An object-oriented class organization for global-local generalized finite element method

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dc.creatorMohammad Malekan
dc.creatorFelício Bruzzi Barros
dc.creatorRoque L. S. Pitangueira
dc.creatorPhillipe Daniel Alves
dc.date.accessioned2023-07-24T19:46:33Z
dc.date.accessioned2025-09-08T23:01:26Z
dc.date.available2023-07-24T19:46:33Z
dc.date.issued2016
dc.description.sponsorshipCNPq - Conselho Nacional de Desenvolvimento Científico e Tecnológico
dc.description.sponsorshipFAPEMIG - Fundação de Amparo à Pesquisa do Estado de Minas Gerais
dc.description.sponsorshipCAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
dc.format.mimetypepdf
dc.identifier.doihttps://doi.org/10.1590/1679-78252832
dc.identifier.issn1679-7825
dc.identifier.urihttps://hdl.handle.net/1843/56907
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofLatin American Journal of Solids and Structures
dc.rightsAcesso Aberto
dc.subjectEngenharia Civil
dc.subjectEngenharia de estruturas
dc.subjectControle estrutural (Engenharia)
dc.subject.otherGeneralized finite element method
dc.subject.othereXtended finite element method
dc.subject.otherObject-oriented programming
dc.subject.otherGlobal-local
dc.subject.otherEnrichment function
dc.titleAn object-oriented class organization for global-local generalized finite element method
dc.typeArtigo de periódico
local.citation.epage2551
local.citation.issue13
local.citation.spage2529
local.citation.volume13
local.description.resumoThis paper shows and discusses a generic implementation of the global-local analysis toward generalized finite element method (GFEMgl). This implementation, performed into an academic computational platform, follows the object-oriented approach presented by the authors in a previous work for the standard version of GFEM in which the shape functions of finite elements are hierarchically enriched by analytical functions, according to the problem behavior. In global-local GFEM, however, the enrichment functions are constructed numerically from the solution of a local problem. This strategy allows the use of a coarse mesh even when the problem produces complex stress distributions. On the other hand, a local problem is defined where the stress field presents high gradients and it is discretized using a large number of elements. The results of the local problem are used to enrich the global problem which improves the approximate solution. The great advantage is allowing a well-refined description of the local problem, when necessary, avoiding an overburden for the computation of the global solution. Details of the implementation are presented and important aspects of using this strategy are highlighted in the numerical examples.
local.identifier.orcidhttps://orcid.org/0000-0001-6764-6816
local.publisher.countryBrasil
local.publisher.departmentENG - DEPARTAMENTO DE ENGENHARIA ESTRUTURAS
local.publisher.departmentENGENHARIA - ESCOLA DE ENGENHARIA
local.publisher.initialsUFMG
local.url.externahttps://www.scielo.br/j/lajss/a/4p8xYqw93CDpZJwtfZ3yscr/?lang=en#

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