On Inverse Problems for Characteristic Sources in Helmholtz Equations
Autor(a) principal: | |
---|---|
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/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. |
id |
RCAP_908b558f2e4681485e9ddcf0365e2dc8 |
---|---|
oai_identifier_str |
oai:run.unl.pt:10362/147015 |
network_acronym_str |
RCAP |
network_name_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository_id_str |
7160 |
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:RCAAP2024-05-22T18:07:43Zoai:run.unl.pt:10362/147015Portal AgregadorONGhttps://www.rcaap.pt/oai/openairemluisa.alvim@gmail.comopendoar:71602024-05-22T18:07:43Repositório 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 |
dc.format.none.fl_str_mv |
application/pdf |
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 |
mluisa.alvim@gmail.com |
_version_ |
1817545906106400768 |