A factorization method for the inverse scattering of the wave equation

Tietäväinen, Pekka

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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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