A 3-dimensional Bergman Kernel method with applications to rectangular domains

Detalhes bibliográficos
Autor(a) principal: Bock, S.
Data de Publicação: 2006
Outros Autores: Falcão, M. I., Guerlebeck, K., Malonek, H. R.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/5940
Resumo: In this paper we revisit the so-called Bergman kernel method - BKM - for solving conformal mapping problems and propose a generalized BKM-approach to extend the theory to 3-dimensional mapping problems. A special software package for quaternions was developed for the numerical experiments.
id RCAP_0d5a68ce8f51ab03c6d4a6e79903f264
oai_identifier_str oai:repositorium.sdum.uminho.pt:1822/5940
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling A 3-dimensional Bergman Kernel method with applications to rectangular domainsNumerical conformal mappingBergman KernelQuaternionsScience & TechnologyIn this paper we revisit the so-called Bergman kernel method - BKM - for solving conformal mapping problems and propose a generalized BKM-approach to extend the theory to 3-dimensional mapping problems. A special software package for quaternions was developed for the numerical experiments.Fundação para a Ciência e a Tecnologia (FCT)ElsevierUniversidade do MinhoBock, S.Falcão, M. I.Guerlebeck, K.Malonek, H. R.2006-05-012006-05-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/5940eng"Journal of computational and applied mathematics". ISSN 0377-0427. 189 (May 2006) 67-79.0377-042710.1016/j.cam.2005.04.058http://www.sciencedirect.com/science/journal/03770427info: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:RCAAP2023-07-21T12:45:40Zoai:repositorium.sdum.uminho.pt:1822/5940Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:43:33.093834Repositório 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 A 3-dimensional Bergman Kernel method with applications to rectangular domains
title A 3-dimensional Bergman Kernel method with applications to rectangular domains
spellingShingle A 3-dimensional Bergman Kernel method with applications to rectangular domains
Bock, S.
Numerical conformal mapping
Bergman Kernel
Quaternions
Science & Technology
title_short A 3-dimensional Bergman Kernel method with applications to rectangular domains
title_full A 3-dimensional Bergman Kernel method with applications to rectangular domains
title_fullStr A 3-dimensional Bergman Kernel method with applications to rectangular domains
title_full_unstemmed A 3-dimensional Bergman Kernel method with applications to rectangular domains
title_sort A 3-dimensional Bergman Kernel method with applications to rectangular domains
author Bock, S.
author_facet Bock, S.
Falcão, M. I.
Guerlebeck, K.
Malonek, H. R.
author_role author
author2 Falcão, M. I.
Guerlebeck, K.
Malonek, H. R.
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Bock, S.
Falcão, M. I.
Guerlebeck, K.
Malonek, H. R.
dc.subject.por.fl_str_mv Numerical conformal mapping
Bergman Kernel
Quaternions
Science & Technology
topic Numerical conformal mapping
Bergman Kernel
Quaternions
Science & Technology
description In this paper we revisit the so-called Bergman kernel method - BKM - for solving conformal mapping problems and propose a generalized BKM-approach to extend the theory to 3-dimensional mapping problems. A special software package for quaternions was developed for the numerical experiments.
publishDate 2006
dc.date.none.fl_str_mv 2006-05-01
2006-05-01T00:00:00Z
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/1822/5940
url http://hdl.handle.net/1822/5940
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv "Journal of computational and applied mathematics". ISSN 0377-0427. 189 (May 2006) 67-79.
0377-0427
10.1016/j.cam.2005.04.058
http://www.sciencedirect.com/science/journal/03770427
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 Elsevier
publisher.none.fl_str_mv Elsevier
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_ 1799132993157070848