaire.fundingStream6817 - DCRRNI ID
person.familyNameAlmeida
person.familyNameDuque
person.givenNameRui
person.givenNameJosé
person.identifier.ciencia-id0019-4741-59E6
person.identifier.ciencia-id3F13-1743-F458
person.identifier.orcid0000-0003-3976-1571
person.identifier.orcid0000-0002-2347-639X
person.identifier.ridH-3861-2015
person.identifier.scopus-author-id56013962900
person.identifier.scopus-author-id56014111400
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.embargofctCopyright cedido à editora no momento da publicaçãopt_PT
rcaap.rightsclosedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication3c6beb7a-3107-4567-a25e-5479b2d39a60
relation.isAuthorOfPublication051cf9dd-0f11-4d07-aace-11d65a38fa3c
relation.isAuthorOfPublication.latestForDiscovery3c6beb7a-3107-4567-a25e-5479b2d39a60
relation.isProjectOfPublication60e52c19-03b5-4096-9104-1ed24e018745
relation.isProjectOfPublication.latestForDiscovery60e52c19-03b5-4096-9104-1ed24e018745

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