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dc.contributor.CRUESPUNIVERSIDADE ESTADUAL DE CAMPINASpt_BR
dc.contributor.authorunicampDevloo, Philippe Remy Bernard-
dc.contributor.authorunicampFarias, Agnaldo Monteiro-
dc.contributor.authorunicampGomes, Sonia Maria-
dc.typeArtigopt_BR
dc.titleH(div) finite elements based on nonaffine meshes for 3D mixed formulations of flow problems with arbitrary high order accuracy of the divergence of the fluxpt_BR
dc.contributor.authorRemy Bernard Devloo, Philippe-
dc.contributor.authorDuran, Omar-
dc.contributor.authorMonteiro Farias, Agnaldo-
dc.contributor.authorMaria Gomes, Sonia-
dc.subjectMétodo dos elementos finitospt_BR
dc.subject.otherlanguageFinite element methodpt_BR
dc.description.abstractEffects of nonaffine elements on the accuracy of 3D H(div)-conforming finite elements are studied. Instead of convergence order k+1 for the flux and the divergence of the flux obtained with Raviart-Thomas or Nedelec spaces with normal traces of degree k, based on affine hexahedra or triangular prisms, reduced orders k for the flux and k-1 for the divergence of the flux may occur for distorted elements. To improve this scenario, a hierarchy of enriched flux approximations is considered, by adding internal shape functions up to a higher degree k+n, n>0, while keeping the original normal traces of degree k. The resulting enriched approximations, using multilinear transformations, keep the original flux accuracy (of order k+1 with affine elements or reduced order k otherwise), but enhanced divergence (of order k+n+1, in the affine case, or k+n-1 otherwise) can be reached. The reduced flux accuracy due to quadrilateral face distortions cannot be corrected by including higher order internal functions. The enriched spaces are applied to the mixed finite element formulation of Darcy's model. The computational cost of matrix assembly increases with n, but the condensed system to be solved has the same dimension and structure as the original schemept_BR
dc.relation.ispartofInternational journal for numerical methods in engineeringpt_BR
dc.relation.ispartofabbreviationInt. j. numer. methods eng.pt_BR
dc.publisher.cityChichesterpt_BR
dc.publisher.countryReino Unidopt_BR
dc.publisherJohn Wiley & Sonspt_BR
dc.date.issued2020-
dc.date.monthofcirculationJulypt_BR
dc.language.isoengpt_BR
dc.description.volume121pt_BR
dc.description.issuenumber13pt_BR
dc.description.firstpage2896pt_BR
dc.description.lastpage2915pt_BR
dc.rightsFechadopt_BR
dc.sourceWOSpt_BR
dc.identifier.issn0029-5981pt_BR
dc.identifier.eissn1097-0207pt_BR
dc.identifier.doi10.1002/nme.6337pt_BR
dc.identifier.urlhttps://onlinelibrary.wiley.com/doi/10.1002/nme.6337pt_BR
dc.description.sponsorshipCONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO - CNPQpt_BR
dc.description.sponsorshipFUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULO - FAPESPpt_BR
dc.description.sponsordocumentnumber305425/2013-7; 304029/2013-0pt_BR
dc.description.sponsordocumentnumber2016/05144-0; 2016/05155; 2016/13637-5pt_BR
dc.date.available2020-09-18T15:50:16Z-
dc.date.accessioned2020-09-18T15:50:16Z-
dc.description.provenanceSubmitted by Cintia Oliveira de Moura (cintiaom@unicamp.br) on 2020-09-18T15:50:16Z No. of bitstreams: 0. Added 1 bitstream(s) on 2021-01-11T14:38:18Z : No. of bitstreams: 1 000517779900001.pdf: 1553199 bytes, checksum: 3709edf6f74ce02290152c395d05689a (MD5)en
dc.description.provenanceMade available in DSpace on 2020-09-18T15:50:16Z (GMT). No. of bitstreams: 0 Previous issue date: 2020en
dc.identifier.urihttp://repositorio.unicamp.br/jspui/handle/REPOSIP/349599-
dc.contributor.departmentDepartamento de Construção Civilpt_BR
dc.contributor.departmentsem informaçãopt_BR
dc.contributor.departmentDepartamento de Matemática Aplicadapt_BR
dc.contributor.unidadeFaculdade de Engenharia Civil, Arquitetura e Urbanismopt_BR
dc.contributor.unidadeInstituto de Matemática, Estatística e Computação Científicapt_BR
dc.contributor.unidadeInstituto de Matemática, Estatística e Computação Científicapt_BR
dc.subject.keywordmixed finite element formulationpt_BR
dc.subject.keywordnonaffine meshespt_BR
dc.identifier.source000517779900001pt_BR
dc.creator.orcid0000-0002-8225-1107pt_BR
dc.creator.orcid0000-0003-3621-6789pt_BR
dc.creator.orcidsem informaçãopt_BR
dc.type.formArtigo de pesquisapt_BR
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