CORRECTORS FOR THE NEUMANN PROBLEM IN THIN DOMAINS WITH LOCALLY PERIODIC OSCILLATORY STRUCTURE

Detalhes bibliográficos
Autor(a) principal: Pereira, Marcone C.
Data de Publicação: 2015
Outros Autores: Silva, Ricardo P. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1090/qam/1388
http://hdl.handle.net/11449/158715
Resumo: In this paper we are concerned with convergence of solutions of the Poisson equation with Neumann boundary conditions in a two-dimensional thin domain exhibiting highly oscillatory behavior in part of its boundary. We deal with the resonant case in which the height, amplitude and period of the oscillations are all of the same order, which is given by a small parameter epsilon > 0. Applying an appropriate corrector approach we get strong convergence when we replace the original solutions by a kind of first-order expansion through the Multiple-Scale Method.
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spelling CORRECTORS FOR THE NEUMANN PROBLEM IN THIN DOMAINS WITH LOCALLY PERIODIC OSCILLATORY STRUCTUREThin domainscorrectorsboundary oscillationhomogenizationIn this paper we are concerned with convergence of solutions of the Poisson equation with Neumann boundary conditions in a two-dimensional thin domain exhibiting highly oscillatory behavior in part of its boundary. We deal with the resonant case in which the height, amplitude and period of the oscillations are all of the same order, which is given by a small parameter epsilon > 0. Applying an appropriate corrector approach we get strong convergence when we replace the original solutions by a kind of first-order expansion through the Multiple-Scale Method.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Fundação para o Desenvolvimento da UNESP (FUNDUNESP)Univ Sao Paulo, Escola Artes Ciencias & Humanidades, Sao Paulo, SP, BrazilUniv Estadual Paulista, Inst Geociencias & Ciencias Exatas, Rio Claro, SP, BrazilUniv Estadual Paulista, Inst Geociencias & Ciencias Exatas, Rio Claro, SP, BrazilCNPq: 305210/2008-4FAPESP: 2008/53094-4FAPESP: 2012/06753-8FUNDUNESP: 0135812Brown UnivUniversidade de São Paulo (USP)Universidade Estadual Paulista (Unesp)Pereira, Marcone C.Silva, Ricardo P. [UNESP]2018-11-26T15:28:45Z2018-11-26T15:28:45Z2015-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article537-552http://dx.doi.org/10.1090/qam/1388Quarterly Of Applied Mathematics. Boston: Brown Univ, v. 73, n. 3, p. 537-552, 2015.0033-569Xhttp://hdl.handle.net/11449/15871510.1090/qam/1388WOS:000370802600009Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengQuarterly Of Applied Mathematicsinfo:eu-repo/semantics/openAccess2021-10-23T16:37:26Zoai:repositorio.unesp.br:11449/158715Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T16:37:26Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv CORRECTORS FOR THE NEUMANN PROBLEM IN THIN DOMAINS WITH LOCALLY PERIODIC OSCILLATORY STRUCTURE
title CORRECTORS FOR THE NEUMANN PROBLEM IN THIN DOMAINS WITH LOCALLY PERIODIC OSCILLATORY STRUCTURE
spellingShingle CORRECTORS FOR THE NEUMANN PROBLEM IN THIN DOMAINS WITH LOCALLY PERIODIC OSCILLATORY STRUCTURE
Pereira, Marcone C.
Thin domains
correctors
boundary oscillation
homogenization
title_short CORRECTORS FOR THE NEUMANN PROBLEM IN THIN DOMAINS WITH LOCALLY PERIODIC OSCILLATORY STRUCTURE
title_full CORRECTORS FOR THE NEUMANN PROBLEM IN THIN DOMAINS WITH LOCALLY PERIODIC OSCILLATORY STRUCTURE
title_fullStr CORRECTORS FOR THE NEUMANN PROBLEM IN THIN DOMAINS WITH LOCALLY PERIODIC OSCILLATORY STRUCTURE
title_full_unstemmed CORRECTORS FOR THE NEUMANN PROBLEM IN THIN DOMAINS WITH LOCALLY PERIODIC OSCILLATORY STRUCTURE
title_sort CORRECTORS FOR THE NEUMANN PROBLEM IN THIN DOMAINS WITH LOCALLY PERIODIC OSCILLATORY STRUCTURE
author Pereira, Marcone C.
author_facet Pereira, Marcone C.
Silva, Ricardo P. [UNESP]
author_role author
author2 Silva, Ricardo P. [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade de São Paulo (USP)
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Pereira, Marcone C.
Silva, Ricardo P. [UNESP]
dc.subject.por.fl_str_mv Thin domains
correctors
boundary oscillation
homogenization
topic Thin domains
correctors
boundary oscillation
homogenization
description In this paper we are concerned with convergence of solutions of the Poisson equation with Neumann boundary conditions in a two-dimensional thin domain exhibiting highly oscillatory behavior in part of its boundary. We deal with the resonant case in which the height, amplitude and period of the oscillations are all of the same order, which is given by a small parameter epsilon > 0. Applying an appropriate corrector approach we get strong convergence when we replace the original solutions by a kind of first-order expansion through the Multiple-Scale Method.
publishDate 2015
dc.date.none.fl_str_mv 2015-01-01
2018-11-26T15:28:45Z
2018-11-26T15:28:45Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1090/qam/1388
Quarterly Of Applied Mathematics. Boston: Brown Univ, v. 73, n. 3, p. 537-552, 2015.
0033-569X
http://hdl.handle.net/11449/158715
10.1090/qam/1388
WOS:000370802600009
url http://dx.doi.org/10.1090/qam/1388
http://hdl.handle.net/11449/158715
identifier_str_mv Quarterly Of Applied Mathematics. Boston: Brown Univ, v. 73, n. 3, p. 537-552, 2015.
0033-569X
10.1090/qam/1388
WOS:000370802600009
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Quarterly Of Applied Mathematics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 537-552
dc.publisher.none.fl_str_mv Brown Univ
publisher.none.fl_str_mv Brown Univ
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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