Iterative and range test methods for an inverse source problem for acoustic waves

Detalhes bibliográficos
Autor(a) principal: Alves, Carlos J. S.
Data de Publicação: 2009
Outros Autores: Kress, Rainer, Serranho, Pedro
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.2/1932
Resumo: We propose two methods for solving an inverse source problem for time-harmonic acoustic waves. Based on the reciprocity gap principle a nonlinear equation is presented for the locations and intensities of the point sources that can be solved via Newton iterations. To provide an initial guess for this iteration we suggest a range test algorithm for approximating the source locations. We give a mathematical foundation for the range test and exhibit its feasibility in connection with the iteration method by some numerical examples.
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spelling Iterative and range test methods for an inverse source problem for acoustic wavesInverse scattering problemSource identificationExterior sourceWe propose two methods for solving an inverse source problem for time-harmonic acoustic waves. Based on the reciprocity gap principle a nonlinear equation is presented for the locations and intensities of the point sources that can be solved via Newton iterations. To provide an initial guess for this iteration we suggest a range test algorithm for approximating the source locations. We give a mathematical foundation for the range test and exhibit its feasibility in connection with the iteration method by some numerical examples.FCTFundação Calouste GulbenkianFCT project POCI/MAT/60863/2004 and Fundação Calouste GulbenkianIOPscienceRepositório AbertoAlves, Carlos J. S.Kress, RainerSerranho, Pedro2011-10-31T10:54:27Z20092009-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/1932engAlves, Carlos; Kress, Rainer; Serranho, Pedro - Iterative and range test methods for an inverse source problem for acoustic waves. "Inverse Problems" [Em linha]. ISSN 0266-5611 (Print) 1361-6420 (Online). Vol. 25, nº 5 (2009), p. 1-180266-5611info: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:RCAAP2023-11-16T15:15:04Zoai:repositorioaberto.uab.pt:10400.2/1932Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:43:34.333372Repositório 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 Iterative and range test methods for an inverse source problem for acoustic waves
title Iterative and range test methods for an inverse source problem for acoustic waves
spellingShingle Iterative and range test methods for an inverse source problem for acoustic waves
Alves, Carlos J. S.
Inverse scattering problem
Source identification
Exterior source
title_short Iterative and range test methods for an inverse source problem for acoustic waves
title_full Iterative and range test methods for an inverse source problem for acoustic waves
title_fullStr Iterative and range test methods for an inverse source problem for acoustic waves
title_full_unstemmed Iterative and range test methods for an inverse source problem for acoustic waves
title_sort Iterative and range test methods for an inverse source problem for acoustic waves
author Alves, Carlos J. S.
author_facet Alves, Carlos J. S.
Kress, Rainer
Serranho, Pedro
author_role author
author2 Kress, Rainer
Serranho, Pedro
author2_role author
author
dc.contributor.none.fl_str_mv Repositório Aberto
dc.contributor.author.fl_str_mv Alves, Carlos J. S.
Kress, Rainer
Serranho, Pedro
dc.subject.por.fl_str_mv Inverse scattering problem
Source identification
Exterior source
topic Inverse scattering problem
Source identification
Exterior source
description We propose two methods for solving an inverse source problem for time-harmonic acoustic waves. Based on the reciprocity gap principle a nonlinear equation is presented for the locations and intensities of the point sources that can be solved via Newton iterations. To provide an initial guess for this iteration we suggest a range test algorithm for approximating the source locations. We give a mathematical foundation for the range test and exhibit its feasibility in connection with the iteration method by some numerical examples.
publishDate 2009
dc.date.none.fl_str_mv 2009
2009-01-01T00:00:00Z
2011-10-31T10:54:27Z
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/10400.2/1932
url http://hdl.handle.net/10400.2/1932
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Alves, Carlos; Kress, Rainer; Serranho, Pedro - Iterative and range test methods for an inverse source problem for acoustic waves. "Inverse Problems" [Em linha]. ISSN 0266-5611 (Print) 1361-6420 (Online). Vol. 25, nº 5 (2009), p. 1-18
0266-5611
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 IOPscience
publisher.none.fl_str_mv IOPscience
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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