Nonconforming Galerkin methods for the Helmholtz equation

Autores
Douglas Jr., Jim; Santos, Juan Enrique; Sheen, Dongwoo
Año de publicación
2001
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Nonconforming Galerkin methods for a Helmholtz-like problem arising in seismology are discussed both for standard simplicial linear elements and for several new rectangular elements related to bilinear or trilinear elements. Optimal order error estimates in a broken energy norm are derived for all elements and in L2 for some of the elements when proper quadrature rules are applied to the absorbing boundary condition. Domain decomposition iterative procedures are introduced for the nonconforming methods, and their convergence at a predictable rate is established.
Facultad de Ciencias Astronómicas y Geofísicas
Materia
Ciencias Exactas
Domain decomposition method
Helmholtz
Nonconforming finite element
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:10915/100102
Acceder
id SEDICI_b22ee72f7299c38fdffe91994f77d38e
oai_identifier_str oai:sedici.unlp.edu.ar:10915/100102
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Nonconforming Galerkin methods for the Helmholtz equationDouglas Jr., JimSantos, Juan EnriqueSheen, DongwooCiencias ExactasDomain decomposition methodHelmholtzNonconforming finite elementNonconforming Galerkin methods for a Helmholtz-like problem arising in seismology are discussed both for standard simplicial linear elements and for several new rectangular elements related to bilinear or trilinear elements. Optimal order error estimates in a broken energy norm are derived for all elements and in L2 for some of the elements when proper quadrature rules are applied to the absorbing boundary condition. Domain decomposition iterative procedures are introduced for the nonconforming methods, and their convergence at a predictable rate is established.Facultad de Ciencias Astronómicas y Geofísicas2001-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf475-494http://sedici.unlp.edu.ar/handle/10915/100102enginfo:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/71731info:eu-repo/semantics/altIdentifier/issn/0749-159Xinfo:eu-repo/semantics/altIdentifier/doi/10.1002/num.1023info:eu-repo/semantics/altIdentifier/hdl/11336/71731info: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:UNLP2025-09-03T10:53:15Zoai:sedici.unlp.edu.ar:10915/100102Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 10:53:15.547SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Nonconforming Galerkin methods for the Helmholtz equation
title Nonconforming Galerkin methods for the Helmholtz equation
spellingShingle Nonconforming Galerkin methods for the Helmholtz equation
Douglas Jr., Jim
Ciencias Exactas
Domain decomposition method
Helmholtz
Nonconforming finite element
title_short Nonconforming Galerkin methods for the Helmholtz equation
title_full Nonconforming Galerkin methods for the Helmholtz equation
title_fullStr Nonconforming Galerkin methods for the Helmholtz equation
title_full_unstemmed Nonconforming Galerkin methods for the Helmholtz equation
title_sort Nonconforming Galerkin methods for the Helmholtz equation
dc.creator.none.fl_str_mv Douglas Jr., Jim
Santos, Juan Enrique
Sheen, Dongwoo
author Douglas Jr., Jim
author_facet Douglas Jr., Jim
Santos, Juan Enrique
Sheen, Dongwoo
author_role author
author2 Santos, Juan Enrique
Sheen, Dongwoo
author2_role author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Domain decomposition method
Helmholtz
Nonconforming finite element
topic Ciencias Exactas
Domain decomposition method
Helmholtz
Nonconforming finite element
dc.description.none.fl_txt_mv Nonconforming Galerkin methods for a Helmholtz-like problem arising in seismology are discussed both for standard simplicial linear elements and for several new rectangular elements related to bilinear or trilinear elements. Optimal order error estimates in a broken energy norm are derived for all elements and in L2 for some of the elements when proper quadrature rules are applied to the absorbing boundary condition. Domain decomposition iterative procedures are introduced for the nonconforming methods, and their convergence at a predictable rate is established.
Facultad de Ciencias Astronómicas y Geofísicas
description Nonconforming Galerkin methods for a Helmholtz-like problem arising in seismology are discussed both for standard simplicial linear elements and for several new rectangular elements related to bilinear or trilinear elements. Optimal order error estimates in a broken energy norm are derived for all elements and in L2 for some of the elements when proper quadrature rules are applied to the absorbing boundary condition. Domain decomposition iterative procedures are introduced for the nonconforming methods, and their convergence at a predictable rate is established.
publishDate 2001
dc.date.none.fl_str_mv 2001-09
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/10915/100102
url http://sedici.unlp.edu.ar/handle/10915/100102
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/71731
info:eu-repo/semantics/altIdentifier/issn/0749-159X
info:eu-repo/semantics/altIdentifier/doi/10.1002/num.1023
info:eu-repo/semantics/altIdentifier/hdl/11336/71731
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
475-494
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
_version_ 1842260415312035840
score 13.13397

Publicaciones similares