Comparison between lagrange multiplier and penalty methods to enforce essential boundary conditions in meshfree methods

A simulation of a cantilever beam was carried out with the aim of compared the performance of two Meshfree methods, Element Free Galerkin Method and Radial Point Interpolation Method, using two different methods to impose the Essential Boundary Conditions. The results were validated with the analyti...

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Autores:
Ramirez-Salazar, Juan Fernando
Mesa-Munera, Elizabeth
Branch Bedoya, John Willian
Boulanger, Pierre
Tipo de recurso:
Article of journal
Fecha de publicación:
2011
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/33406
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/33406
http://bdigital.unal.edu.co/23486/
Palabra clave:
Essential Boundary Condition Enforcement
Penalty Method
Lagrange Multiplier Method
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Ramirez-Salazar, Juan Fernando9368ccc5-8f3a-4319-89e8-ddbd0af54b50300Mesa-Munera, Elizabeth3dcb2e36-6b0c-4e5d-9d26-5bc45d5c0483300Branch Bedoya, John Willian3c6549fa-e308-4c51-b84b-43f77c96efde300Boulanger, Pierree838ad60-4aef-4fda-8448-f51719533dcb3002019-06-27T22:56:48Z2019-06-27T22:56:48Z2011https://repositorio.unal.edu.co/handle/unal/33406http://bdigital.unal.edu.co/23486/A simulation of a cantilever beam was carried out with the aim of compared the performance of two Meshfree methods, Element Free Galerkin Method and Radial Point Interpolation Method, using two different methods to impose the Essential Boundary Conditions. The results were validated with the analytical solution of the problem, obtained by Timoshenko in [Tim70]. It was possible to conclude that both methods show a good performance for the solution of the simulated problem. However, some consideration must be taken into account when these are applied to other types of approximation that cannot easily satisfy essential boundary conditions.application/pdfspaUniversidad Nacional de Colombia -Sede Medellínhttp://revistas.unal.edu.co/index.php/avances/article/view/20409Universidad Nacional de Colombia Revistas electrónicas UN Avances en Sistemas e InformáticaAvances en Sistemas e InformáticaAvances en Sistemas e Informática; Vol. 8, núm. 3 (2011); 51-56 Avances en Sistemas e Informática; Vol. 8, núm. 3 (2011); 51-56 1909-0056 1657-7663Ramirez-Salazar, Juan Fernando and Mesa-Munera, Elizabeth and Branch Bedoya, John Willian and Boulanger, Pierre (2011) Comparison between lagrange multiplier and penalty methods to enforce essential boundary conditions in meshfree methods. Avances en Sistemas e Informática; Vol. 8, núm. 3 (2011); 51-56 Avances en Sistemas e Informática; Vol. 8, núm. 3 (2011); 51-56 1909-0056 1657-7663 .Comparison between lagrange multiplier and penalty methods to enforce essential boundary conditions in meshfree methodsArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTEssential Boundary Condition EnforcementPenalty MethodLagrange Multiplier MethodORIGINAL20409-106819-1-PB.pdfapplication/pdf791396https://repositorio.unal.edu.co/bitstream/unal/33406/1/20409-106819-1-PB.pdfafd23602c9ab18e10d64676f5c93bc97MD5120409-68856-1-SP.pdfapplication/pdf11922https://repositorio.unal.edu.co/bitstream/unal/33406/2/20409-68856-1-SP.pdffdf2f98dbdbb2b3896636922ef50a541MD52THUMBNAIL20409-106819-1-PB.pdf.jpg20409-106819-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg10012https://repositorio.unal.edu.co/bitstream/unal/33406/3/20409-106819-1-PB.pdf.jpg0b30e6b92fbfa0616408bba7e4acda0aMD5320409-68856-1-SP.pdf.jpg20409-68856-1-SP.pdf.jpgGenerated Thumbnailimage/jpeg6421https://repositorio.unal.edu.co/bitstream/unal/33406/4/20409-68856-1-SP.pdf.jpg50b9647a2719bfe6e66393732f3f4d49MD54unal/33406oai:repositorio.unal.edu.co:unal/334062023-12-21 23:05:53.883Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Comparison between lagrange multiplier and penalty methods to enforce essential boundary conditions in meshfree methods
title Comparison between lagrange multiplier and penalty methods to enforce essential boundary conditions in meshfree methods
spellingShingle Comparison between lagrange multiplier and penalty methods to enforce essential boundary conditions in meshfree methods
Essential Boundary Condition Enforcement
Penalty Method
Lagrange Multiplier Method
title_short Comparison between lagrange multiplier and penalty methods to enforce essential boundary conditions in meshfree methods
title_full Comparison between lagrange multiplier and penalty methods to enforce essential boundary conditions in meshfree methods
title_fullStr Comparison between lagrange multiplier and penalty methods to enforce essential boundary conditions in meshfree methods
title_full_unstemmed Comparison between lagrange multiplier and penalty methods to enforce essential boundary conditions in meshfree methods
title_sort Comparison between lagrange multiplier and penalty methods to enforce essential boundary conditions in meshfree methods
dc.creator.fl_str_mv Ramirez-Salazar, Juan Fernando
Mesa-Munera, Elizabeth
Branch Bedoya, John Willian
Boulanger, Pierre
dc.contributor.author.spa.fl_str_mv Ramirez-Salazar, Juan Fernando
Mesa-Munera, Elizabeth
Branch Bedoya, John Willian
Boulanger, Pierre
dc.subject.proposal.spa.fl_str_mv Essential Boundary Condition Enforcement
Penalty Method
Lagrange Multiplier Method
topic Essential Boundary Condition Enforcement
Penalty Method
Lagrange Multiplier Method
description A simulation of a cantilever beam was carried out with the aim of compared the performance of two Meshfree methods, Element Free Galerkin Method and Radial Point Interpolation Method, using two different methods to impose the Essential Boundary Conditions. The results were validated with the analytical solution of the problem, obtained by Timoshenko in [Tim70]. It was possible to conclude that both methods show a good performance for the solution of the simulated problem. However, some consideration must be taken into account when these are applied to other types of approximation that cannot easily satisfy essential boundary conditions.
publishDate 2011
dc.date.issued.spa.fl_str_mv 2011
dc.date.accessioned.spa.fl_str_mv 2019-06-27T22:56:48Z
dc.date.available.spa.fl_str_mv 2019-06-27T22:56:48Z
dc.type.spa.fl_str_mv Artículo de revista
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url https://repositorio.unal.edu.co/handle/unal/33406
http://bdigital.unal.edu.co/23486/
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dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/avances/article/view/20409
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Avances en Sistemas e Informática
Avances en Sistemas e Informática
dc.relation.ispartofseries.none.fl_str_mv Avances en Sistemas e Informática; Vol. 8, núm. 3 (2011); 51-56 Avances en Sistemas e Informática; Vol. 8, núm. 3 (2011); 51-56 1909-0056 1657-7663
dc.relation.references.spa.fl_str_mv Ramirez-Salazar, Juan Fernando and Mesa-Munera, Elizabeth and Branch Bedoya, John Willian and Boulanger, Pierre (2011) Comparison between lagrange multiplier and penalty methods to enforce essential boundary conditions in meshfree methods. Avances en Sistemas e Informática; Vol. 8, núm. 3 (2011); 51-56 Avances en Sistemas e Informática; Vol. 8, núm. 3 (2011); 51-56 1909-0056 1657-7663 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
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dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
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dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
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dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia -Sede Medellín
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