Error Estimates for the Coupling of Analytical and Numerical Solutions

Detalhes bibliográficos
Autor(a) principal: Legatiuk, Dmitry
Data de Publicação: 2017
Outros Autores: Gürlebeck, Klaus, Kähler, Uwe
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/18250
Resumo: In this paper we present error estimates for a continuous coupling of an analytical and a numerical solution for a boundary value problem with a singularity. A solution of the Lamé–Navier equation with a singularity caused by a crack is considered as an example. The analytical solution near a singularity is constructed by using complex function theory and coupled continuously with the finite element solution. The objective of this paper is to estimate the coupling error, which cannot be covered by the classical theory of the finite element method.
id RCAP_2e9ceea237b2461e4ad568764584c0fc
oai_identifier_str oai:ria.ua.pt:10773/18250
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Error Estimates for the Coupling of Analytical and Numerical SolutionsError estimationInterpolationCouplingAnalytical solutionSingularityKolosov–Muskhelishvili formulaeIn this paper we present error estimates for a continuous coupling of an analytical and a numerical solution for a boundary value problem with a singularity. A solution of the Lamé–Navier equation with a singularity caused by a crack is considered as an example. The analytical solution near a singularity is constructed by using complex function theory and coupled continuously with the finite element solution. The objective of this paper is to estimate the coupling error, which cannot be covered by the classical theory of the finite element method.Birkhaeuser2018-07-20T14:01:01Z2017-06-01T00:00:00Z2017-062018-06-01T10:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/18250eng1661-826210.1007/s11785-016-0583-yLegatiuk, DmitryGürlebeck, KlausKähler, Uweinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T11:33:50Zoai:ria.ua.pt:10773/18250Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:52:44.670458Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Error Estimates for the Coupling of Analytical and Numerical Solutions
title Error Estimates for the Coupling of Analytical and Numerical Solutions
spellingShingle Error Estimates for the Coupling of Analytical and Numerical Solutions
Legatiuk, Dmitry
Error estimation
Interpolation
Coupling
Analytical solution
Singularity
Kolosov–Muskhelishvili formulae
title_short Error Estimates for the Coupling of Analytical and Numerical Solutions
title_full Error Estimates for the Coupling of Analytical and Numerical Solutions
title_fullStr Error Estimates for the Coupling of Analytical and Numerical Solutions
title_full_unstemmed Error Estimates for the Coupling of Analytical and Numerical Solutions
title_sort Error Estimates for the Coupling of Analytical and Numerical Solutions
author Legatiuk, Dmitry
author_facet Legatiuk, Dmitry
Gürlebeck, Klaus
Kähler, Uwe
author_role author
author2 Gürlebeck, Klaus
Kähler, Uwe
author2_role author
author
dc.contributor.author.fl_str_mv Legatiuk, Dmitry
Gürlebeck, Klaus
Kähler, Uwe
dc.subject.por.fl_str_mv Error estimation
Interpolation
Coupling
Analytical solution
Singularity
Kolosov–Muskhelishvili formulae
topic Error estimation
Interpolation
Coupling
Analytical solution
Singularity
Kolosov–Muskhelishvili formulae
description In this paper we present error estimates for a continuous coupling of an analytical and a numerical solution for a boundary value problem with a singularity. A solution of the Lamé–Navier equation with a singularity caused by a crack is considered as an example. The analytical solution near a singularity is constructed by using complex function theory and coupled continuously with the finite element solution. The objective of this paper is to estimate the coupling error, which cannot be covered by the classical theory of the finite element method.
publishDate 2017
dc.date.none.fl_str_mv 2017-06-01T00:00:00Z
2017-06
2018-07-20T14:01:01Z
2018-06-01T10:00:00Z
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://hdl.handle.net/10773/18250
url http://hdl.handle.net/10773/18250
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1661-8262
10.1007/s11785-016-0583-y
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Birkhaeuser
publisher.none.fl_str_mv Birkhaeuser
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
_version_ 1799137578037805056

Registros relacionados