On Inverse Problems for Characteristic Sources in Helmholtz Equations

Detalhes bibliográficos
Autor(a) principal: Alves, Carlos J.S.
Data de Publicação: 2017
Outros Autores: Mamud, Roberto, Martins, Nuno F.M., Roberty, Nilson C.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10362/147015
Resumo: This work was partially financed by Brazilian agencies CNPq, Process no. 141829/2012-5, and CAPES, Process no. 99999.007941/2014-5.
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spelling On Inverse Problems for Characteristic Sources in Helmholtz EquationsMathematics(all)Engineering(all)This work was partially financed by Brazilian agencies CNPq, Process no. 141829/2012-5, and CAPES, Process no. 99999.007941/2014-5.We consider the inverse problem that consists in the determination of characteristic sources, in the modified and classical Helmholtz equations, based on external boundary measurements. We identify the location of the barycenter establishing a simple formula for symmetric shapes, which also holds for the determination of a single source point. We use this for the reconstruction of the characteristic source, based on the Method of Fundamental Solutions (MFS). The MFS is also applied as a solver for the direct problem, using an equivalent formulation as a jump or transmission problem. As a solver for the inverse problem, we may apply minimization using an equivalent reciprocity functional formulation. Numerical experiments with the barycenter and the boundary reconstructions are presented.DM - Departamento de MatemáticaRUNAlves, Carlos J.S.Mamud, RobertoMartins, Nuno F.M.Roberty, Nilson C.2023-01-05T22:10:24Z2017-01-012017-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10362/147015eng1024-123XPURE: 6658521https://doi.org/10.1155/2017/2472060info: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:RCAAP2024-03-11T05:27:59Zoai:run.unl.pt:10362/147015Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:52:44.942953Repositório 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 On Inverse Problems for Characteristic Sources in Helmholtz Equations
title On Inverse Problems for Characteristic Sources in Helmholtz Equations
spellingShingle On Inverse Problems for Characteristic Sources in Helmholtz Equations
Alves, Carlos J.S.
Mathematics(all)
Engineering(all)
title_short On Inverse Problems for Characteristic Sources in Helmholtz Equations
title_full On Inverse Problems for Characteristic Sources in Helmholtz Equations
title_fullStr On Inverse Problems for Characteristic Sources in Helmholtz Equations
title_full_unstemmed On Inverse Problems for Characteristic Sources in Helmholtz Equations
title_sort On Inverse Problems for Characteristic Sources in Helmholtz Equations
author Alves, Carlos J.S.
author_facet Alves, Carlos J.S.
Mamud, Roberto
Martins, Nuno F.M.
Roberty, Nilson C.
author_role author
author2 Mamud, Roberto
Martins, Nuno F.M.
Roberty, Nilson C.
author2_role author
author
author
dc.contributor.none.fl_str_mv DM - Departamento de Matemática
RUN
dc.contributor.author.fl_str_mv Alves, Carlos J.S.
Mamud, Roberto
Martins, Nuno F.M.
Roberty, Nilson C.
dc.subject.por.fl_str_mv Mathematics(all)
Engineering(all)
topic Mathematics(all)
Engineering(all)
description This work was partially financed by Brazilian agencies CNPq, Process no. 141829/2012-5, and CAPES, Process no. 99999.007941/2014-5.
publishDate 2017
dc.date.none.fl_str_mv 2017-01-01
2017-01-01T00:00:00Z
2023-01-05T22:10:24Z
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/10362/147015
url http://hdl.handle.net/10362/147015
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1024-123X
PURE: 6658521
https://doi.org/10.1155/2017/2472060
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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