Development and implementation of a well-conditioning approach toward generalized/extended finite element method into an object-oriented platform

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dc.creatorMohammad Malekan
dc.creatorFelício Bruzzi Barros
dc.creatorRamon Pereira da Silva
dc.date.accessioned2023-07-24T19:45:45Z
dc.date.accessioned2025-09-08T23:00:31Z
dc.date.available2023-07-24T19:45:45Z
dc.date.issued2017-01-30
dc.description.sponsorshipCNPq - Conselho Nacional de Desenvolvimento Científico e Tecnológico
dc.description.sponsorshipCAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
dc.format.mimetypepdf
dc.identifier.doihttps://doi.org/10.26512/ripe.v2i14.21370
dc.identifier.issn2447-6102
dc.identifier.urihttps://hdl.handle.net/1843/56906
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofRevista Interdisciplinar de Pesquisa em Engenharia
dc.rightsAcesso Aberto
dc.subjectEngenharia de estruturas
dc.subjectControle estrutural (Engenharia)
dc.subject.otherGeneralized/eXtended FEM
dc.subject.otherObject-oriented programming
dc.subject.otherTwo-scale Analysis
dc.subject.otherStable GFEM
dc.subject.otherMatrix sparsity
dc.titleDevelopment and implementation of a well-conditioning approach toward generalized/extended finite element method into an object-oriented platform
dc.typeArtigo de periódico
local.citation.epage205
local.citation.issue14
local.citation.spage186
local.citation.volume2
local.description.resumoThis paper shows and discusses a generic implementation of the well-conditioning approach toward generalized/extended finite element method. This implementation, performed into an academic computational platform, follows the object-oriented approach presented before 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. The stable version of GFEM is employed here to avoid the bad effects of blending elements on the approximate solution convergence rate. Beside this, a sparse matrix data structure is used to accelerate the solution procedure. This approach uses the advantage of sparse matrix to solve the matrix system of equations. The implementations are explained in detail and different aspects of this approach are discussed through 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://periodicos.unb.br/index.php/ripe/article/view/21370

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