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.
Fil: Douglas Jr., Jim. Purdue University; Estados Unidos
Fil: Santos, Juan Enrique. Purdue University; Estados Unidos. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Observatorio Astronómico de La Plata - Sede Central; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Sheen, Dongwoo. Seoul National University; Corea del Sur
Materia
DOMAIN DECOMPOSITION METHOD
HELMHOLTZ
NONCONFORMING FINITE ELEMENT
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:11336/71731
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/71731
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Nonconforming Galerkin methods for the Helmholtz equationDouglas Jr., JimSantos, Juan EnriqueSheen, DongwooDOMAIN DECOMPOSITION METHODHELMHOLTZNONCONFORMING FINITE ELEMENThttps://purl.org/becyt/ford/1.5https://purl.org/becyt/ford/1Nonconforming 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.Fil: Douglas Jr., Jim. Purdue University; Estados UnidosFil: Santos, Juan Enrique. Purdue University; Estados Unidos. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Observatorio Astronómico de La Plata - Sede Central; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Sheen, Dongwoo. Seoul National University; Corea del SurJohn Wiley & Sons Inc2001-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/71731Douglas Jr., Jim; Santos, Juan Enrique; Sheen, Dongwoo; Nonconforming Galerkin methods for the Helmholtz equation; John Wiley & Sons Inc; Numerical Methods For Partial Differential Equations; 17; 5; 9-2001; 475-4940749-159XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1002/num.1023info:eu-repo/semantics/altIdentifier/url/https://onlinelibrary.wiley.com/doi/10.1002/num.1023info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:44:37Zoai:ri.conicet.gov.ar:11336/71731instacron: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 09:44:37.232CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
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
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 DOMAIN DECOMPOSITION METHOD
HELMHOLTZ
NONCONFORMING FINITE ELEMENT
topic DOMAIN DECOMPOSITION METHOD
HELMHOLTZ
NONCONFORMING FINITE ELEMENT
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.5
https://purl.org/becyt/ford/1
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.
Fil: Douglas Jr., Jim. Purdue University; Estados Unidos
Fil: Santos, Juan Enrique. Purdue University; Estados Unidos. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Observatorio Astronómico de La Plata - Sede Central; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Sheen, Dongwoo. Seoul National University; Corea del Sur
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
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/11336/71731
Douglas Jr., Jim; Santos, Juan Enrique; Sheen, Dongwoo; Nonconforming Galerkin methods for the Helmholtz equation; John Wiley & Sons Inc; Numerical Methods For Partial Differential Equations; 17; 5; 9-2001; 475-494
0749-159X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/71731
identifier_str_mv Douglas Jr., Jim; Santos, Juan Enrique; Sheen, Dongwoo; Nonconforming Galerkin methods for the Helmholtz equation; John Wiley & Sons Inc; Numerical Methods For Partial Differential Equations; 17; 5; 9-2001; 475-494
0749-159X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1002/num.1023
info:eu-repo/semantics/altIdentifier/url/https://onlinelibrary.wiley.com/doi/10.1002/num.1023
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 John Wiley & Sons Inc
publisher.none.fl_str_mv John Wiley & Sons Inc
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
_version_ 1842268678384517120
score 13.13397

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