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Convergence of the Crank-Nicolson-Galerkin finite element method for a class of nonlocal parabolic systems with moving boundaries

2014-01-31Preprint Open 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 J.
dc.date.accessioned2020-03-03T10:11:04Z
dc.date.available2020-03-03T10:11:04Z
dc.date.issued2014-01-31
dc.description.abstractThe aim of this paper is to establish the convergence and error bounds to the fully discrete solution for a class of nonlinear systems of reaction-diffusion nonlocal type with moving boundaries, using a linearized Crank-Nicolson-Galerkin finite element method with polynomial approximations of any degree. A coordinate transformation which fixes the boundaries is used. Some numerical tests to compare our Matlab code with some existing moving finite elements methods are investigated.pt_PT
dc.description.versionN/Apt_PT
dc.identifier.urihttp://hdl.handle.net/10400.6/9670
dc.language.isoengpt_PT
dc.peerreviewednopt_PT
dc.relationStrategic Project - UI 212 - 2011-2012
dc.subjectNonlinear parabolic systempt_PT
dc.subjectNonlocal diffusion termpt_PT
dc.subjectReactiondiffusionpt_PT
dc.subjectConvergencept_PT
dc.subjectNumerical simulationpt_PT
dc.subjectCrank-Nicolsonpt_PT
dc.subjectFinite element methodpt_PT
dc.titleConvergence of the Crank-Nicolson-Galerkin finite element method for a class of nonlocal parabolic systems with moving boundariespt_PT
dc.typepreprint
dspace.entity.typePublication
oaire.awardTitleStrategic Project - UI 212 - 2011-2012
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/PEst-OE%2FMAT%2FUI0212%2F2011/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.rightsopenAccesspt_PT
rcaap.typepreprintpt_PT
relation.isAuthorOfPublication3c6beb7a-3107-4567-a25e-5479b2d39a60
relation.isAuthorOfPublication051cf9dd-0f11-4d07-aace-11d65a38fa3c
relation.isAuthorOfPublication.latestForDiscovery051cf9dd-0f11-4d07-aace-11d65a38fa3c
relation.isProjectOfPublication0941c725-4ac9-4fb2-80a2-cffa922e27c7
relation.isProjectOfPublication.latestForDiscovery0941c725-4ac9-4fb2-80a2-cffa922e27c7

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