The Crank–Nicolson–Galerkin Finite Element Method for a Nonlocal Parabolic Equation with Moving Boundaries

Almeida, Rui M.P.; Duque, José C. M.; Ferreira, Jorge; Robalo, Rui J.

Publication

The Crank–Nicolson–Galerkin Finite Element Method for a Nonlocal Parabolic Equation with Moving Boundaries

2014-12-28Journal article

dc.contributor.author	Almeida, Rui M.P.
dc.contributor.author	Duque, José C. M.
dc.contributor.author	Ferreira, Jorge
dc.contributor.author	Robalo, Rui J.
dc.date.accessioned	2020-03-02T17:08:22Z
dc.date.available	2020-03-02T17:08:22Z
dc.date.issued	2014-12-28
dc.description.abstract	The aim of this article is to establish the convergence and error bounds for the fully discrete solutions of a class of nonlinear equations 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 element methods are investigated.	pt_PT
dc.description.version	info:eu-repo/semantics/publishedVersion	pt_PT
dc.identifier.doi	/10.1002/num.21957	pt_PT
dc.identifier.uri	http://hdl.handle.net/10400.6/9665
dc.language.iso	eng	pt_PT
dc.peerreviewed	yes	pt_PT
dc.publisher	Wiley Periodicals	pt_PT
dc.relation.ispartofseries	5;
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/	pt_PT
dc.subject	Nonlinear parabolic system	pt_PT
dc.subject	Nonlocal diffusion term	pt_PT
dc.subject	Reaction–diffusion	pt_PT
dc.subject	Convergence	pt_PT
dc.subject	Numerical simulation	pt_PT
dc.subject	Crank–Nicolson	pt_PT
dc.subject	Finite element method	pt_PT
dc.title	The Crank–Nicolson–Galerkin Finite Element Method for a Nonlocal Parabolic Equation with Moving Boundaries	pt_PT
dc.type	journal article
dspace.entity.type	Publication
oaire.awardURI	info:eu-repo/grantAgreement/FCT/5876/PEst-OE%2FMAT%2FUI0212%2F2014/PT
oaire.citation.endPage	1533	pt_PT
oaire.citation.startPage	1515	pt_PT
oaire.citation.title	Numerical Methods for Partial Differential Equations	pt_PT
oaire.citation.volume	31	pt_PT
oaire.fundingStream	5876
person.familyName	Almeida
person.familyName	Duque
person.givenName	Rui
person.givenName	José
person.identifier.ciencia-id	0019-4741-59E6
person.identifier.ciencia-id	3F13-1743-F458
person.identifier.orcid	0000-0003-3976-1571
person.identifier.orcid	0000-0002-2347-639X
person.identifier.rid	H-3861-2015
person.identifier.scopus-author-id	56013962900
person.identifier.scopus-author-id	56014111400
project.funder.identifier	http://doi.org/10.13039/501100001871
project.funder.name	Fundação para a Ciência e a Tecnologia
rcaap.embargofct	Copyright cedido à editora no momento da publicação	pt_PT
rcaap.rights	closedAccess	pt_PT
rcaap.type	article	pt_PT
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