Development and Implementation of aWell-conditioning Approach Toward Generalized/Extended Finite Element Method into an Object-oriented Platform
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Revista Interdisciplinar de Pesquisa em Engenharia |
Texto Completo: | https://periodicos.unb.br/index.php/ripe/article/view/21370 |
Resumo: | This 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. |
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Revista Interdisciplinar de Pesquisa em Engenharia |
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Development and Implementation of aWell-conditioning Approach Toward Generalized/Extended Finite Element Method into an Object-oriented PlatformGeneralized/eXtended FEM. Object-oriented programming. Two-scale Analysis. Stable GFEM. Matrix sparsity.This 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.Programa de Pós-Graduação em Integridade de Materiais da Engenharia2017-01-30info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.unb.br/index.php/ripe/article/view/2137010.26512/ripe.v2i14.21370Revista Interdisciplinar de Pesquisa em Engenharia; Vol. 2 No. 14 (2016): DEVELOPMENTS AND APPLICATIONS OF SPECIAL ENRICHMENT METHODS AND INNOVATE DISCRETIZATION TECHNIQUES; 186-205Revista Interdisciplinar de Pesquisa em Engenharia; v. 2 n. 14 (2016): DEVELOPMENTS AND APPLICATIONS OF SPECIAL ENRICHMENT METHODS AND INNOVATE DISCRETIZATION TECHNIQUES; 186-2052447-6102reponame:Revista Interdisciplinar de Pesquisa em Engenhariainstname:Universidade de Brasília (UnB)instacron:UNBenghttps://periodicos.unb.br/index.php/ripe/article/view/21370/19713Copyright (c) 2019 Revista Interdisciplinar de Pesquisa em Engenharia - RIPEinfo:eu-repo/semantics/openAccessMalekan, MohammadBarros, Felício BruzziSilva, Ramon P.2019-06-16T02:38:02Zoai:ojs.pkp.sfu.ca:article/21370Revistahttps://periodicos.unb.br/index.php/ripePUBhttps://periodicos.unb.br/index.php/ripe/oaianflor@unb.br2447-61022447-6102opendoar:2019-06-16T02:38:02Revista Interdisciplinar de Pesquisa em Engenharia - Universidade de Brasília (UnB)false |
dc.title.none.fl_str_mv |
Development and Implementation of aWell-conditioning Approach Toward Generalized/Extended Finite Element Method into an Object-oriented Platform |
title |
Development and Implementation of aWell-conditioning Approach Toward Generalized/Extended Finite Element Method into an Object-oriented Platform |
spellingShingle |
Development and Implementation of aWell-conditioning Approach Toward Generalized/Extended Finite Element Method into an Object-oriented Platform Malekan, Mohammad Generalized/eXtended FEM. Object-oriented programming. Two-scale Analysis. Stable GFEM. Matrix sparsity. |
title_short |
Development and Implementation of aWell-conditioning Approach Toward Generalized/Extended Finite Element Method into an Object-oriented Platform |
title_full |
Development and Implementation of aWell-conditioning Approach Toward Generalized/Extended Finite Element Method into an Object-oriented Platform |
title_fullStr |
Development and Implementation of aWell-conditioning Approach Toward Generalized/Extended Finite Element Method into an Object-oriented Platform |
title_full_unstemmed |
Development and Implementation of aWell-conditioning Approach Toward Generalized/Extended Finite Element Method into an Object-oriented Platform |
title_sort |
Development and Implementation of aWell-conditioning Approach Toward Generalized/Extended Finite Element Method into an Object-oriented Platform |
author |
Malekan, Mohammad |
author_facet |
Malekan, Mohammad Barros, Felício Bruzzi Silva, Ramon P. |
author_role |
author |
author2 |
Barros, Felício Bruzzi Silva, Ramon P. |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Malekan, Mohammad Barros, Felício Bruzzi Silva, Ramon P. |
dc.subject.por.fl_str_mv |
Generalized/eXtended FEM. Object-oriented programming. Two-scale Analysis. Stable GFEM. Matrix sparsity. |
topic |
Generalized/eXtended FEM. Object-oriented programming. Two-scale Analysis. Stable GFEM. Matrix sparsity. |
description |
This 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. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-01-30 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://periodicos.unb.br/index.php/ripe/article/view/21370 10.26512/ripe.v2i14.21370 |
url |
https://periodicos.unb.br/index.php/ripe/article/view/21370 |
identifier_str_mv |
10.26512/ripe.v2i14.21370 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
https://periodicos.unb.br/index.php/ripe/article/view/21370/19713 |
dc.rights.driver.fl_str_mv |
Copyright (c) 2019 Revista Interdisciplinar de Pesquisa em Engenharia - RIPE info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Copyright (c) 2019 Revista Interdisciplinar de Pesquisa em Engenharia - RIPE |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Programa de Pós-Graduação em Integridade de Materiais da Engenharia |
publisher.none.fl_str_mv |
Programa de Pós-Graduação em Integridade de Materiais da Engenharia |
dc.source.none.fl_str_mv |
Revista Interdisciplinar de Pesquisa em Engenharia; Vol. 2 No. 14 (2016): DEVELOPMENTS AND APPLICATIONS OF SPECIAL ENRICHMENT METHODS AND INNOVATE DISCRETIZATION TECHNIQUES; 186-205 Revista Interdisciplinar de Pesquisa em Engenharia; v. 2 n. 14 (2016): DEVELOPMENTS AND APPLICATIONS OF SPECIAL ENRICHMENT METHODS AND INNOVATE DISCRETIZATION TECHNIQUES; 186-205 2447-6102 reponame:Revista Interdisciplinar de Pesquisa em Engenharia instname:Universidade de Brasília (UnB) instacron:UNB |
instname_str |
Universidade de Brasília (UnB) |
instacron_str |
UNB |
institution |
UNB |
reponame_str |
Revista Interdisciplinar de Pesquisa em Engenharia |
collection |
Revista Interdisciplinar de Pesquisa em Engenharia |
repository.name.fl_str_mv |
Revista Interdisciplinar de Pesquisa em Engenharia - Universidade de Brasília (UnB) |
repository.mail.fl_str_mv |
anflor@unb.br |
_version_ |
1798315226123206656 |