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A factorization method for the inverse scattering of the wave equation

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dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en
dc.contributor.advisor Lassas, Matti, Prof.
dc.contributor.author Tietäväinen, Pekka
dc.date.accessioned 2012-08-31T07:37:56Z
dc.date.available 2012-08-31T07:37:56Z
dc.date.issued 2011
dc.identifier.isbn 978-952-60-4233-6 (PDF)
dc.identifier.isbn 978-952-60-4232-9 (printed)
dc.identifier.issn 1799-4942
dc.identifier.uri https://aaltodoc.aalto.fi/handle/123456789/5008
dc.description.abstract In this work the reconstruction problem of the scattering of the wave equation is considered. Our approach is to start from Colton-Kirch factorization method, derive a similar method for the time harmonic Robin problem, and use this to create a reconstruction for the wave equation. The new results presented in this work are the factorization reconstruction method for the time harmonic Robin scattering; the error limits that predict the trustworthiness of this reconstruction for various frequencies; and the factorization for the scattering of the wave equation, which includes two tests to determine whether a point is located in the scatterer. en
dc.format.extent Verkkokirja (4047 KB, 145 s.)
dc.format.mimetype application/pdf
dc.language.iso en en
dc.publisher Aalto University en
dc.relation.ispartofseries Aalto University publication series DOCTORAL DISSERTATIONS , 66/2011 en
dc.subject.other Mathematics
dc.title A factorization method for the inverse scattering of the wave equation en
dc.type G4 Monografiaväitöskirja fi
dc.contributor.school Perustieteiden korkeakoulu fi
dc.contributor.department Matematiikan ja systeemianalyysin laitos fi
dc.contributor.department Department of Mathematics and Systems Analysis en
dc.subject.keyword inverse problems en
dc.subject.keyword factorization en
dc.subject.keyword Robin boundary conditions en
dc.subject.keyword wave equation en
dc.subject.keyword Helmholtz equation en
dc.subject.keyword scattering en
dc.identifier.urn URN:ISBN:978-952-60-4233-6
dc.type.dcmitype text en
dc.type.ontasot Väitöskirja (monografia) fi
dc.type.ontasot Doctoral dissertation (monograph) en
dc.contributor.supervisor Nevanlinna, Olavi, Prof.

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