Composite mesh concept based FEM error estimation and solution improvement

Autores
Bergallo, Marta; Neuman, C.E.; Sonzogni, Victorio Enrique
Año de publicación
2000
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The use of composite finite element models where meshes with different granularities are allowed to share the same problem domain, is introduced. The idea of this method was taken from the mixture theory of multiphase materials, where the properties of each component enter into the formulation affected by a participation factor. The different behaviors of each component mesh due to differences in the model accuracy rather than to the material properties. We perform estimation of local and global errors for some problems in planar domains that are drawn from engineering problems (structural elastic deformations or heat and mass transfer in catalytic chemical reactors). The main examples in this work are elliptic problems with boundary conditions of Dirichlet, Neumann, and mixed types. The method is not restricted to 2D, being also applicable to 3D problems. In this paper, we also develop the use of composite models with the target of improving the numerical solution of finite element models. By using extrapolation-like concepts, improved solutions may be obtained without increasing the computational cost of the problem or requiring postprocessing of the results. Some examples are shown for which exact solution is available in order to validate the method.
Fil: Bergallo, Marta. Universidad Nacional del Litoral; Argentina
Fil: Neuman, C.E.. Universidad Nacional del Litoral; Argentina
Fil: Sonzogni, Victorio Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
Materia
Finite Element
Error Estimation
Composite Mesh
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/27810
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/27810
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network_name_str CONICET Digital (CONICET)
spelling Composite mesh concept based FEM error estimation and solution improvementBergallo, MartaNeuman, C.E.Sonzogni, Victorio EnriqueFinite ElementError EstimationComposite Meshhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The use of composite finite element models where meshes with different granularities are allowed to share the same problem domain, is introduced. The idea of this method was taken from the mixture theory of multiphase materials, where the properties of each component enter into the formulation affected by a participation factor. The different behaviors of each component mesh due to differences in the model accuracy rather than to the material properties. We perform estimation of local and global errors for some problems in planar domains that are drawn from engineering problems (structural elastic deformations or heat and mass transfer in catalytic chemical reactors). The main examples in this work are elliptic problems with boundary conditions of Dirichlet, Neumann, and mixed types. The method is not restricted to 2D, being also applicable to 3D problems. In this paper, we also develop the use of composite models with the target of improving the numerical solution of finite element models. By using extrapolation-like concepts, improved solutions may be obtained without increasing the computational cost of the problem or requiring postprocessing of the results. Some examples are shown for which exact solution is available in order to validate the method.Fil: Bergallo, Marta. Universidad Nacional del Litoral; ArgentinaFil: Neuman, C.E.. Universidad Nacional del Litoral; ArgentinaFil: Sonzogni, Victorio Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; ArgentinaElsevier Science Sa2000-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/27810Bergallo, Marta; Neuman, C.E.; Sonzogni, Victorio Enrique; Composite mesh concept based FEM error estimation and solution improvement; Elsevier Science Sa; Computer Methods in Applied Mechanics and Engineering; 188; 3-2000; 755-7740045-7825CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/S0045-7825(99)00360-6info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:03:23Zoai:ri.conicet.gov.ar:11336/27810instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 10:03:24.45CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Composite mesh concept based FEM error estimation and solution improvement
title Composite mesh concept based FEM error estimation and solution improvement
spellingShingle Composite mesh concept based FEM error estimation and solution improvement
Bergallo, Marta
Finite Element
Error Estimation
Composite Mesh
title_short Composite mesh concept based FEM error estimation and solution improvement
title_full Composite mesh concept based FEM error estimation and solution improvement
title_fullStr Composite mesh concept based FEM error estimation and solution improvement
title_full_unstemmed Composite mesh concept based FEM error estimation and solution improvement
title_sort Composite mesh concept based FEM error estimation and solution improvement
dc.creator.none.fl_str_mv Bergallo, Marta
Neuman, C.E.
Sonzogni, Victorio Enrique
author Bergallo, Marta
author_facet Bergallo, Marta
Neuman, C.E.
Sonzogni, Victorio Enrique
author_role author
author2 Neuman, C.E.
Sonzogni, Victorio Enrique
author2_role author
author
dc.subject.none.fl_str_mv Finite Element
Error Estimation
Composite Mesh
topic Finite Element
Error Estimation
Composite Mesh
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The use of composite finite element models where meshes with different granularities are allowed to share the same problem domain, is introduced. The idea of this method was taken from the mixture theory of multiphase materials, where the properties of each component enter into the formulation affected by a participation factor. The different behaviors of each component mesh due to differences in the model accuracy rather than to the material properties. We perform estimation of local and global errors for some problems in planar domains that are drawn from engineering problems (structural elastic deformations or heat and mass transfer in catalytic chemical reactors). The main examples in this work are elliptic problems with boundary conditions of Dirichlet, Neumann, and mixed types. The method is not restricted to 2D, being also applicable to 3D problems. In this paper, we also develop the use of composite models with the target of improving the numerical solution of finite element models. By using extrapolation-like concepts, improved solutions may be obtained without increasing the computational cost of the problem or requiring postprocessing of the results. Some examples are shown for which exact solution is available in order to validate the method.
Fil: Bergallo, Marta. Universidad Nacional del Litoral; Argentina
Fil: Neuman, C.E.. Universidad Nacional del Litoral; Argentina
Fil: Sonzogni, Victorio Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
description The use of composite finite element models where meshes with different granularities are allowed to share the same problem domain, is introduced. The idea of this method was taken from the mixture theory of multiphase materials, where the properties of each component enter into the formulation affected by a participation factor. The different behaviors of each component mesh due to differences in the model accuracy rather than to the material properties. We perform estimation of local and global errors for some problems in planar domains that are drawn from engineering problems (structural elastic deformations or heat and mass transfer in catalytic chemical reactors). The main examples in this work are elliptic problems with boundary conditions of Dirichlet, Neumann, and mixed types. The method is not restricted to 2D, being also applicable to 3D problems. In this paper, we also develop the use of composite models with the target of improving the numerical solution of finite element models. By using extrapolation-like concepts, improved solutions may be obtained without increasing the computational cost of the problem or requiring postprocessing of the results. Some examples are shown for which exact solution is available in order to validate the method.
publishDate 2000
dc.date.none.fl_str_mv 2000-03
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/27810
Bergallo, Marta; Neuman, C.E.; Sonzogni, Victorio Enrique; Composite mesh concept based FEM error estimation and solution improvement; Elsevier Science Sa; Computer Methods in Applied Mechanics and Engineering; 188; 3-2000; 755-774
0045-7825
CONICET Digital
CONICET
url http://hdl.handle.net/11336/27810
identifier_str_mv Bergallo, Marta; Neuman, C.E.; Sonzogni, Victorio Enrique; Composite mesh concept based FEM error estimation and solution improvement; Elsevier Science Sa; Computer Methods in Applied Mechanics and Engineering; 188; 3-2000; 755-774
0045-7825
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/S0045-7825(99)00360-6
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science Sa
publisher.none.fl_str_mv Elsevier Science Sa
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.13397

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