A method of discretization for the lagerström-cole model equation

A method of discretization for a non linear singularly perturbed boundary value problem is considered. It involves a certain number of steps, one of them including the application of Petrov-Galerkin finite element methods. The resulting scheme is called adjoint method scheme and is in some way relat...

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Autores:
Usón-Forniés, Fernando
Tipo de recurso:
Article of journal
Fecha de publicación:
2000
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/43736
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43736
http://bdigital.unal.edu.co/33834/
Palabra clave:
Singular perturbation problems
multigrid methods
finite elements
Petrov-Galerkin methods
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Usón-Forniés, Fernando0555b747-adea-46c3-856d-27c0986ea0e43002019-06-28T12:22:59Z2019-06-28T12:22:59Z2000https://repositorio.unal.edu.co/handle/unal/43736http://bdigital.unal.edu.co/33834/A method of discretization for a non linear singularly perturbed boundary value problem is considered. It involves a certain number of steps, one of them including the application of Petrov-Galerkin finite element methods. The resulting scheme is called adjoint method scheme and is in some way related to Niijima's scheme (cf. [11]). It is proved that this discretization provides existence and uniqueness of solution for a problem defined by the Lagerström- Cole model equation. Finally some numerical experiments compare the results obtained when the adjoint method scheme is used, as well as when Niijima's scheme or a direct finite element discretization are applied.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/33758Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 34, núm. 1 (2000); 1-18 0034-7426Usón-Forniés, Fernando (2000) A method of discretization for the lagerström-cole model equation. Revista Colombiana de Matemáticas; Vol. 34, núm. 1 (2000); 1-18 0034-7426 .A method of discretization for the lagerström-cole model equationArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTSingular perturbation problemsmultigrid methodsfinite elementsPetrov-Galerkin methodsORIGINAL33758-126902-1-PB.pdfapplication/pdf6837790https://repositorio.unal.edu.co/bitstream/unal/43736/1/33758-126902-1-PB.pdf5570e2c7dbc1209217f24ebe038a3a2fMD51THUMBNAIL33758-126902-1-PB.pdf.jpg33758-126902-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6910https://repositorio.unal.edu.co/bitstream/unal/43736/2/33758-126902-1-PB.pdf.jpg5cad85bb8bdb68ad3417e70fcec993d0MD52unal/43736oai:repositorio.unal.edu.co:unal/437362024-02-11 23:19:06.203Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv A method of discretization for the lagerström-cole model equation
title A method of discretization for the lagerström-cole model equation
spellingShingle A method of discretization for the lagerström-cole model equation
Singular perturbation problems
multigrid methods
finite elements
Petrov-Galerkin methods
title_short A method of discretization for the lagerström-cole model equation
title_full A method of discretization for the lagerström-cole model equation
title_fullStr A method of discretization for the lagerström-cole model equation
title_full_unstemmed A method of discretization for the lagerström-cole model equation
title_sort A method of discretization for the lagerström-cole model equation
dc.creator.fl_str_mv Usón-Forniés, Fernando
dc.contributor.author.spa.fl_str_mv Usón-Forniés, Fernando
dc.subject.proposal.spa.fl_str_mv Singular perturbation problems
multigrid methods
finite elements
Petrov-Galerkin methods
topic Singular perturbation problems
multigrid methods
finite elements
Petrov-Galerkin methods
description A method of discretization for a non linear singularly perturbed boundary value problem is considered. It involves a certain number of steps, one of them including the application of Petrov-Galerkin finite element methods. The resulting scheme is called adjoint method scheme and is in some way related to Niijima's scheme (cf. [11]). It is proved that this discretization provides existence and uniqueness of solution for a problem defined by the Lagerström- Cole model equation. Finally some numerical experiments compare the results obtained when the adjoint method scheme is used, as well as when Niijima's scheme or a direct finite element discretization are applied.
publishDate 2000
dc.date.issued.spa.fl_str_mv 2000
dc.date.accessioned.spa.fl_str_mv 2019-06-28T12:22:59Z
dc.date.available.spa.fl_str_mv 2019-06-28T12:22:59Z
dc.type.spa.fl_str_mv Artículo de revista
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url https://repositorio.unal.edu.co/handle/unal/43736
http://bdigital.unal.edu.co/33834/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/33758
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 34, núm. 1 (2000); 1-18 0034-7426
dc.relation.references.spa.fl_str_mv Usón-Forniés, Fernando (2000) A method of discretization for the lagerström-cole model equation. Revista Colombiana de Matemáticas; Vol. 34, núm. 1 (2000); 1-18 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
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dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
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dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
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