Convergence of an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materials

Detalhes bibliográficos
Autor(a) principal: Araújo, Adérito
Data de Publicação: 2018
Outros Autores: Barbeiro, Sílvia, Khaksar Ghalati, Maryam
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.8/8542
Resumo: We propose an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materials and derive its convergence properties. The a priori error estimates are illustrated by numerical means in some experiments. Motivated by a real application which encompasses modeling electromagnetic wave’s propagation through the eye’s structures, we simulate our model in a 2D domain aiming to represent a simple example of light scattering in the outer nuclear layer of the retina.
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spelling Convergence of an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materialsMaxwell’s equationsExplicit iterative leap-frog discontinuous Galerkin methodConvergenceLight scatteringWe propose an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materials and derive its convergence properties. The a priori error estimates are illustrated by numerical means in some experiments. Motivated by a real application which encompasses modeling electromagnetic wave’s propagation through the eye’s structures, we simulate our model in a 2D domain aiming to represent a simple example of light scattering in the outer nuclear layer of the retina.SpringerOpenIC-OnlineAraújo, AdéritoBarbeiro, SílviaKhaksar Ghalati, Maryam2023-05-31T10:48:55Z20182018-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.8/8542engAraújo, A., Barbeiro, S., & Khaksar Ghalati, M. (2018). Convergence of an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materials. Journal of Mathematics in Industry, 8(9). https://doi.org/10.1186/s13362-018-0051-62190-598310.1186/s13362-018-0051-6info: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:RCAAP2024-01-17T15:57:34Zoai:iconline.ipleiria.pt:10400.8/8542Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:51:14.477602Repositório 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 Convergence of an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materials
title Convergence of an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materials
spellingShingle Convergence of an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materials
Araújo, Adérito
Maxwell’s equations
Explicit iterative leap-frog discontinuous Galerkin method
Convergence
Light scattering
title_short Convergence of an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materials
title_full Convergence of an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materials
title_fullStr Convergence of an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materials
title_full_unstemmed Convergence of an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materials
title_sort Convergence of an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materials
author Araújo, Adérito
author_facet Araújo, Adérito
Barbeiro, Sílvia
Khaksar Ghalati, Maryam
author_role author
author2 Barbeiro, Sílvia
Khaksar Ghalati, Maryam
author2_role author
author
dc.contributor.none.fl_str_mv IC-Online
dc.contributor.author.fl_str_mv Araújo, Adérito
Barbeiro, Sílvia
Khaksar Ghalati, Maryam
dc.subject.por.fl_str_mv Maxwell’s equations
Explicit iterative leap-frog discontinuous Galerkin method
Convergence
Light scattering
topic Maxwell’s equations
Explicit iterative leap-frog discontinuous Galerkin method
Convergence
Light scattering
description We propose an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materials and derive its convergence properties. The a priori error estimates are illustrated by numerical means in some experiments. Motivated by a real application which encompasses modeling electromagnetic wave’s propagation through the eye’s structures, we simulate our model in a 2D domain aiming to represent a simple example of light scattering in the outer nuclear layer of the retina.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-01-01T00:00:00Z
2023-05-31T10:48:55Z
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/10400.8/8542
url http://hdl.handle.net/10400.8/8542
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Araújo, A., Barbeiro, S., & Khaksar Ghalati, M. (2018). Convergence of an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materials. Journal of Mathematics in Industry, 8(9). https://doi.org/10.1186/s13362-018-0051-6
2190-5983
10.1186/s13362-018-0051-6
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 SpringerOpen
publisher.none.fl_str_mv SpringerOpen
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
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