Error estimates for a multidimensional meshfree Galerkin method with diffuse derivatives and stabilization

A meshfree method with diffuse derivatives and a penalty stabilization is developed. An error analysis for the approximation of the solution of a general elliptic differential equation, in several dimensions, with Neumann boundary conditions is provided. Theoretical and numerical results show that the...

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Autores:
Osorio, Mauricio
French, Donald
Tipo de recurso:
Fecha de publicación:
2013
Institución:
Universidad EAFIT
Repositorio:
Repositorio EAFIT
Idioma:
eng
OAI Identifier:
oai:repository.eafit.edu.co:10784/14410
Acceso en línea:
http://hdl.handle.net/10784/14410
Palabra clave:
Meshfree Methods
Diffuse Derivatives
Moving Least Squares
Diffuse Element Method And Error Estimates
Métodos Sin Malla
Di ff Usa Derivadas
Mueve Mínimos Cuadrados
Di ff Usa Método De Elemento Y Estimaciones De Error
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License
Copyright (c) 2013 Mauricio Osorio, Donald French
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spelling Medellín de: Lat: 06 15 00 N degrees minutes Lat: 6.2500 decimal degrees Long: 075 36 00 W degrees minutes Long: -75.6000 decimal degrees2013-03-222019-11-22T17:02:39Z2013-03-222019-11-22T17:02:39Z2256-43141794-9165http://hdl.handle.net/10784/1441010.17230/ingciecia.9.17.3A meshfree method with diffuse derivatives and a penalty stabilization is developed. An error analysis for the approximation of the solution of a general elliptic differential equation, in several dimensions, with Neumann boundary conditions is provided. Theoretical and numerical results show that the approximation error and the convergence rate are better than the diffuse element method.Se desarrolla un método sin malla con derivados de uso difuso y una estabilización de penalización. Se proporciona un análisis de error para la aproximación de la solución de una ecuación diferencial elíptica general, en varias dimensiones, con condiciones de contorno de Neumann. Los resultados teóricos y numéricos muestran que el error de aproximación y la tasa de convergencia son mejores que el método del elemento de uso.application/pdfengUniversidad EAFIThttp://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/1825http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/1825Copyright (c) 2013 Mauricio Osorio, Donald FrenchAcceso abiertohttp://purl.org/coar/access_right/c_abf2instname:Universidad EAFITreponame:Repositorio Institucional Universidad EAFITIngeniería y Ciencia; Vol 9, No 17 (2013)Error estimates for a multidimensional meshfree Galerkin method with diffuse derivatives and stabilizationEstimativos de error para un método de Galerkin libre de mallas en múltiples dimensiones con derivadas difusas y estabilizaciónarticleinfo:eu-repo/semantics/articlepublishedVersioninfo:eu-repo/semantics/publishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Meshfree MethodsDiffuse DerivativesMoving Least SquaresDiffuse Element Method And Error EstimatesMétodos Sin MallaDi ff Usa DerivadasMueve Mínimos CuadradosDi ff Usa Método De Elemento Y Estimaciones De ErrorOsorio, MauricioFrench, DonaldUniversidad Nacional de ColombiaUniversity of CincinnatiIngeniería y Ciencia9175376ing.cienc.ORIGINAL3.pdf3.pdfTexto completo PDFapplication/pdf189135https://repository.eafit.edu.co/bitstreams/2f11a165-0872-4b16-b6fc-ce4946775e16/download473b505797fd97d31c6288546c9af9e4MD51articulo.htmlarticulo.htmlTexto completo HTMLtext/html374https://repository.eafit.edu.co/bitstreams/cd3f1fe5-9b5d-47da-9a86-cafac5853d31/downloadefc38debddf5b95e5bc05d23b3b35cb1MD53THUMBNAILminaitura-ig_Mesa de trabajo 1.jpgminaitura-ig_Mesa de trabajo 1.jpgimage/jpeg265796https://repository.eafit.edu.co/bitstreams/ff683c09-b044-470b-9d9b-372ff73f5d36/downloadda9b21a5c7e00c7f1127cef8e97035e0MD5210784/14410oai:repository.eafit.edu.co:10784/144102020-03-02 21:08:01.854open.accesshttps://repository.eafit.edu.coRepositorio Institucional Universidad EAFITrepositorio@eafit.edu.co
dc.title.eng.fl_str_mv Error estimates for a multidimensional meshfree Galerkin method with diffuse derivatives and stabilization
