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Continuous/discontinuous Galerkin approximations for a fourth-order nonlinear problem

2021-09-01Journal article Restricted access
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dc.contributor.authorLopes, Nuno
dc.contributor.authorOliveira, H. B. de
dc.date.accessioned2023-05-08T11:37:42Z
dc.date.available2023-05-08T11:37:42Z
dc.date.issued2021-09-01
dc.description.abstractWe introduce a Continuous/Discontinuous Galerkin Finite Element Method (CDFEM) with interior penalty terms to solve a nonlinear fourth-order problem that appears in the analysis of the confinement of fluid flows governed by the Stokes system. For the associated continuous and discrete problems, we prove the existence and uniqueness of weak solutions. Consistency, stability and convergence of the method are shown analytically. To show the applicability and robustness of the numerical model, several test cases are performed.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationLOPES, N. D.; OLIVEIRA, H. B. – Continuous/discontinuous Galerkin approximations for a fourth-order nonlinear problem. Computers & Mathematics with Applications. ISSN 0898-1221. Vol. 97 (2021), pp. 122-152.pt_PT
dc.identifier.doi10.1016/j.camwa.2021.05.034pt_PT
dc.identifier.eissn1873-7668
dc.identifier.issn0898-1221
dc.identifier.urihttp://hdl.handle.net/10400.21/15992
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherElsevierpt_PT
dc.relationIPL/2019/MathMould_ISEL - Instituto Politécnico de Lisboapt_PT
dc.relationCenter for Mathematics, Fundamental Applications and Operations Research
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0898122121002352pt_PT
dc.subject2d Stokes problempt_PT
dc.subjectFeedback forcespt_PT
dc.subjectCDFEMpt_PT
dc.subjectExistence and uniquenesspt_PT
dc.subjectConsistency and stabilitypt_PT
dc.subjectError analysispt_PT
dc.titleContinuous/discontinuous Galerkin approximations for a fourth-order nonlinear problempt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCenter for Mathematics, Fundamental Applications and Operations Research
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F04561%2F2019/PT
oaire.citation.endPage152pt_PT
oaire.citation.startPage122pt_PT
oaire.citation.titleComputers & Mathematics with Applicationspt_PT
oaire.citation.volume97pt_PT
oaire.fundingStream6817 - DCRRNI ID
person.familyNameLopes
person.givenNameNuno
person.identifier.ciencia-id3312-D2F4-EF2F
person.identifier.orcid0000-0001-9577-0347
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsclosedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublicationfe0fc030-fe20-4cc7-afbb-38e4aea50776
relation.isAuthorOfPublication.latestForDiscoveryfe0fc030-fe20-4cc7-afbb-38e4aea50776
relation.isProjectOfPublication02ecac61-5866-4ca3-95b6-682148a45af1
relation.isProjectOfPublication.latestForDiscovery02ecac61-5866-4ca3-95b6-682148a45af1

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