Publication
A hybrid method for the time-harmonic inverse acoustic transmission problem
| datacite.subject.fos | Ciências Naturais::Matemáticas | |
| dc.contributor.author | Paixão, João | |
| dc.contributor.author | Serranho, Pedro | |
| dc.date.accessioned | 2025-12-18T17:06:44Z | |
| dc.date.available | 2025-12-18T17:06:44Z | |
| dc.date.issued | 2025-04-01 | |
| dc.description.abstract | The inverse transmission problem of scattering an acoustic wave by a penetrable object has several applications in various fields such as radar, sonar, geophysical exploration, medical imaging and non destructive testing. Here we propose a numerical hybrid method to inverse acoustic scattering by penetrable obstacles from far-field data in two-dimensions, that extends an iterative decomposition method to the transmission problem. The proposed method starts by reconstructing the scattered and interior field by imposing the far-field equation and one of the transmission conditions and, in the second step it uses the second transmission condition to update the position of the approximated boundary, by linearization. Also, we compared two approaches for the linearization step: a Newtontype method; and a gradient-type method with a penalty term for high oscillations of the solution. We also support the methods by a convergence result for a related optimization problem. Numerical results from eight incident directions show the method is feasible, though sensitive to noise. | eng |
| dc.identifier.doi | 10.1088/1402-4896/adbc2b | |
| dc.identifier.uri | http://hdl.handle.net/10400.2/20553 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | Institute od Physics | |
| dc.relation | Center for Computational and Stochastic Mathematics | |
| dc.relation | Center for Computational and Stochastic Mathematics | |
| dc.relation | Coimbra Institute for Biomedical Imaging and Translational Research | |
| dc.relation | Coimbra Institute for Biomedical Imaging and Translational Research | |
| dc.relation.hasversion | www.doi.org/10.1088/1402-4896/adbc2b | |
| dc.relation.ispartof | Physica Scripta | |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Inverse problem | |
| dc.subject | Acoustic transmission problem | |
| dc.subject | Hybrid method | |
| dc.subject | Iterative decomposition method | |
| dc.subject | Far-field data | |
| dc.title | A hybrid method for the time-harmonic inverse acoustic transmission problem | eng |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | Center for Computational and Stochastic Mathematics | |
| oaire.awardTitle | Center for Computational and Stochastic Mathematics | |
| oaire.awardTitle | Coimbra Institute for Biomedical Imaging and Translational Research | |
| oaire.awardTitle | Coimbra Institute for Biomedical Imaging and Translational Research | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F04621%2F2020/PT | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F04621%2F2020/PT | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F04950%2F2020/PT | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F04950%2F2020/PT | |
| oaire.citation.issue | 045228 | |
| oaire.citation.title | Physica Scripta | |
| oaire.citation.volume | 100 | |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| oaire.version | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |
| person.familyName | Paixão | |
| person.familyName | Serranho | |
| person.givenName | João | |
| person.givenName | Pedro | |
| person.identifier.ciencia-id | 031F-5D62-E6EC | |
| person.identifier.orcid | 0009-0003-4618-9881 | |
| person.identifier.orcid | 0000-0003-2176-3923 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
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