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

2009-03-05Artigo científico Acesso aberto
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datacite.subject.fosCiências Naturais::Matemáticas
datacite.subject.fosCiências Naturais::Ciências da Computação e da Informação
dc.contributor.authorAlves, Carlos
dc.contributor.authorKress, Rainer
dc.contributor.authorSerranho, Pedro
dc.date.accessioned2025-05-15T17:07:49Z
dc.date.available2025-05-15T17:07:49Z
dc.date.issued2009-03-05
dc.description.abstractWe 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.eng
dc.description.sponsorshipC Alves acknowledges the support by the FCT project POCI/MAT/60863/2004. P Serranho acknowledges the support of his research by Fundação Calouste Gulbenkian. This work was initiated during visits of RK at the Instituto Superior Técnico in Lisbon and of PS at the University of Gottingen. The support and the hospitality are gratefully acknowledged.
dc.identifier.citationAlves, C., Kress, R., & Serranho, P. (2009). Iterative and range test methods for an inverse source problem for acoustic waves. Inverse Problems, 25(5), 055005. DOI: https://doi.org/10.1088/0266-5611/25/5/055005.
dc.identifier.doi10.1088/0266-5611/25/5/055005
dc.identifier.issn0266-5611
dc.identifier.urihttp://hdl.handle.net/10400.8/12895
dc.language.isoeng
dc.peerreviewedyes
dc.publisherIOP Publishing
dc.relationInverse Problems and Meshless Methods in Partial Differential Equations
dc.relation.hasversionhttps://iopscience.iop.org/article/10.1088/0266-5611/25/5/055005
dc.relation.ispartofInverse Problems
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectAcoustic waves
dc.subjectNonlinear equations
dc.subjectInitial guess
dc.subjectInverse source problem
dc.subjectIteration method
dc.subjectMathematical foundations
dc.subjectNewton iterations
dc.subjectNumerical example
dc.subjectPoint sources
dc.subjectReciprocity gap
dc.subjectSource location
dc.subjectTest algorithms
dc.subjectTest method
dc.subjectTime-harmonic
dc.subjectAcoustics
dc.titleIterative and range test methods for an inverse source problem for acoustic waveseng
dc.typejournal article
dspace.entity.typePublication
oaire.awardNumberPOCI/MAT/60863/2004
oaire.awardTitleInverse Problems and Meshless Methods in Partial Differential Equations
oaire.awardURIhttp://hdl.handle.net/10400.8/12894
oaire.citation.endPage17
oaire.citation.issue5
oaire.citation.startPage1
oaire.citation.titleInverse Problems
oaire.citation.volume25
oaire.fundingStreamConcurso para Projectos de I&D em todos os Domínios Científicos - 2004
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyNameSerranho
person.givenNamePedro
person.identifier.orcid0000-0003-2176-3923
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relation.isAuthorOfPublication.latestForDiscoverydac740d0-c72f-4bf6-95b7-e229bb0471df
relation.isProjectOfPublicationdca86457-92b8-4521-860e-41875ebdbc4b
relation.isProjectOfPublication.latestForDiscoverydca86457-92b8-4521-860e-41875ebdbc4b

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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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