dc.title.spa.fl_str_mv Estimativos de error para un método de Galerkin libre de mallas en múltiples dimensiones con derivadas difusas y estabilización
title Error estimates for a multidimensional meshfree Galerkin method with diffuse derivatives and stabilization
spellingShingle Error estimates for a multidimensional meshfree Galerkin method with diffuse derivatives and stabilization
Meshfree Methods
Diffuse Derivatives
Moving Least Squares
Diffuse Element Method And Error Estimates
Métodos Sin Malla
Di ff Usa Derivadas
Mueve Mínimos Cuadrados
Di ff Usa Método De Elemento Y Estimaciones De Error
title_short Error estimates for a multidimensional meshfree Galerkin method with diffuse derivatives and stabilization
title_full Error estimates for a multidimensional meshfree Galerkin method with diffuse derivatives and stabilization
title_fullStr Error estimates for a multidimensional meshfree Galerkin method with diffuse derivatives and stabilization
title_full_unstemmed Error estimates for a multidimensional meshfree Galerkin method with diffuse derivatives and stabilization
title_sort Error estimates for a multidimensional meshfree Galerkin method with diffuse derivatives and stabilization
dc.creator.fl_str_mv Osorio, Mauricio
French, Donald
dc.contributor.author.spa.fl_str_mv Osorio, Mauricio
French, Donald
dc.contributor.affiliation.spa.fl_str_mv Universidad Nacional de Colombia
University of Cincinnati
dc.subject.keyword.eng.fl_str_mv Meshfree Methods
Diffuse Derivatives
Moving Least Squares
Diffuse Element Method And Error Estimates
topic Meshfree Methods
Diffuse Derivatives
Moving Least Squares
Diffuse Element Method And Error Estimates
Métodos Sin Malla
Di ff Usa Derivadas
Mueve Mínimos Cuadrados
Di ff Usa Método De Elemento Y Estimaciones De Error
dc.subject.keyword.spa.fl_str_mv Métodos Sin Malla
Di ff Usa Derivadas
Mueve Mínimos Cuadrados
Di ff Usa Método De Elemento Y Estimaciones De Error
description A meshfree method with diffuse derivatives and a penalty stabilization is developed. An error analysis for the approximation of the solution of a general elliptic differential equation, in several dimensions, with Neumann boundary conditions is provided. Theoretical and numerical results show that the approximation error and the convergence rate are better than the diffuse element method.
publishDate 2013
dc.date.issued.none.fl_str_mv 2013-03-22
dc.date.available.none.fl_str_mv 2019-11-22T17:02:39Z
dc.date.accessioned.none.fl_str_mv 2019-11-22T17:02:39Z
dc.date.none.fl_str_mv 2013-03-22
dc.type.eng.fl_str_mv article
info:eu-repo/semantics/article
publishedVersion
info:eu-repo/semantics/publishedVersion
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http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.local.spa.fl_str_mv Artículo
status_str publishedVersion
dc.identifier.issn.none.fl_str_mv 2256-4314
1794-9165
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/10784/14410
dc.identifier.doi.none.fl_str_mv 10.17230/ingciecia.9.17.3
identifier_str_mv 2256-4314
1794-9165
10.17230/ingciecia.9.17.3
url http://hdl.handle.net/10784/14410
dc.language.iso.eng.fl_str_mv eng
language eng
dc.relation.isversionof.none.fl_str_mv http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/1825
dc.relation.uri.none.fl_str_mv http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/1825
dc.rights.eng.fl_str_mv Copyright (c) 2013 Mauricio Osorio, Donald French
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.local.spa.fl_str_mv Acceso abierto
rights_invalid_str_mv Copyright (c) 2013 Mauricio Osorio, Donald French
Acceso abierto
http://purl.org/coar/access_right/c_abf2
dc.format.none.fl_str_mv application/pdf
dc.coverage.spatial.eng.fl_str_mv Medellín de: Lat: 06 15 00 N degrees minutes Lat: 6.2500 decimal degrees Long: 075 36 00 W degrees minutes Long: -75.6000 decimal degrees
dc.publisher.spa.fl_str_mv Universidad EAFIT
dc.source.none.fl_str_mv instname:Universidad EAFIT
reponame:Repositorio Institucional Universidad EAFIT
dc.source.spa.fl_str_mv Ingeniería y Ciencia; Vol 9, No 17 (2013)
instname_str Universidad EAFIT
institution Universidad EAFIT
reponame_str Repositorio Institucional Universidad EAFIT
collection Repositorio Institucional Universidad EAFIT
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