Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems

Autores
Douglas, Jim; Santos, Juan Enrique; Sheen, Dongwoo; Ye, Xiu
Año de publicación
1999
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Low-order nonconforming Galerkin methods will be analyzed for second-order elliptic equations subjected to Robin, Dirichlet, or Neumann boundary conditions. Both simplicial and rectangular elements will be considered in two and three dimensions. The simplicial elements will be based on P 1 , as for conforming elements; however, it is necessary to introduce new elements in the rectangular case. Optimal order error estimates are demonstrated in all cases with respect to a broken norm in H 1 (Ω) and in the Neumann and Robin cases in L 2 (Ω).
Facultad de Ciencias Astronómicas y Geofísicas
Materia
Ciencias Astronómicas
Nonconforming Galerkin methods
Quadrilateral elements
Second order elliptic problems
Domain decomposition iterative methods
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/122845
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/122845
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problemsDouglas, JimSantos, Juan EnriqueSheen, DongwooYe, XiuCiencias AstronómicasNonconforming Galerkin methodsQuadrilateral elementsSecond order elliptic problemsDomain decomposition iterative methodsLow-order nonconforming Galerkin methods will be analyzed for second-order elliptic equations subjected to Robin, Dirichlet, or Neumann boundary conditions. Both simplicial and rectangular elements will be considered in two and three dimensions. The simplicial elements will be based on P 1 , as for conforming elements; however, it is necessary to introduce new elements in the rectangular case. Optimal order error estimates are demonstrated in all cases with respect to a broken norm in H 1 (Ω) and in the Neumann and Robin cases in L 2 (Ω).Facultad de Ciencias Astronómicas y Geofísicas1999info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf747-770http://sedici.unlp.edu.ar/handle/10915/122845enginfo:eu-repo/semantics/altIdentifier/issn/0764583xinfo:eu-repo/semantics/altIdentifier/issn/12903841info:eu-repo/semantics/altIdentifier/doi/10.1051/m2an:1999161info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-10T12:31:55Zoai:sedici.unlp.edu.ar:10915/122845Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-10 12:31:55.485SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
title Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
spellingShingle Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
Douglas, Jim
Ciencias Astronómicas
Nonconforming Galerkin methods
Quadrilateral elements
Second order elliptic problems
Domain decomposition iterative methods
title_short Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
title_full Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
title_fullStr Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
title_full_unstemmed Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
title_sort Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
dc.creator.none.fl_str_mv Douglas, Jim
Santos, Juan Enrique
Sheen, Dongwoo
Ye, Xiu
author Douglas, Jim
author_facet Douglas, Jim
Santos, Juan Enrique
Sheen, Dongwoo
Ye, Xiu
author_role author
author2 Santos, Juan Enrique
Sheen, Dongwoo
Ye, Xiu
author2_role author
author
author
dc.subject.none.fl_str_mv Ciencias Astronómicas
Nonconforming Galerkin methods
Quadrilateral elements
Second order elliptic problems
Domain decomposition iterative methods
topic Ciencias Astronómicas
Nonconforming Galerkin methods
Quadrilateral elements
Second order elliptic problems
Domain decomposition iterative methods
dc.description.none.fl_txt_mv Low-order nonconforming Galerkin methods will be analyzed for second-order elliptic equations subjected to Robin, Dirichlet, or Neumann boundary conditions. Both simplicial and rectangular elements will be considered in two and three dimensions. The simplicial elements will be based on P 1 , as for conforming elements; however, it is necessary to introduce new elements in the rectangular case. Optimal order error estimates are demonstrated in all cases with respect to a broken norm in H 1 (Ω) and in the Neumann and Robin cases in L 2 (Ω).
Facultad de Ciencias Astronómicas y Geofísicas
description Low-order nonconforming Galerkin methods will be analyzed for second-order elliptic equations subjected to Robin, Dirichlet, or Neumann boundary conditions. Both simplicial and rectangular elements will be considered in two and three dimensions. The simplicial elements will be based on P 1 , as for conforming elements; however, it is necessary to introduce new elements in the rectangular case. Optimal order error estimates are demonstrated in all cases with respect to a broken norm in H 1 (Ω) and in the Neumann and Robin cases in L 2 (Ω).
publishDate 1999
dc.date.none.fl_str_mv 1999
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/122845
url http://sedici.unlp.edu.ar/handle/10915/122845
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0764583x
info:eu-repo/semantics/altIdentifier/issn/12903841
info:eu-repo/semantics/altIdentifier/doi/10.1051/m2an:1999161
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
747-770
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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