Imposition of Dirichlet Boundary Conditions in Element Free Galerkin Method through an Object-Oriented Implementation
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Latin American journal of solids and structures (Online) |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017000601017 |
Resumo: | Abstract One of the main drawbacks of Element Free Galerkin (EFG) method is its dependence on moving least square shape functions which don’t satisfy the Kronecker Delta property, so in this method it’s not possible to apply Dirichlet boundary conditions directly. The aim of the present paper is to discuss different aspects of three widely used methods of applying Dirichlet boundary conditions in EFG method, called Lagrange multipliers, penalty method, and coupling with finite element method. Numerical simulations are presented to compare the results of these methods form the perspective of accuracy, convergence and computational expense. These methods have been implemented in an object oriented programing environment, called INSANE, and the results are presented and compared with the analytical solutions. |
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Latin American journal of solids and structures (Online) |
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Imposition of Dirichlet Boundary Conditions in Element Free Galerkin Method through an Object-Oriented ImplementationElement Free Galerkin methodEFG-FE CouplingLagrange MultipliersPenalty MethodObject-Oriented ProgrammingAbstract One of the main drawbacks of Element Free Galerkin (EFG) method is its dependence on moving least square shape functions which don’t satisfy the Kronecker Delta property, so in this method it’s not possible to apply Dirichlet boundary conditions directly. The aim of the present paper is to discuss different aspects of three widely used methods of applying Dirichlet boundary conditions in EFG method, called Lagrange multipliers, penalty method, and coupling with finite element method. Numerical simulations are presented to compare the results of these methods form the perspective of accuracy, convergence and computational expense. These methods have been implemented in an object oriented programing environment, called INSANE, and the results are presented and compared with the analytical solutions.Associação Brasileira de Ciências Mecânicas2017-06-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017000601017Latin American Journal of Solids and Structures v.14 n.6 2017reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78253607info:eu-repo/semantics/openAccessHosseini,SamiraMalekan,MohammadPitangueira,Roque L. S.Silva,Ramon P.eng2017-07-31T00:00:00Zoai:scielo:S1679-78252017000601017Revistahttp://www.scielo.br/scielo.php?script=sci_serial&pid=1679-7825&lng=pt&nrm=isohttps://old.scielo.br/oai/scielo-oai.phpabcm@abcm.org.br||maralves@usp.br1679-78251679-7817opendoar:2017-07-31T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false |
dc.title.none.fl_str_mv |
Imposition of Dirichlet Boundary Conditions in Element Free Galerkin Method through an Object-Oriented Implementation |
title |
Imposition of Dirichlet Boundary Conditions in Element Free Galerkin Method through an Object-Oriented Implementation |
spellingShingle |
Imposition of Dirichlet Boundary Conditions in Element Free Galerkin Method through an Object-Oriented Implementation Hosseini,Samira Element Free Galerkin method EFG-FE Coupling Lagrange Multipliers Penalty Method Object-Oriented Programming |
title_short |
Imposition of Dirichlet Boundary Conditions in Element Free Galerkin Method through an Object-Oriented Implementation |
title_full |
Imposition of Dirichlet Boundary Conditions in Element Free Galerkin Method through an Object-Oriented Implementation |
title_fullStr |
Imposition of Dirichlet Boundary Conditions in Element Free Galerkin Method through an Object-Oriented Implementation |
title_full_unstemmed |
Imposition of Dirichlet Boundary Conditions in Element Free Galerkin Method through an Object-Oriented Implementation |
title_sort |
Imposition of Dirichlet Boundary Conditions in Element Free Galerkin Method through an Object-Oriented Implementation |
author |
Hosseini,Samira |
author_facet |
Hosseini,Samira Malekan,Mohammad Pitangueira,Roque L. S. Silva,Ramon P. |
author_role |
author |
author2 |
Malekan,Mohammad Pitangueira,Roque L. S. Silva,Ramon P. |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Hosseini,Samira Malekan,Mohammad Pitangueira,Roque L. S. Silva,Ramon P. |
dc.subject.por.fl_str_mv |
Element Free Galerkin method EFG-FE Coupling Lagrange Multipliers Penalty Method Object-Oriented Programming |
topic |
Element Free Galerkin method EFG-FE Coupling Lagrange Multipliers Penalty Method Object-Oriented Programming |
description |
Abstract One of the main drawbacks of Element Free Galerkin (EFG) method is its dependence on moving least square shape functions which don’t satisfy the Kronecker Delta property, so in this method it’s not possible to apply Dirichlet boundary conditions directly. The aim of the present paper is to discuss different aspects of three widely used methods of applying Dirichlet boundary conditions in EFG method, called Lagrange multipliers, penalty method, and coupling with finite element method. Numerical simulations are presented to compare the results of these methods form the perspective of accuracy, convergence and computational expense. These methods have been implemented in an object oriented programing environment, called INSANE, and the results are presented and compared with the analytical solutions. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-06-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017000601017 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017000601017 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/1679-78253607 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Associação Brasileira de Ciências Mecânicas |
publisher.none.fl_str_mv |
Associação Brasileira de Ciências Mecânicas |
dc.source.none.fl_str_mv |
Latin American Journal of Solids and Structures v.14 n.6 2017 reponame:Latin American journal of solids and structures (Online) instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM) instacron:ABCM |
instname_str |
Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM) |
instacron_str |
ABCM |
institution |
ABCM |
reponame_str |
Latin American journal of solids and structures (Online) |
collection |
Latin American journal of solids and structures (Online) |
repository.name.fl_str_mv |
Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM) |
repository.mail.fl_str_mv |
abcm@abcm.org.br||maralves@usp.br |
_version_ |
1754302889162964992 |