Error Estimates for the Coupling of Analytical and Numerical Solutions
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | , |
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. |
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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 |
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1799137578037805056 |