Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/349176
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dc.contributor.CRUESPUNIVERSIDADE ESTADUAL DE CAMPINASpt_BR
dc.contributor.authorunicampSuzuki, Jorge Luis-
dc.contributor.authorunicampBittencourt, Marco Lúcio-
dc.typeArtigopt_BR
dc.titleConstruction of minimum energy high-order helmholtz bases for structured elementspt_BR
dc.contributor.authorRodrigues, Caio F.-
dc.contributor.authorSuzuki, Jorge L.-
dc.contributor.authorBittencourt, Marco L.-
dc.subjectMétodo dos elementos finitospt_BR
dc.subject.otherlanguageFinite element methodpt_BR
dc.description.abstractWe present a construction procedure for high-order expansion bases for structured finite elements specific for the operator under consideration. The procedure aims to obtain bases in such way that the condition numbers for the element matrices are almost constant or have a moderate increase in terms of the polynomial order. The internal modes of the mass and stiffness matrices are made simultaneously diagonal and the minimum energy concept is used to make the boundary modes orthogonal to the internal modes. The performance of the proposed bases is compared to the standard basis using Jacobi polynomials. This is performed through numerical examples for Helmholtz problem and transient linear elasticity employing explicit and implicit time integration algorithms and the conjugate gradient method with diagonal, SSOR and Gauss–Seidel pre-conditioners. The sparsity patterns, conditioning and solution costs are investigated. A significant speedup and reduction in the number of iterations are obtained when compared to the standard basispt_BR
dc.relation.ispartofJournal of computational physicspt_BR
dc.publisher.cityMaryland Heights, MOpt_BR
dc.publisher.countryEstados Unidospt_BR
dc.publisherElsevierpt_BR
dc.date.issued2016-
dc.date.monthofcirculationFeb.pt_BR
dc.language.isoengpt_BR
dc.description.volume306pt_BR
dc.description.firstpage269pt_BR
dc.description.lastpage290pt_BR
dc.rightsFechadopt_BR
dc.sourceWOSpt_BR
dc.identifier.issn0021-9991pt_BR
dc.identifier.eissn1090-2716pt_BR
dc.identifier.doi10.1016/j.jcp.2015.11.033pt_BR
dc.identifier.urlhttps://www.sciencedirect.com/science/article/pii/S0021999115007731pt_BR
dc.description.sponsorshipCONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO - CNPQpt_BR
dc.description.sponsordocumentnumber141702/2011-7pt_BR
dc.date.available2020-09-14T14:13:02Z-
dc.date.accessioned2020-09-14T14:13:02Z-
dc.description.provenanceSubmitted by Susilene Barbosa da Silva (susilene@unicamp.br) on 2020-09-14T14:13:02Z No. of bitstreams: 0. Added 1 bitstream(s) on 2021-01-07T20:39:37Z : No. of bitstreams: 1 000366157000015.pdf: 2320696 bytes, checksum: 743e82d4d928d2bec046aef9dcf444c2 (MD5) Bitstreams deleted on 2021-01-08T14:10:14Z: 000366157000015.pdf,. Added 1 bitstream(s) on 2021-01-08T14:13:19Z : No. of bitstreams: 1 000366157000015.pdf: 2320696 bytes, checksum: 743e82d4d928d2bec046aef9dcf444c2 (MD5) Bitstreams deleted on 2021-01-13T13:27:10Z: 000366157000015.pdf,. Added 1 bitstream(s) on 2021-01-13T13:29:04Z : No. of bitstreams: 1 000366157000015.pdf: 2320696 bytes, checksum: 743e82d4d928d2bec046aef9dcf444c2 (MD5)en
dc.description.provenanceMade available in DSpace on 2020-09-14T14:13:02Z (GMT). No. of bitstreams: 0 Previous issue date: 2016en
dc.identifier.urihttp://repositorio.unicamp.br/jspui/handle/REPOSIP/349176-
dc.contributor.departmentSem informaçãopt_BR
dc.contributor.departmentDepartamento de Projeto Mecânicopt_BR
dc.contributor.unidadeFaculdade de Engenharia Mecânicapt_BR
dc.contributor.unidadeFaculdade de Engenharia Mecânicapt_BR
dc.subject.keywordHigh order methodspt_BR
dc.subject.keywordSimultaneous diagonalizationpt_BR
dc.subject.keywordMinimum energy orthogonalizationpt_BR
dc.identifier.source000366157000015pt_BR
dc.creator.orcidSem informaçãopt_BR
dc.creator.orcid0000-0002-5490-297Xpt_BR
dc.type.formArtigopt_BR
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